Dynamic condensation approach to the calculation of eigensensitivity

Shun Weng; Ai Zhu Zhu; Hong Ping Zhu; Yong Xia; Ling Mao; Peng Hui Li

doi:10.1016/j.compstruc.2013.10.012

Dynamic condensation approach to the calculation of eigensensitivity

Shun Weng, Ai Zhu Zhu, Hong Ping Zhu, Yong Xia, Ling Mao, Peng Hui Li

Research output: Journal article publication › Journal article › Academic research › peer-review

20 Citations (Scopus)

Abstract

Calculation of the eigensensitivity of a large and complex structural system requires considerable computational resources and is time-consuming. This paper derives the eigenvalue and eigenvector derivatives of a structure based on a dynamic condensation technique. The eigensensitivity of a structure are computed by iteratively updating the derivatives of the condensed system matrices and a transformation matrix. As the condensed model is much smaller than the original full model, the proposed method is quite efficient in the calculation of the eigensensitivity. The accuracy and efficiency of the proposed method are verified by the GARTEUR structure and a cantilever plate.

Original language	English
Pages (from-to)	55-64
Number of pages	10
Journal	Computers and Structures
Volume	132
DOIs	https://doi.org/10.1016/j.compstruc.2013.10.012
Publication status	Published - 1 Feb 2014

Keywords

Dynamic condensation
Eigensensitivity
Eigenvalue derivative
Eigenvector derivative
Large structure

ASJC Scopus subject areas

Civil and Structural Engineering
Modelling and Simulation
General Materials Science
Mechanical Engineering
Computer Science Applications

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10.1016/j.compstruc.2013.10.012

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title = "Dynamic condensation approach to the calculation of eigensensitivity",

abstract = "Calculation of the eigensensitivity of a large and complex structural system requires considerable computational resources and is time-consuming. This paper derives the eigenvalue and eigenvector derivatives of a structure based on a dynamic condensation technique. The eigensensitivity of a structure are computed by iteratively updating the derivatives of the condensed system matrices and a transformation matrix. As the condensed model is much smaller than the original full model, the proposed method is quite efficient in the calculation of the eigensensitivity. The accuracy and efficiency of the proposed method are verified by the GARTEUR structure and a cantilever plate.",

keywords = "Dynamic condensation, Eigensensitivity, Eigenvalue derivative, Eigenvector derivative, Large structure",

author = "Shun Weng and Zhu, {Ai Zhu} and Zhu, {Hong Ping} and Yong Xia and Ling Mao and Li, {Peng Hui}",

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T1 - Dynamic condensation approach to the calculation of eigensensitivity

AU - Weng, Shun

AU - Zhu, Ai Zhu

AU - Zhu, Hong Ping

AU - Xia, Yong

AU - Mao, Ling

AU - Li, Peng Hui

PY - 2014/2/1

Y1 - 2014/2/1

N2 - Calculation of the eigensensitivity of a large and complex structural system requires considerable computational resources and is time-consuming. This paper derives the eigenvalue and eigenvector derivatives of a structure based on a dynamic condensation technique. The eigensensitivity of a structure are computed by iteratively updating the derivatives of the condensed system matrices and a transformation matrix. As the condensed model is much smaller than the original full model, the proposed method is quite efficient in the calculation of the eigensensitivity. The accuracy and efficiency of the proposed method are verified by the GARTEUR structure and a cantilever plate.

AB - Calculation of the eigensensitivity of a large and complex structural system requires considerable computational resources and is time-consuming. This paper derives the eigenvalue and eigenvector derivatives of a structure based on a dynamic condensation technique. The eigensensitivity of a structure are computed by iteratively updating the derivatives of the condensed system matrices and a transformation matrix. As the condensed model is much smaller than the original full model, the proposed method is quite efficient in the calculation of the eigensensitivity. The accuracy and efficiency of the proposed method are verified by the GARTEUR structure and a cantilever plate.

KW - Dynamic condensation

KW - Eigensensitivity

KW - Eigenvalue derivative

KW - Eigenvector derivative

KW - Large structure

UR - http://www.scopus.com/inward/record.url?scp=84890063960&partnerID=8YFLogxK

U2 - 10.1016/j.compstruc.2013.10.012

DO - 10.1016/j.compstruc.2013.10.012

M3 - Journal article

SN - 0045-7949

VL - 132

SP - 55

EP - 64

JO - Computers and Structures

JF - Computers and Structures

ER -

Dynamic condensation approach to the calculation of eigensensitivity

Abstract

Keywords

ASJC Scopus subject areas

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