(************** Content-type: application/mathematica ************** CreatedBy='%s' Mathematica-Compatible NotebookThis notebook can be used with any Mathematica-compatibleapplication, such as Mathematica, MathReader or Publicon. The datafor the notebook starts with the line containing stars above.To get the notebook into a Mathematica-compatible application, doone of the following:* Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application;* Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application.Data for notebooks contains only printable 7-bit ASCII and can besent directly in email or through ftp in text mode. Newlines can beCR, LF or CRLF (Unix, Macintosh or MS-DOS style).NOTE: If you modify the data for this notebook not in a Mathematica-compatible application, you must delete the line below containingthe word CacheID, otherwise Mathematica-compatible applications maytry to use invalid cache data.For more information on notebooks and Mathematica-compatibleapplications, contact Wolfram Research: web: http://www.wolfram.com email: [email protected] phone: +1-217-398-0700 (U.S.)Notebook reader applications are available free of charge fromWolfram Research.*******************************************************************)(*CacheID: 232*)(*NotebookFileLineBreakTestNotebookFileLineBreakTest*)(*NotebookOptionsPosition[ 3136, 92]*)(*NotebookOutlinePosition[ 4185, 127]*)(* CellTagsIndexPosition[ 4141, 123]*)(*WindowFrame->Normal*)Notebook[{Cell["\<\Module to do static condensation of last freedom of a \superelement\\>", "Text", CellFrame->True, CellMargins->{{14, 55}, {Inherited, Inherited}}, CellLabelMargins->{{10, Inherited}, {Inherited, Inherited}}, ImageRegion->{{-0, 1}, {0, 1}}, Background->RGBColor[1, 1, 0]],Cell["\<\CondenseLastFreedom[K_,f_]:=Module[{pivot,c,Kc,fc, n=Length[K]}, If [n<=1,Return[{K,f}]];\tKc=Table[0,{n-1},{n-1}]; fc=Table[0,{n-1}]; pivot=K[[n,n]]; If [pivot==0, Print[\"CondenseLastFreedom:\", \" Singular Matrix\"]; Return[{K,f}]]; For [i=1,i<=n-1,i++, c=K[[i,n]]/pivot;fc[[i]]=f[[i]]-c*f[[n]]; For [j=1,j<=i,j++, Kc[[j,i]]=Kc[[i,j]]=K[[i,j]]-c*K[[n,j]] ]; ]; Return[Simplify[{Kc,fc}]] ];ClearAll[K,f];K={{6,-2,-1,-3},{ -2,5,-2,-1},{ -1,-2,7,-4},{-3,-1,-4,8}};f={3,6,4,0};Print[\"Before condensation:\",\" K=\",K//MatrixForm,\" f=\",f//MatrixForm];{K,f}=CondenseLastFreedom[K,f];Print[\"Upon condensing DOF 4:\", \" K=\",K//MatrixForm,\" f=\",f//MatrixForm];{K,f}=CondenseLastFreedom[K,f];Print[\"Upon condensing DOF 3:\", \" K=\",K//MatrixForm,\" f=\",f//MatrixForm];\\>", "Input", CellFrame->True, CellMargins->{{14, 55}, {Inherited, Inherited}}, CellLabelMargins->{{10, Inherited}, {Inherited, Inherited}}, ImageRegion->{{-0, 1}, {0, 1}}, Background->RGBColor[0, 1, 0]]},FrontEndVersion->"4.2 for Macintosh",ScreenRectangle->{{0, 1920}, {0, 1180}},WindowToolbars->{},CellGrouping->Manual,WindowSize->{520, 740},WindowMargins->{{1, Automatic}, {Automatic, 1}},PrivateNotebookOptions->{"ColorPalette"->{RGBColor, -1}},ShowCellLabel->True,ShowCellTags->False,RenderingOptions->{"ObjectDithering"->True,"RasterDithering"->False},MacintoshSystemPageSetup->"\<\00<0001804P000000]P2:?oQon82n@960dL5:0?l0080001804P000000]P2:0010000I00000400`<300000BL?00400@0000000000000006P801T1T0000000000000000000000000000000000000000000\>"](*******************************************************************Cached data follows. If you edit this Notebook file directly, notusing Mathematica, you must remove the line containing CacheID atthe top of the file. The cache data will then be recreated whenyou save this file from within Mathematica.*******************************************************************)(*CellTagsOutlineCellTagsIndex->{}*)(*CellTagsIndexCellTagsIndex->{}*)(*NotebookFileOutlineNotebook[{Cell[1743, 53, 292, 8, 70, "Text"],Cell[2038, 63, 1095, 28, 70, "Input"]}]*)(*******************************************************************End of Mathematica Notebook file.*******************************************************************)
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