Journal of vibration and acoustics · 1995 · 76 citations · 15 references
EngineeringCivil EngineeringFinite Element AnalysisStructural AnalysisStructural EngineeringInverse ProblemsInverse Problems In MechanicsModal AnalysisStructural Finite Element AnalysisStructural Response AnalysisTruss AnalysisAnalytical ModelsEigenmode AnalysisFinite Element ModelingInverse Eigenvalue ProblemsModal UpdatingPlane Truss AnalysisStructural Inverse ProblemsTruss Systems
In order to update analytical models of practical engineering structures, inverse eigensensitivity method (IEM) has been developed. Though it has nowadays been widely accepted, the classical inverse eigensensitivity method does have some drawbacks such as the assumption of small error magnitudes and slow speed of convergence due to the fact that the sensitivity coefficients are calculated purely based on modal data of analytical model. In the present paper, an improved inverse eigensensitivity method, which avoids the existing problems of classical inverse eigensensitivity method, has been developed. The improved method employs both analytical and experimental modal data to calculate the required eigensensitivity coefficients which are very close to their true values. The method has been further extended to the case where measured coordinates are incomplete. Practical applicability of the method has been assessed by its application to the updating of the finite element model of a plane truss structure.
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Rates of change of eigenvalues and eigenvectors.
R. L. Fox, M. P. Kapoor · AIAA Journal · 1968 · 1.1K citations
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