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http://dx.doi.org/10.3795/KSME-A.2005.29.11.1527

An Adjoint Variable Method for Eigenproblem Design Sensitivity Analysis of Damped Systems  

Lee, Tae Hee (한양대학교 기계공학부)
Lee, Jin Min (한양대학교 기계설계학과)
Yoo, Jung Hoon (한양대학교 기계설계학과)
Lee, Min Uk (한양대학교 기계설계학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.29, no.11, 2005 , pp. 1527-1533 More about this Journal
Abstract
Three methods for design sensitivity analysis such as finite difference method(FDM), direct differentiation method(DDM) and adjoint variable method(AVM) are well known. FDM and DDM for design sensitivity analysis cost too much when the number of design variables is too large. An AVM is required to compute adjoint variables from the simultaneous linear system equation, the so-called adjoint equation. Because the adjoint equation is independent of the number of design variables, an AVM is efficient for when number of design variables is too large. In this study, AVM has been extended to the eigenproblem of damped systems whose eigenvlaues and eigenvectors are complex numbers. Moreover, this method is implemented into a commercial finite element analysis program by means of the semi-analytical method to show applicability of the developed method into practical structural problems. The proposed_method is compared with FDM and verified its accuracy for analytical and practical cases.
Keywords
Design Sensitivity Analysis; Adjoint Variable Method; Complex Eigenproblem; Damped Systems;
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