Calculation Method of Non-Linear Stiffness Matrix in Spline Finite Element Method-中国期刊网

摘要 AccordingtotheanalyticalcharacteristicsofcubicBsplinefunction,suchascompactnessanddiscontinuoussmoothness,twomethods,GlobalintegralmethodandAssemblingmethodareproposedtocalculatethenon-linearstiffnessmatrixinthesplinefiniteelementmethod.TheGlobalintegralmethodtransformstheintegraloftheproductofsplinefunctionsintothesumofboundarydataoftheproductbyintegralbyparts.TheAssemblingmethodusesthecompactnesscharacteristicsofthesplinefunction,reducesthen+3orderstiffnessmatrixinunitintervaltothe4ordermatrix,andthenobtainstheglobalmatrixbyassemblingthesmallones.Thetwoproposedmethodsareclearintheoryandeasytoberealizedbycomputerprogram,whichcaneffectivelyimprovetheefficiencyofthealgorithmfornonlinearsplineelementmethod.

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Calculation Method of Non-Linear Stiffness Matrix in Spline Finite Element Method

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Calculation Method of Non-Linear Stiffness Matrix in Spline Finite Element Method

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