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  97. <div class="title">structural/VABS_Calc/practice/timoshenko.cpp</div>  </div>
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    99. 

  99. <div class="contents">
    100. 

  100. <a href="timoshenko_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 
    101. 

  101. <a name="l00002"></a>00002 <span class="comment">// This is some source code that ensures that I understand the Timoshenko VABS model</span>
    102. 

  102. <a name="l00003"></a>00003 
    103. 

  103. <a name="l00004"></a>00004 <span class="preprocessor">#include &lt;iostream&gt;</span>
    104. 

  104. <a name="l00005"></a>00005 <span class="preprocessor">#include &lt;sstream&gt;</span>
    105. 

  105. <a name="l00006"></a>00006 <span class="preprocessor">#include &lt;vector&gt;</span>
    106. 

  106. <a name="l00007"></a>00007 <span class="preprocessor">#include &lt;list&gt;</span>
    107. 

  107. <a name="l00008"></a>00008 <span class="preprocessor">#include &lt;cstdlib&gt;</span>
    108. 

  108. <a name="l00009"></a>00009 
    109. 

  109. <a name="l00010"></a>00010 <span class="keyword">using namespace </span>std;
    110. 

  110. <a name="l00011"></a>00011 
    111. 

  111. <a name="l00012"></a>00012 <span class="comment">// This was written in the middle when a new matrix library was being integrated to replace the old... so the code uses the old but written below to be easily replace with the new</span>
    112. 

  112. <a name="l00013"></a>00013 
    113. 

  113. <a name="l00014"></a>00014 <span class="preprocessor">#include &quot;../../../utility/cpplapack/trunk/include/cpplapack.h&quot;</span>
    114. 

  114. <a name="l00015"></a>00015 <span class="preprocessor">#include &quot;../../../utility/eMsg/ver_1/eMsg.h&quot;</span>
    115. 

  115. <a name="l00016"></a>00016 <span class="preprocessor">#include &quot;../../../utility/matrix/ver_2/matrixClass.h&quot;</span>
    116. 

  116. <a name="l00017"></a>00017 <span class="preprocessor">#include &quot;../../../utility/matrix_Solver/source/ver_1/matrixSolverSudo.cpp&quot;</span>
    117. 

  117. <a name="l00018"></a>00018 
    118. 

  118. <a name="l00019"></a><a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">00019</a> <span class="keyword">typedef</span> <span class="keywordtype">double</span> <a class="code" href="timoshenko_8cpp.html#a926743e1c2bd9fc382c84014036246c2">dataType</a>;
    119. 

  119. <a name="l00020"></a><a class="code" href="timoshenko_8cpp.html#aafc02576e05cd19ef8450044d881c1b5">00020</a> <span class="keyword">typedef</span> <a class="code" href="classmatrixRdWtSzVectCol__Data.html">matrixRdWtSzVectCol_Data&lt;double&gt;</a> <a class="code" href="timoshenko_8cpp.html#aafc02576e05cd19ef8450044d881c1b5">type_vector</a>;
    120. 

  120. <a name="l00021"></a><a class="code" href="timoshenko_8cpp.html#a0f9208db513a67c73562d6bc2acb2438">00021</a> <span class="keyword">typedef</span> <a class="code" href="classmatrixRdWtSzSqr__Data.html">matrixRdWtSzSqr_Data&lt;double&gt;</a> <a class="code" href="timoshenko_8cpp.html#a0f9208db513a67c73562d6bc2acb2438">type_squareMatrix</a>;
    121. 

  121. <a name="l00022"></a><a class="code" href="timoshenko_8cpp.html#ad87bbfc7dec18456e301e1a58ac12185">00022</a> <span class="keyword">typedef</span> <a class="code" href="classmatrixRdWtSz__Data.html">matrixRdWtSz_Data&lt;double&gt;</a> <a class="code" href="timoshenko_8cpp.html#ad87bbfc7dec18456e301e1a58ac12185">type_matrix</a>;
    122. 

  122. <a name="l00023"></a>00023 
    123. 

  123. <a name="l00024"></a>00024 <span class="comment">// problem specific stuff</span>
    124. 

  124. <a name="l00025"></a>00025 
    125. 

  125. <a name="l00026"></a><a class="code" href="timoshenko_8cpp.html#a856a5186f7bb53afe9807af3e350a3fc">00026</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="timoshenko_8cpp.html#a856a5186f7bb53afe9807af3e350a3fc">permutation</a>;
    126. 

  126. <a name="l00027"></a><a class="code" href="timoshenko_8cpp.html#a488a005f6c18cfe6a45f0dab98134def">00027</a> <a class="code" href="classmatrixRdWtSzSqr__Data.html">type_squareMatrix</a> <a class="code" href="timoshenko_8cpp.html#a488a005f6c18cfe6a45f0dab98134def">material</a>;
    127. 

  127. <a name="l00028"></a><a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">00028</a> <a class="code" href="classmatrixRdWtSzVectCol__Data.html">type_vector</a> <a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>;
    128. 

  128. <a name="l00029"></a>00029 
    129. 

  129. <a name="l00030"></a>00030 <span class="comment">// some utility code</span>
    130. 

  130. <a name="l00031"></a>00031 
    131. 

  131. <a name="l00032"></a><a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">00032</a> <span class="keywordtype">void</span> <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(<span class="keyword">const</span> <a class="code" href="classmatrix.html">matrix&lt;double&gt;</a>&amp; mtx)
    132. 

  132. <a name="l00033"></a>00033 {
    133. 

  133. <a name="l00034"></a>00034         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> r,c;
    134. 

  134. <a name="l00035"></a>00035 
    135. 

  135. <a name="l00036"></a>00036         mtx.<a class="code" href="classmatrix.html#a3a26f3543df8cff3e662e949e8b9234d">size</a>(r,c);
    136. 

  136. <a name="l00037"></a>00037 
    137. 

  137. <a name="l00038"></a>00038         stringstream ssArray;
    138. 

  138. <a name="l00039"></a>00039 
    139. 

  139. <a name="l00040"></a>00040         vector&lt;unsigned long&gt; maxCol(c,0);
    140. 

  140. <a name="l00041"></a>00041 
    141. 

  141. <a name="l00042"></a>00042         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;r;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    142. 

  142. <a name="l00043"></a>00043         {
    143. 

  143. <a name="l00044"></a>00044                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;c;j++)
    144. 

  144. <a name="l00045"></a>00045                 {
    145. 

  145. <a name="l00046"></a>00046                         ssArray.str(<span class="stringliteral">&quot;&quot;</span>);
    146. 

  146. <a name="l00047"></a>00047                         ssArray &lt;&lt; mtx.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j);
    147. 

  147. <a name="l00048"></a>00048                         <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sz=ssArray.str().size();
    148. 

  148. <a name="l00049"></a>00049                         <span class="keywordflow">if</span>(sz&gt;maxCol[j])
    149. 

  149. <a name="l00050"></a>00050                                 maxCol[j]=sz;
    150. 

  150. <a name="l00051"></a>00051                 }
    151. 

  151. <a name="l00052"></a>00052         }
    152. 

  152. <a name="l00053"></a>00053 
    153. 

  153. <a name="l00054"></a>00054         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;r;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    154. 

  154. <a name="l00055"></a>00055         {
    155. 

  155. <a name="l00056"></a>00056                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;c;j++)
    156. 

  156. <a name="l00057"></a>00057                 {
    157. 

  157. <a name="l00058"></a>00058                         ssArray.str(<span class="stringliteral">&quot;&quot;</span>);
    158. 

  158. <a name="l00059"></a>00059                         ssArray &lt;&lt; mtx.<a class="code" href="classmatrix.html#a81a746378de5ff16645b2cc51189e302">entry</a>(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j);
    159. 

  159. <a name="l00060"></a>00060                         cout &lt;&lt; ssArray.str().c_str();
    160. 

  160. <a name="l00061"></a>00061                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> k=ssArray.str().size();k&lt;=maxCol[j];k++)
    161. 

  161. <a name="l00062"></a>00062                                 cout &lt;&lt; <span class="charliteral">&#39; &#39;</span>;
    162. 

  162. <a name="l00063"></a>00063                 }
    163. 

  163. <a name="l00064"></a>00064                 cout &lt;&lt; endl;
    164. 

  164. <a name="l00065"></a>00065         }
    165. 

  165. <a name="l00066"></a>00066 }
    166. 

  166. <a name="l00067"></a>00067 
    167. 

  167. <a name="l00068"></a>00068 <span class="comment">// The following class&#39;s are temporary. They are meant to represent object that actually exist within the hiearchy.</span>
    168. 

  168. <a name="l00069"></a>00069 
    169. 

  169. <a name="l00070"></a>00070 <span class="keyword">template</span>&lt;<span class="keyword">class</span> retType&gt;
    170. 

  170. <a name="l00071"></a>00071 <span class="keyword">class </span><a class="code" href="classkernel.html">kernel</a>
    171. 

  171. <a name="l00072"></a>00072 {
    172. 

  172. <a name="l00073"></a>00073         <span class="keyword">public</span>:
    173. 

  173. <a name="l00074"></a>00074 
    174. 

  174. <a name="l00075"></a><a class="code" href="classkernel.html#a97692a5d1deced27bcf03133ed862096">00075</a>                 <a class="code" href="classkernel.html">kernel</a>()
    175. 

  175. <a name="l00076"></a>00076                 {}
    176. 

  176. <a name="l00077"></a>00077 
    177. 

  177. <a name="l00078"></a><a class="code" href="classkernel.html#aea52ea16c27097a2a28995516f88a388">00078</a>                 <span class="keyword">virtual</span> ~<a class="code" href="classkernel.html">kernel</a>()
    178. 

  178. <a name="l00079"></a>00079                 {}
    179. 

  179. <a name="l00080"></a>00080 
    180. 

  180. <a name="l00081"></a>00081                 <span class="keyword">virtual</span> retType value(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y,<span class="keywordtype">double</span> N0,<span class="keywordtype">double</span> N1,<span class="keywordtype">double</span> N2,<span class="keywordtype">double</span> N3,<span class="keywordtype">double</span> d0_dx,<span class="keywordtype">double</span> d0_dy,<span class="keywordtype">double</span> d1_dx,<span class="keywordtype">double</span> d1_dy,<span class="keywordtype">double</span> d2_dx,<span class="keywordtype">double</span> d2_dy,<span class="keywordtype">double</span> d3_dx,<span class="keywordtype">double</span> d3_dy)=0;
    181. 

  181. <a name="l00082"></a>00082 };
    182. 

  182. <a name="l00083"></a>00083 
    183. 

  183. <a name="l00084"></a>00084 <span class="keyword">class </span><a class="code" href="classkernel__dyad.html">kernel_dyad</a> : <span class="keyword">public</span> <a class="code" href="classkernel.html">kernel</a>&lt;type_matrix&gt;
    184. 

  184. <a name="l00085"></a>00085 {
    185. 

  185. <a name="l00086"></a>00086         <span class="keyword">private</span>:
    186. 

  186. <a name="l00087"></a>00087 
    187. 

  187. <a name="l00088"></a>00088                 <a class="code" href="classkernel.html">kernel&lt;type_vector&gt;</a>&amp; vectKrnl;
    188. 

  188. <a name="l00089"></a>00089 
    189. 

  189. <a name="l00090"></a>00090         <span class="keyword">public</span>:
    190. 

  190. <a name="l00091"></a>00091 
    191. 

  191. <a name="l00092"></a><a class="code" href="classkernel__dyad.html#af1fe11d91ec2a57d132d9315f2c960fc">00092</a>                 <a class="code" href="classkernel__dyad.html">kernel_dyad</a>(<a class="code" href="classkernel.html">kernel&lt;type_vector&gt;</a>&amp; vectKrnl_in) : vectKrnl(vectKrnl_in)
    192. 

  192. <a name="l00093"></a>00093                 {}
    193. 

  193. <a name="l00094"></a>00094 
    194. 

  194. <a name="l00095"></a><a class="code" href="classkernel__dyad.html#a1d251deb0934aaa10d4e7452395feb5e">00095</a>                 ~<a class="code" href="classkernel__dyad.html">kernel_dyad</a>()
    195. 

  195. <a name="l00096"></a>00096                 {}
    196. 

  196. <a name="l00097"></a>00097 
    197. 

  197. <a name="l00098"></a><a class="code" href="classkernel__dyad.html#a0d3cb39653f00b3559c37706e7001254">00098</a>                 <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> value(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y,<span class="keywordtype">double</span> N0,<span class="keywordtype">double</span> N1,<span class="keywordtype">double</span> N2,<span class="keywordtype">double</span> N3,<span class="keywordtype">double</span> d0_dx,<span class="keywordtype">double</span> d0_dy,<span class="keywordtype">double</span> d1_dx,<span class="keywordtype">double</span> d1_dy,<span class="keywordtype">double</span> d2_dx,<span class="keywordtype">double</span> d2_dy,<span class="keywordtype">double</span> d3_dx,<span class="keywordtype">double</span> d3_dy)
    198. 

  198. <a name="l00099"></a>00099                 {
    199. 

  199. <a name="l00100"></a>00100                         <span class="keywordflow">return</span> vectKrnl.value(x,y,N0,N1,N2,N3,d0_dx,d0_dy,d1_dx,d1_dy,d2_dx,d2_dy,d3_dx,d3_dy)*(vectKrnl.value(x,y,N0,N1,N2,N3,d0_dx,d0_dy,d1_dx,d1_dy,d2_dx,d2_dy,d3_dx,d3_dy)).<a class="code" href="rotationMath_8cpp.html#a77ad922cc714adc5ebf10e36b2dd58f8">T</a>();
    200. 

  200. <a name="l00101"></a>00101                 }
    201. 

  201. <a name="l00102"></a>00102 };
    202. 

  202. <a name="l00103"></a>00103 
    203. 

  203. <a name="l00104"></a>00104 <span class="keyword">class </span><a class="code" href="classkernel__shape.html">kernel_shape</a> : <span class="keyword">public</span> <a class="code" href="classkernel.html">kernel</a>&lt;type_vector&gt;
    204. 

  204. <a name="l00105"></a>00105 {
    205. 

  205. <a name="l00106"></a>00106         <span class="keyword">public</span>:
    206. 

  206. <a name="l00107"></a>00107 
    207. 

  207. <a name="l00108"></a><a class="code" href="classkernel__shape.html#a1d9164f7ba8887b40af4f3eae5b3df13">00108</a>                 <a class="code" href="classkernel__shape.html">kernel_shape</a>()
    208. 

  208. <a name="l00109"></a>00109                 {}
    209. 

  209. <a name="l00110"></a>00110 
    210. 

  210. <a name="l00111"></a><a class="code" href="classkernel__shape.html#affb60d94d3506839608e268378859721">00111</a>                 ~<a class="code" href="classkernel__shape.html">kernel_shape</a>()
    211. 

  211. <a name="l00112"></a>00112                 {}
    212. 

  212. <a name="l00113"></a>00113 
    213. 

  213. <a name="l00114"></a><a class="code" href="classkernel__shape.html#a30d87f05f9ba21bec121e322fd4db809">00114</a>                 <a class="code" href="classmatrixRdWtSzVectCol__Data.html">type_vector</a> value(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y,<span class="keywordtype">double</span> N0,<span class="keywordtype">double</span> N1,<span class="keywordtype">double</span> N2,<span class="keywordtype">double</span> N3,<span class="keywordtype">double</span> d0_dx,<span class="keywordtype">double</span> d0_dy,<span class="keywordtype">double</span> d1_dx,<span class="keywordtype">double</span> d1_dy,<span class="keywordtype">double</span> d2_dx,<span class="keywordtype">double</span> d2_dy,<span class="keywordtype">double</span> d3_dx,<span class="keywordtype">double</span> d3_dy)
    214. 

  214. <a name="l00115"></a>00115                 {
    215. 

  215. <a name="l00116"></a>00116                         <a class="code" href="classmatrixRdWtSzVectCol__Data.html">type_vector</a> retVal(12);
    216. 

  216. <a name="l00117"></a>00117 
    217. 

  217. <a name="l00118"></a>00118                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0)=N0;
    218. 

  218. <a name="l00119"></a>00119                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1)=N0;
    219. 

  219. <a name="l00120"></a>00120                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(2)=N0;
    220. 

  220. <a name="l00121"></a>00121 
    221. 

  221. <a name="l00122"></a>00122                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(3)=N1;
    222. 

  222. <a name="l00123"></a>00123                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(4)=N1;
    223. 

  223. <a name="l00124"></a>00124                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(5)=N1;
    224. 

  224. <a name="l00125"></a>00125 
    225. 

  225. <a name="l00126"></a>00126                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(6)=N2;
    226. 

  226. <a name="l00127"></a>00127                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(7)=N2;
    227. 

  227. <a name="l00128"></a>00128                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(8)=N2;
    228. 

  228. <a name="l00129"></a>00129 
    229. 

  229. <a name="l00130"></a>00130                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(9)=N3;
    230. 

  230. <a name="l00131"></a>00131                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(10)=N3;
    231. 

  231. <a name="l00132"></a>00132                         retVal.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(11)=N3;
    232. 

  232. <a name="l00133"></a>00133 
    233. 

  233. <a name="l00134"></a>00134                         <span class="keywordflow">return</span> retVal;
    234. 

  234. <a name="l00135"></a>00135                 }
    235. 

  235. <a name="l00136"></a>00136 };
    236. 

  236. <a name="l00137"></a>00137 
    237. 

  237. <a name="l00138"></a>00138 <span class="keyword">template</span> &lt;<span class="keyword">class</span> retType,<span class="keyword">class</span> leftType,<span class="keyword">class</span> rightType&gt;
    238. 

  238. <a name="l00139"></a>00139 <span class="keyword">class </span><a class="code" href="classkernel__GammaDGamma.html">kernel_GammaDGamma</a> : <span class="keyword">public</span> <a class="code" href="classkernel.html">kernel</a>&lt;retType&gt;
    239. 

  239. <a name="l00140"></a>00140 {
    240. 

  240. <a name="l00141"></a>00141         <span class="keyword">private</span>:
    241. 

  241. <a name="l00142"></a>00142 
    242. 

  242. <a name="l00143"></a>00143                 <a class="code" href="classkernel.html">kernel&lt;leftType&gt;</a>&amp; gammaLeft;
    243. 

  243. <a name="l00144"></a>00144                 <a class="code" href="classkernel.html">kernel&lt;rightType&gt;</a>&amp; gammaRight;
    244. 

  244. <a name="l00145"></a>00145 
    245. 

  245. <a name="l00146"></a>00146         <span class="keyword">public</span>:
    246. 

  246. <a name="l00147"></a>00147 
    247. 

  247. <a name="l00148"></a><a class="code" href="classkernel__GammaDGamma.html#a763203063d61b2c4d63e4c1f74aae14a">00148</a>                 <a class="code" href="classkernel__GammaDGamma.html">kernel_GammaDGamma</a>(<a class="code" href="classkernel.html">kernel&lt;leftType&gt;</a>&amp; gammaLeft_in,<a class="code" href="classkernel.html">kernel&lt;rightType&gt;</a>&amp; gammaRight_in) : gammaLeft(gammaLeft_in) , gammaRight(gammaRight_in)
    248. 

  248. <a name="l00149"></a>00149                 {}
    249. 

  249. <a name="l00150"></a>00150 
    250. 

  250. <a name="l00151"></a><a class="code" href="classkernel__GammaDGamma.html#af8564e982dc5577c89456e7ad1bf2a91">00151</a>                 ~<a class="code" href="classkernel__GammaDGamma.html">kernel_GammaDGamma</a>()
    251. 

  251. <a name="l00152"></a>00152                 {}
    252. 

  252. <a name="l00153"></a>00153 
    253. 

  253. <a name="l00154"></a><a class="code" href="classkernel__GammaDGamma.html#a2eb35f3ff8b3aa0670529254f371d7c3">00154</a>                 retType value(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y,<span class="keywordtype">double</span> N0,<span class="keywordtype">double</span> N1,<span class="keywordtype">double</span> N2,<span class="keywordtype">double</span> N3,<span class="keywordtype">double</span> d0_dx,<span class="keywordtype">double</span> d0_dy,<span class="keywordtype">double</span> d1_dx,<span class="keywordtype">double</span> d1_dy,<span class="keywordtype">double</span> d2_dx,<span class="keywordtype">double</span> d2_dy,<span class="keywordtype">double</span> d3_dx,<span class="keywordtype">double</span> d3_dy)
    254. 

  254. <a name="l00155"></a>00155                 {
    255. 

  255. <a name="l00156"></a>00156                         <span class="keywordtype">double</span> crvScl=sqrt(1.0-x*<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(2)+y*<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1));
    256. 

  256. <a name="l00157"></a>00157 
    257. 

  257. <a name="l00158"></a>00158                         <span class="keywordflow">return</span> ((gammaLeft.value(x, y,N0,N1,N2,N3,d0_dx,d0_dy,d1_dx,d1_dy,d2_dx,d2_dy,d3_dx,d3_dy)).<a class="code" href="rotationMath_8cpp.html#a77ad922cc714adc5ebf10e36b2dd58f8">T</a>())*<a class="code" href="timoshenko_8cpp.html#a856a5186f7bb53afe9807af3e350a3fc">permutation</a>.<a class="code" href="classmatrixRdWtSzSqr__Data.html#a0aaafd5034f44c778cd2a793c992e5e9">T</a>()*<a class="code" href="timoshenko_8cpp.html#a488a005f6c18cfe6a45f0dab98134def">material</a>*<a class="code" href="timoshenko_8cpp.html#a856a5186f7bb53afe9807af3e350a3fc">permutation</a>*(gammaRight.value(x, y,N0,N1,N2,N3,d0_dx,d0_dy,d1_dx,d1_dy,d2_dx,d2_dy,d3_dx,d3_dy))*crvScl;
    258. 

  258. <a name="l00159"></a>00159                 }
    259. 

  259. <a name="l00160"></a>00160 };
    260. 

  260. <a name="l00161"></a>00161 
    261. 

  261. <a name="l00162"></a>00162 <span class="keyword">class </span><a class="code" href="classkernel__Gamma__a.html">kernel_Gamma_a</a> : <span class="keyword">public</span> <a class="code" href="classkernel.html">kernel</a>&lt;type_matrix&gt;
    262. 

  262. <a name="l00163"></a>00163 {
    263. 

  263. <a name="l00164"></a>00164         <span class="keyword">public</span>:
    264. 

  264. <a name="l00165"></a>00165 
    265. 

  265. <a name="l00166"></a><a class="code" href="classkernel__Gamma__a.html#a49e3a0ae0cbe3722c0e69f650f90ad67">00166</a>                 <a class="code" href="classkernel__Gamma__a.html">kernel_Gamma_a</a>()
    266. 

  266. <a name="l00167"></a>00167                 {}
    267. 

  267. <a name="l00168"></a>00168 
    268. 

  268. <a name="l00169"></a><a class="code" href="classkernel__Gamma__a.html#adee9d9dcd13838b557ae2f6634cae2a1">00169</a>                 ~<a class="code" href="classkernel__Gamma__a.html">kernel_Gamma_a</a>()
    269. 

  269. <a name="l00170"></a>00170                 {}
    270. 

  270. <a name="l00171"></a>00171 
    271. 

  271. <a name="l00172"></a><a class="code" href="classkernel__Gamma__a.html#a4671aa915ad0bab8e1d5a4725dbaf284">00172</a>                 <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> value(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y,<span class="keywordtype">double</span> N0,<span class="keywordtype">double</span> N1,<span class="keywordtype">double</span> N2,<span class="keywordtype">double</span> N3,<span class="keywordtype">double</span> d0_dx,<span class="keywordtype">double</span> d0_dy,<span class="keywordtype">double</span> d1_dx,<span class="keywordtype">double</span> d1_dy,<span class="keywordtype">double</span> d2_dx,<span class="keywordtype">double</span> d2_dy,<span class="keywordtype">double</span> d3_dx,<span class="keywordtype">double</span> d3_dy)
    272. 

  272. <a name="l00173"></a>00173                 {
    273. 

  273. <a name="l00174"></a>00174                         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> retVal(6,12);
    274. 

  274. <a name="l00175"></a>00175 
    275. 

  275. <a name="l00176"></a>00176                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;6;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    276. 

  276. <a name="l00177"></a>00177                         {
    277. 

  277. <a name="l00178"></a>00178                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;12;j++)
    278. 

  278. <a name="l00179"></a>00179                                 {
    279. 

  279. <a name="l00180"></a>00180                                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    280. 

  280. <a name="l00181"></a>00181                                 }
    281. 

  281. <a name="l00182"></a>00182                         }
    282. 

  282. <a name="l00183"></a>00183 
    283. 

  283. <a name="l00184"></a>00184                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,0)=d0_dx;
    284. 

  284. <a name="l00185"></a>00185                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,0)=d0_dy;
    285. 

  285. <a name="l00186"></a>00186                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(3,1)=d0_dx;
    286. 

  286. <a name="l00187"></a>00187                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(4,1)=d0_dy;
    287. 

  287. <a name="l00188"></a>00188                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(4,2)=d0_dx;
    288. 

  288. <a name="l00189"></a>00189                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(5,2)=d0_dy;
    289. 

  289. <a name="l00190"></a>00190 
    290. 

  290. <a name="l00191"></a>00191                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,3)=d1_dx;
    291. 

  291. <a name="l00192"></a>00192                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,3)=d1_dy;
    292. 

  292. <a name="l00193"></a>00193                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(3,4)=d1_dx;
    293. 

  293. <a name="l00194"></a>00194                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(4,4)=d1_dy;
    294. 

  294. <a name="l00195"></a>00195                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(4,5)=d1_dx;
    295. 

  295. <a name="l00196"></a>00196                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(5,5)=d1_dy;
    296. 

  296. <a name="l00197"></a>00197 
    297. 

  297. <a name="l00198"></a>00198                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,6)=d2_dx;
    298. 

  298. <a name="l00199"></a>00199                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,6)=d2_dy;
    299. 

  299. <a name="l00200"></a>00200                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(3,7)=d2_dx;
    300. 

  300. <a name="l00201"></a>00201                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(4,7)=d2_dy;
    301. 

  301. <a name="l00202"></a>00202                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(4,8)=d2_dx;
    302. 

  302. <a name="l00203"></a>00203                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(5,8)=d2_dy;
    303. 

  303. <a name="l00204"></a>00204 
    304. 

  304. <a name="l00205"></a>00205                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(1,9)=d3_dx;
    305. 

  305. <a name="l00206"></a>00206                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(2,9)=d3_dy;
    306. 

  306. <a name="l00207"></a>00207                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(3,10)=d3_dx;
    307. 

  307. <a name="l00208"></a>00208                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(4,10)=d3_dy;
    308. 

  308. <a name="l00209"></a>00209                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(4,11)=d3_dx;
    309. 

  309. <a name="l00210"></a>00210                         retVal.<a class="code" href="classmatrixRdWt.html#a85aaa63333c688527b5e62dbce69cb61">entry</a>(5,11)=d3_dy;
    310. 

  310. <a name="l00211"></a>00211 
    311. 

  311. <a name="l00212"></a>00212 <span class="keyword">static</span> list&lt;double&gt; xList;
    312. 

  312. <a name="l00213"></a>00213 <span class="keyword">static</span> list&lt;double&gt; yList;
    313. 

  313. <a name="l00214"></a>00214 <span class="keywordtype">bool</span> isFnd=<span class="keyword">false</span>;
    314. 

  314. <a name="l00215"></a>00215 list&lt;double&gt;::iterator itY=yList.begin();
    315. 

  315. <a name="l00216"></a>00216 <span class="keywordflow">for</span>(list&lt;double&gt;::iterator itX=xList.begin();itX!=xList.end();itX++)
    316. 

  316. <a name="l00217"></a>00217 {
    317. 

  317. <a name="l00218"></a>00218         <span class="keywordflow">if</span>( (*itX)==x &amp;&amp; (*itY)==y )
    318. 

  318. <a name="l00219"></a>00219         {
    319. 

  319. <a name="l00220"></a>00220                 isFnd=<span class="keyword">true</span>;
    320. 

  320. <a name="l00221"></a>00221                 <span class="keywordflow">break</span>;
    321. 

  321. <a name="l00222"></a>00222         }
    322. 

  322. <a name="l00223"></a>00223         itY++;
    323. 

  323. <a name="l00224"></a>00224 }
    324. 

  324. <a name="l00225"></a>00225 <span class="keywordflow">if</span>(!isFnd)
    325. 

  325. <a name="l00226"></a>00226 {
    326. 

  326. <a name="l00227"></a>00227         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Gamma_a at x=&quot;</span> &lt;&lt; x &lt;&lt; <span class="stringliteral">&quot; and y=&quot;</span> &lt;&lt; y &lt;&lt; endl;
    327. 

  327. <a name="l00228"></a>00228         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(retVal);
    328. 

  328. <a name="l00229"></a>00229         xList.push_back(x);
    329. 

  329. <a name="l00230"></a>00230         yList.push_back(y);
    330. 

  330. <a name="l00231"></a>00231 }
    331. 

  331. <a name="l00232"></a>00232 
    332. 

  332. <a name="l00233"></a>00233                         <span class="keywordflow">return</span> retVal;
    333. 

  333. <a name="l00234"></a>00234                 }
    334. 

  334. <a name="l00235"></a>00235 };
    335. 

  335. <a name="l00236"></a>00236 
    336. 

  336. <a name="l00237"></a>00237 <span class="keyword">class </span><a class="code" href="classkernel__Gamma__e.html">kernel_Gamma_e</a> : <span class="keyword">public</span> <a class="code" href="classkernel.html">kernel</a>&lt;type_matrix&gt;
    337. 

  337. <a name="l00238"></a>00238 {
    338. 

  338. <a name="l00239"></a>00239         <span class="keyword">public</span>:
    339. 

  339. <a name="l00240"></a>00240 
    340. 

  340. <a name="l00241"></a><a class="code" href="classkernel__Gamma__e.html#a032a1a24ec1b5b1d283d1b6fb785b3a9">00241</a>                 <a class="code" href="classkernel__Gamma__e.html">kernel_Gamma_e</a>()
    341. 

  341. <a name="l00242"></a>00242                 {}
    342. 

  342. <a name="l00243"></a>00243 
    343. 

  343. <a name="l00244"></a><a class="code" href="classkernel__Gamma__e.html#aea5a494f4b519b9337bfe5b0d4ea6bc4">00244</a>                 ~<a class="code" href="classkernel__Gamma__e.html">kernel_Gamma_e</a>()
    344. 

  344. <a name="l00245"></a>00245                 {}
    345. 

  345. <a name="l00246"></a>00246 
    346. 

  346. <a name="l00247"></a><a class="code" href="classkernel__Gamma__e.html#acd486b90b112472ab22aac52ea58e0ee">00247</a>                 <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> value(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y,<span class="keywordtype">double</span> N0,<span class="keywordtype">double</span> N1,<span class="keywordtype">double</span> N2,<span class="keywordtype">double</span> N3,<span class="keywordtype">double</span> d0_dx,<span class="keywordtype">double</span> d0_dy,<span class="keywordtype">double</span> d1_dx,<span class="keywordtype">double</span> d1_dy,<span class="keywordtype">double</span> d2_dx,<span class="keywordtype">double</span> d2_dy,<span class="keywordtype">double</span> d3_dx,<span class="keywordtype">double</span> d3_dy)
    347. 

  347. <a name="l00248"></a>00248                 {
    348. 

  348. <a name="l00249"></a>00249                         <span class="keywordtype">double</span> crvScl=1.0/sqrt(1.0-x*<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(2)+y*<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1));
    349. 

  349. <a name="l00250"></a>00250 
    350. 

  350. <a name="l00251"></a>00251                         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> retVal(6,4);
    351. 

  351. <a name="l00252"></a>00252 
    352. 

  352. <a name="l00253"></a>00253                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;6;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    353. 

  353. <a name="l00254"></a>00254                         {
    354. 

  354. <a name="l00255"></a>00255                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;4;j++)
    355. 

  355. <a name="l00256"></a>00256                                 {
    356. 

  356. <a name="l00257"></a>00257                                         retVal.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    357. 

  357. <a name="l00258"></a>00258                                 }
    358. 

  358. <a name="l00259"></a>00259                         }
    359. 

  359. <a name="l00260"></a>00260 
    360. 

  360. <a name="l00261"></a>00261                         retVal.entry(0,0)=crvScl;
    361. 

  361. <a name="l00262"></a>00262                         retVal.entry(0,2)=y*crvScl;
    362. 

  362. <a name="l00263"></a>00263                         retVal.entry(0,3)=-x*crvScl;
    363. 

  363. <a name="l00264"></a>00264                         retVal.entry(1,1)=-y*crvScl;
    364. 

  364. <a name="l00265"></a>00265                         retVal.entry(2,1)=x*crvScl;
    365. 

  365. <a name="l00266"></a>00266 
    366. 

  366. <a name="l00267"></a>00267 <span class="keyword">static</span> list&lt;double&gt; xList;
    367. 

  367. <a name="l00268"></a>00268 <span class="keyword">static</span> list&lt;double&gt; yList;
    368. 

  368. <a name="l00269"></a>00269 <span class="keywordtype">bool</span> isFnd=<span class="keyword">false</span>;
    369. 

  369. <a name="l00270"></a>00270 list&lt;double&gt;::iterator itY=yList.begin();
    370. 

  370. <a name="l00271"></a>00271 <span class="keywordflow">for</span>(list&lt;double&gt;::iterator itX=xList.begin();itX!=xList.end();itX++)
    371. 

  371. <a name="l00272"></a>00272 {
    372. 

  372. <a name="l00273"></a>00273         <span class="keywordflow">if</span>( (*itX)==x &amp;&amp; (*itY)==y )
    373. 

  373. <a name="l00274"></a>00274         {
    374. 

  374. <a name="l00275"></a>00275                 isFnd=<span class="keyword">true</span>;
    375. 

  375. <a name="l00276"></a>00276                 <span class="keywordflow">break</span>;
    376. 

  376. <a name="l00277"></a>00277         }
    377. 

  377. <a name="l00278"></a>00278         itY++;
    378. 

  378. <a name="l00279"></a>00279 }
    379. 

  379. <a name="l00280"></a>00280 <span class="keywordflow">if</span>(!isFnd)
    380. 

  380. <a name="l00281"></a>00281 {
    381. 

  381. <a name="l00282"></a>00282         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Gamma_e at x=&quot;</span> &lt;&lt; x &lt;&lt; <span class="stringliteral">&quot; and y=&quot;</span> &lt;&lt; y &lt;&lt; endl;
    382. 

  382. <a name="l00283"></a>00283         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(retVal);
    383. 

  383. <a name="l00284"></a>00284         xList.push_back(x);
    384. 

  384. <a name="l00285"></a>00285         yList.push_back(y);
    385. 

  385. <a name="l00286"></a>00286 }
    386. 

  386. <a name="l00287"></a>00287 
    387. 

  387. <a name="l00288"></a>00288                         <span class="keywordflow">return</span> retVal;
    388. 

  388. <a name="l00289"></a>00289                 }
    389. 

  389. <a name="l00290"></a>00290 };
    390. 

  390. <a name="l00291"></a>00291 
    391. 

  391. <a name="l00292"></a>00292 <span class="keyword">class </span><a class="code" href="classkernel__Gamma__R.html">kernel_Gamma_R</a> : <span class="keyword">public</span> <a class="code" href="classkernel.html">kernel</a>&lt;type_matrix&gt;
    392. 

  392. <a name="l00293"></a>00293 {
    393. 

  393. <a name="l00294"></a>00294         <span class="keyword">public</span>:
    394. 

  394. <a name="l00295"></a>00295 
    395. 

  395. <a name="l00296"></a><a class="code" href="classkernel__Gamma__R.html#a1ea0a2fa74e896a5b44114d4ecef4479">00296</a>                 <a class="code" href="classkernel__Gamma__R.html">kernel_Gamma_R</a>()
    396. 

  396. <a name="l00297"></a>00297                 {}
    397. 

  397. <a name="l00298"></a>00298 
    398. 

  398. <a name="l00299"></a><a class="code" href="classkernel__Gamma__R.html#aa33da423c6b89875fa73d0a42bd15eef">00299</a>                 ~<a class="code" href="classkernel__Gamma__R.html">kernel_Gamma_R</a>()
    399. 

  399. <a name="l00300"></a>00300                 {}
    400. 

  400. <a name="l00301"></a>00301 
    401. 

  401. <a name="l00302"></a><a class="code" href="classkernel__Gamma__R.html#ac87319b5a458f93e9a31a6cd22b86384">00302</a>                 <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> value(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y,<span class="keywordtype">double</span> N0,<span class="keywordtype">double</span> N1,<span class="keywordtype">double</span> N2,<span class="keywordtype">double</span> N3,<span class="keywordtype">double</span> d0_dx,<span class="keywordtype">double</span> d0_dy,<span class="keywordtype">double</span> d1_dx,<span class="keywordtype">double</span> d1_dy,<span class="keywordtype">double</span> d2_dx,<span class="keywordtype">double</span> d2_dy,<span class="keywordtype">double</span> d3_dx,<span class="keywordtype">double</span> d3_dy)
    402. 

  402. <a name="l00303"></a>00303                 {
    403. 

  403. <a name="l00304"></a>00304                         <span class="keywordtype">double</span> crvScl=1.0/sqrt(1.0-x*<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(2)+y*<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1));
    404. 

  404. <a name="l00305"></a>00305 
    405. 

  405. <a name="l00306"></a>00306                         <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> retVal(6,12);
    406. 

  406. <a name="l00307"></a>00307 
    407. 

  407. <a name="l00308"></a>00308                         <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>=0;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>&lt;6;<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>++)
    408. 

  408. <a name="l00309"></a>00309                         {
    409. 

  409. <a name="l00310"></a>00310                                 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> j=0;j&lt;12;j++)
    410. 

  410. <a name="l00311"></a>00311                                 {
    411. 

  411. <a name="l00312"></a>00312                                         retVal.entry(<a class="code" href="namespaceCPPL.html#aca67a31b860a54cc09b2519953aa2b39">i</a>,j)=0.0;
    412. 

  412. <a name="l00313"></a>00313                                 }
    413. 

  413. <a name="l00314"></a>00314                         }
    414. 

  414. <a name="l00315"></a>00315 
    415. 

  415. <a name="l00316"></a>00316                         <span class="keywordtype">double</span> k1=<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(0);
    416. 

  416. <a name="l00317"></a>00317                         <span class="keywordtype">double</span> k2=<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(1);
    417. 

  417. <a name="l00318"></a>00318                         <span class="keywordtype">double</span> k3=<a class="code" href="timoshenko_8cpp.html#a1e776dd3343771810a67266093bf6123">curvature</a>.<a class="code" href="classmatrixRdWtVect.html#ab6754006e5bfc55c5a3ade09cb9f5a65">entry</a>(2);
    418. 

  418. <a name="l00319"></a>00319                         <span class="keywordtype">double</span> diag;
    419. 

  419. <a name="l00320"></a>00320 
    420. 

  420. <a name="l00321"></a>00321                         diag=k1*(y*d0_dx-x*d0_dy);
    421. 

  421. <a name="l00322"></a>00322                         retVal.entry(0,0)=(diag)*crvScl;
    422. 

  422. <a name="l00323"></a>00323                         retVal.entry(0,1)=(-k3)*crvScl*N0;
    423. 

  423. <a name="l00324"></a>00324                         retVal.entry(0,2)=(k2)*crvScl*N0;
    424. 

  424. <a name="l00325"></a>00325                         retVal.entry(1,0)=(k3)*crvScl*N0;
    425. 

  425. <a name="l00326"></a>00326                         retVal.entry(1,1)=(diag)*crvScl;
    426. 

  426. <a name="l00327"></a>00327                         retVal.entry(1,2)=(-k1)*crvScl*N0;
    427. 

  427. <a name="l00328"></a>00328                         retVal.entry(2,0)=(-k2)*crvScl*N0;
    428. 

  428. <a name="l00329"></a>00329                         retVal.entry(2,1)=(k1)*crvScl*N0;
    429. 

  429. <a name="l00330"></a>00330                         retVal.entry(2,2)=(diag)*crvScl;
    430. 

  430. <a name="l00331"></a>00331 
    431. 

  431. <a name="l00332"></a>00332                         diag=k1*(y*d1_dx-x*d1_dy);
    432. 

  432. <a name="l00333"></a>00333                         retVal.entry(0,3)=(diag)*crvScl;
    433. 

  433. <a name="l00334"></a>00334                         retVal.entry(0,4)=(-k3)*crvScl*N1;
    434. 

  434. <a name="l00335"></a>00335                         retVal.entry(0,5)=(k2)*crvScl*N1;
    435. 

  435. <a name="l00336"></a>00336                         retVal.entry(1,3)=(k3)*crvScl*N1;
    436. 

  436. <a name="l00337"></a>00337                         retVal.entry(1,4)=(diag)*crvScl;
    437. 

  437. <a name="l00338"></a>00338                         retVal.entry(1,5)=(-k1)*crvScl*N1;
    438. 

  438. <a name="l00339"></a>00339                         retVal.entry(2,3)=(-k2)*crvScl*N1;
    439. 

  439. <a name="l00340"></a>00340                         retVal.entry(2,4)=(k1)*crvScl*N1;
    440. 

  440. <a name="l00341"></a>00341                         retVal.entry(2,5)=(diag)*crvScl;
    441. 

  441. <a name="l00342"></a>00342 
    442. 

  442. <a name="l00343"></a>00343                         diag=k1*(y*d2_dx-x*d2_dy);
    443. 

  443. <a name="l00344"></a>00344                         retVal.entry(0,6)=(diag)*crvScl;
    444. 

  444. <a name="l00345"></a>00345                         retVal.entry(0,7)=(-k3)*crvScl*N2;
    445. 

  445. <a name="l00346"></a>00346                         retVal.entry(0,8)=(k2)*crvScl*N2;
    446. 

  446. <a name="l00347"></a>00347                         retVal.entry(1,6)=(k3)*crvScl*N2;
    447. 

  447. <a name="l00348"></a>00348                         retVal.entry(1,7)=(diag)*crvScl;
    448. 

  448. <a name="l00349"></a>00349                         retVal.entry(1,8)=(-k1)*crvScl*N2;
    449. 

  449. <a name="l00350"></a>00350                         retVal.entry(2,6)=(-k2)*crvScl*N2;
    450. 

  450. <a name="l00351"></a>00351                         retVal.entry(2,7)=(k1)*crvScl*N2;
    451. 

  451. <a name="l00352"></a>00352                         retVal.entry(2,8)=(diag)*crvScl;
    452. 

  452. <a name="l00353"></a>00353 
    453. 

  453. <a name="l00354"></a>00354                         diag=k1*(y*d3_dx-x*d3_dy);
    454. 

  454. <a name="l00355"></a>00355                         retVal.entry(0,9)=(diag)*crvScl;
    455. 

  455. <a name="l00356"></a>00356                         retVal.entry(0,10)=(-k3)*crvScl*N3;
    456. 

  456. <a name="l00357"></a>00357                         retVal.entry(0,11)=(k2)*crvScl*N3;
    457. 

  457. <a name="l00358"></a>00358                         retVal.entry(1,9)=(k3)*crvScl*N3;
    458. 

  458. <a name="l00359"></a>00359                         retVal.entry(1,10)=(diag)*crvScl;
    459. 

  459. <a name="l00360"></a>00360                         retVal.entry(1,11)=(-k1)*crvScl*N3;
    460. 

  460. <a name="l00361"></a>00361                         retVal.entry(2,9)=(-k2)*crvScl*N3;
    461. 

  461. <a name="l00362"></a>00362                         retVal.entry(2,10)=(k1)*crvScl*N3;
    462. 

  462. <a name="l00363"></a>00363                         retVal.entry(2,11)=(diag)*crvScl;
    463. 

  463. <a name="l00364"></a>00364 
    464. 

  464. <a name="l00365"></a>00365 <span class="keyword">static</span> list&lt;double&gt; xList;
    465. 

  465. <a name="l00366"></a>00366 <span class="keyword">static</span> list&lt;double&gt; yList;
    466. 

  466. <a name="l00367"></a>00367 <span class="keywordtype">bool</span> isFnd=<span class="keyword">false</span>;
    467. 

  467. <a name="l00368"></a>00368 list&lt;double&gt;::iterator itY=yList.begin();
    468. 

  468. <a name="l00369"></a>00369 <span class="keywordflow">for</span>(list&lt;double&gt;::iterator itX=xList.begin();itX!=xList.end();itX++)
    469. 

  469. <a name="l00370"></a>00370 {
    470. 

  470. <a name="l00371"></a>00371         <span class="keywordflow">if</span>( (*itX)==x &amp;&amp; (*itY)==y )
    471. 

  471. <a name="l00372"></a>00372         {
    472. 

  472. <a name="l00373"></a>00373                 isFnd=<span class="keyword">true</span>;
    473. 

  473. <a name="l00374"></a>00374                 <span class="keywordflow">break</span>;
    474. 

  474. <a name="l00375"></a>00375         }
    475. 

  475. <a name="l00376"></a>00376         itY++;
    476. 

  476. <a name="l00377"></a>00377 }
    477. 

  477. <a name="l00378"></a>00378 <span class="keywordflow">if</span>(!isFnd)
    478. 

  478. <a name="l00379"></a>00379 {
    479. 

  479. <a name="l00380"></a>00380         cout &lt;&lt; endl &lt;&lt; <span class="stringliteral">&quot;The Gamma_R at x=&quot;</span> &lt;&lt; x &lt;&lt; <span class="stringliteral">&quot; and y=&quot;</span> &lt;&lt; y &lt;&lt; endl;
    480. 

  480. <a name="l00381"></a>00381         <a class="code" href="timoshenko_8cpp.html#a54d7ca7a16425ee21626a59d0ce01d16">printMatrix</a>(retVal);
    481. 

  481. <a name="l00382"></a>00382         xList.push_back(x);
    482. 

  482. <a name="l00383"></a>00383         yList.push_back(y);
    483. 

  483. <a name="l00384"></a>00384 }
    484. 

  484. <a name="l00385"></a>00385 
    485. 

  485. <a name="l00386"></a>00386                         <span class="keywordflow">return</span> retVal;
    486. 

  486. <a name="l00387"></a>00387                 }
    487. 

  487. <a name="l00388"></a>00388 };
    488. 

  488. <a name="l00389"></a>00389 
    489. 

  489. <a name="l00390"></a>00390 <span class="keyword">class </span><a class="code" href="classkernel__Gamma__l.html">kernel_Gamma_l</a> : <span class="keyword">public</span> <a class="code" href="classkernel.html">kernel</a>&lt;type_matrix&gt;
    490. 

  490. <a name="l00391"></a>00391 {
    491. 

  491. <a name="l00392"></a>00392         <span class="keyword">public</span>:
    492. 

  492. <a name="l00393"></a>00393 
    493. 

  493. <a name="l00394"></a><a class="code" href="classkernel__Gamma__l.html#ace8a7f2eec4459c2ca82c2e7fdef52d6">00394</a>                 <a class="code" href="classkernel__Gamma__l.html">kernel_Gamma_l</a>()
    494. 

  494. <a name="l00395"></a>00395                 {}
    495. 

  495. <a name="l00396"></a>00396 
    496. 

  496. <a name="l00397"></a><a class="code" href="classkernel__Gamma__l.html#ac511c53641238dfb8bbbd6bf59d0734e">00397</a>                 ~<a class="code" href="classkernel__Gamma__l.html">kernel_Gamma_l</a>()
    497. 

  497. <a name="l00398"></a>00398                 {}
    498. 

  498. <a name="l00399"></a>00399 
    499. 

  499. <a name="l00400"></a><a class="code" href="classkernel__Gamma__l.html#a940739310670c9db333b3279baef50a9">00400</a>                 <a class="code" href="classmatrixRdWtSz__Data.html">type_matrix</a> value(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y,<span class="keywordtype">double</span> N0,<span class="keywordtype">double</span> N1,<span class="keywordtype">double</span> N2,<span class="keywordtype">double</span> N3,<span class="keywordtype">double</span> d0_dx,<span class="keywordtype">double</span> d0_dy,<span class="keywordtype">double</span> d1_dx,<span class="keywordtype">double</span> d1_dy,<span class="keywordtype">double</span> d2_dx,<span class="keywordtype">double</span> d2_dy,<span class="keywordtype">double</span> d3_dx,<span class="keywordtype">double</span> d3_dy)
    500. 

  500. <a name="l00401"></a>00401                 {
    501. 

  501. <a name="l…
    502.

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