fsm and cfsm beginnings report may 2009（重要）

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1、BUCKLINGANALYSISOFTHEFINITESTRIPMETHODANDTHEORETICALEXTENSIONOFTHECONSTRAINEDFINITESTRIPMETHODFORGENERALBOUNDARYCONDITIONSResearchReportZhanjieLiJohnsHopkinsUniversity2009TableofContents1Introduction...............................................................

2、............................................12TheFiniteStripAnalysis......................................................................................32.1Degreeoffreedomandshapefunctions..........................................................32.2Elasticsti

3、ffnessmatrix(k)...............................................................................52.3Geometricstiffnessmatrix(kg)........................................................................92.4AssemblyandFiniteStripSolution..............................

4、.................................103ComparisonofFiniteStripandFiniteElementSolutions..................................113.1TheFiniteElementMethod...........................................................................113.2Verificationofplate..................

5、.....................................................................123.3Verificationofthin-walledmembers.............................................................164Half-wavelengthparticipationintermsofhalf-wavenumberp.........................225Extensionof

6、constrainedFiniteStripMethod....................................................285.1Bucklingmodesclassification.......................................................................285.2NotationsandframeworkofconstrainedFSM.....................................

7、.........295.3DerivationoftheRconstraintmatrix............................................................305.3.1DerivationofRGD..................................................................................305.3.1.1Implementationofcriterion#1-Vlasov’shypothe

8、sis....................305.3.1.2Implementationofcriterion#2-Longitudinalwarping..................335.3.1.3AssemblyofRGD...............................................