HOMOTOPY SOLUTION OF THE INVERSE GENERALIZED EIGENVALUE PROBLEMS IN STRUCTURAL DYNAMICS

(整期优先)网络出版时间:2004-05-15
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Thestructuraldynamicsproblems,suchasstructuraldesign,parameteridentificationandmodelcorrection,areconsideredasakindoftheinversegeneralizedeigenvalueproblemsmathematically.Theinverseeigenvalueproblemsarenonlinear.Ingeneral,theycouldbetransformedintononlinearequationstosolve.Thestructuraldynamicsinverseproblemsweretreatedasquasimultiplicativeinverseeigenalueproblemswhichweresolvedbyhomotopymethodfornonlinearequations.Thismethodhadnorequirementsforinitialvalueessentiallybecauseofthehomotopypathtosolution.Numericalexampleswerepresentedtoillustratethehomotopymethod.