Improved Algebraic Method for Computing Eigenpair Sensitivities of Damped System

감쇠 시스템의 고유진동수와 모드의 미분을 구하기 위한 대수적 방법의 개선

  • 조홍기 (한국과학기술원 토목공학과) ;
  • 고만기 (공주대학교 토목공학과) ;
  • 이인원 (한국과학기술원 토목공학과)
  • Published : 2000.06.22

Abstract

This paper presents a very simple procedure for determining the sensitivities of the eigenpairs of damped vibratory system with distinct eigenvalues. The eigenpairs derivatives can be obtained by solving algebraic equation with a symmetric coefficient matrix whose order is (n+1) ${\times}$ (n+1), where n is the number of degree of freedom the mothod is an improvement of recent work by I. W. Lee, D. O. Kim and G. H. Jung; the key idea is that the eigenvalue derivatives and the eigenvector derivatives are obtained at once via only one algebraic equation, instead of using two equations separately as like in Lee and Jung's method. Of course, the method preserves the advantages of Lee and Jung's method.

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