Simplified algebraic method for computing eigenpair sensitivities of damped systems

Hongki Jo, Sun Kyu Park, In Won Lee

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

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)×(n +1) , where n is the number of degree of freedom. The method is an improvement of recent work by I. W. Lee 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.

Original languageEnglish (US)
Title of host publicationEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
StatePublished - 2000
Externally publishedYes
EventEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000 - Barcelona, Spain
Duration: Sep 11 2000Sep 14 2000

Other

OtherEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
CountrySpain
CityBarcelona
Period9/11/009/14/00

Fingerprint

Algebraic Methods
Damped
Derivatives
Computing
Derivative
Algebraic Equation
Eigenvalue
Eigenvalues and eigenfunctions
Eigenvector
Degree of freedom
Distinct
Coefficient

Keywords

  • Design parameter
  • Eigenpair derivatives
  • Eigenvalue problem
  • Sensitivity analysis

ASJC Scopus subject areas

  • Artificial Intelligence
  • Applied Mathematics

Cite this

Jo, H., Park, S. K., & Lee, I. W. (2000). Simplified algebraic method for computing eigenpair sensitivities of damped systems. In European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000

Simplified algebraic method for computing eigenpair sensitivities of damped systems. / Jo, Hongki; Park, Sun Kyu; Lee, In Won.

European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000. 2000.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Jo, H, Park, SK & Lee, IW 2000, Simplified algebraic method for computing eigenpair sensitivities of damped systems. in European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000. European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000, Barcelona, Spain, 9/11/00.
Jo H, Park SK, Lee IW. Simplified algebraic method for computing eigenpair sensitivities of damped systems. In European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000. 2000
Jo, Hongki ; Park, Sun Kyu ; Lee, In Won. / Simplified algebraic method for computing eigenpair sensitivities of damped systems. European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000. 2000.
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AB - 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)×(n +1) , where n is the number of degree of freedom. The method is an improvement of recent work by I. W. Lee 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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