A substructuring method for calculation of eigenvalue derivatives and eigenvector derivatives

Yong Xia; S. Weng; You Lin Xu

A substructuring method for calculation of eigenvalue derivatives and eigenvector derivatives

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

5 Citations (Scopus)

Abstract

A substructuring method is proposed in the paper to calculate the eigenvalue derivatives and eigenvector derivatives of structures. The advantage of the new technique lies in that only the eigensensitivities of the substructures containing the design parameters of interest are calculated while eigensensitivities of other substructures not. The eigensensitivities of the global structure are assembled by performing some constraints on the eigensensitivities of the substructures at the interface. Consequently this can reduce the computation load significantly especially for model updating in which eigensolutions and eigensensitivities need to be calculated iteratively. Applications to a frame and a practical bridge structure show that the present substructuring approach is more computational efficient than the traditional global method.

Original language	English
Title of host publication	Structural Health Monitoring of Intelligent Infrastructure - Proceedings of the 4th International Conference on Structural Health Monitoring of Intelligent Infrastructure, SHMII 2009
Publication status	Published - 1 Dec 2009
Event	4th International Conference on Structural Health Monitoring of Intelligent Infrastructure, SHMII 2009 - Zurich, Switzerland Duration: 22 Jul 2009 → 24 Jul 2009

Conference

Conference	4th International Conference on Structural Health Monitoring of Intelligent Infrastructure, SHMII 2009
Country/Territory	Switzerland
City	Zurich
Period	22/07/09 → 24/07/09

ASJC Scopus subject areas

Artificial Intelligence
Computer Networks and Communications
Information Systems and Management
Civil and Structural Engineering
Building and Construction

Cite this

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title = "A substructuring method for calculation of eigenvalue derivatives and eigenvector derivatives",

abstract = "A substructuring method is proposed in the paper to calculate the eigenvalue derivatives and eigenvector derivatives of structures. The advantage of the new technique lies in that only the eigensensitivities of the substructures containing the design parameters of interest are calculated while eigensensitivities of other substructures not. The eigensensitivities of the global structure are assembled by performing some constraints on the eigensensitivities of the substructures at the interface. Consequently this can reduce the computation load significantly especially for model updating in which eigensolutions and eigensensitivities need to be calculated iteratively. Applications to a frame and a practical bridge structure show that the present substructuring approach is more computational efficient than the traditional global method.",

author = "Yong Xia and S. Weng and Xu, {You Lin}",

year = "2009",

month = dec,

day = "1",

language = "English",

isbn = "9783905594522",

booktitle = "Structural Health Monitoring of Intelligent Infrastructure - Proceedings of the 4th International Conference on Structural Health Monitoring of Intelligent Infrastructure, SHMII 2009",

note = "4th International Conference on Structural Health Monitoring of Intelligent Infrastructure, SHMII 2009 ; Conference date: 22-07-2009 Through 24-07-2009",

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Xia, Y, Weng, S & Xu, YL 2009, A substructuring method for calculation of eigenvalue derivatives and eigenvector derivatives. in Structural Health Monitoring of Intelligent Infrastructure - Proceedings of the 4th International Conference on Structural Health Monitoring of Intelligent Infrastructure, SHMII 2009. 4th International Conference on Structural Health Monitoring of Intelligent Infrastructure, SHMII 2009, Zurich, Switzerland, 22/07/09.

A substructuring method for calculation of eigenvalue derivatives and eigenvector derivatives. / Xia, Yong; Weng, S.; Xu, You Lin.
Structural Health Monitoring of Intelligent Infrastructure - Proceedings of the 4th International Conference on Structural Health Monitoring of Intelligent Infrastructure, SHMII 2009. 2009.

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

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T1 - A substructuring method for calculation of eigenvalue derivatives and eigenvector derivatives

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AU - Weng, S.

AU - Xu, You Lin

PY - 2009/12/1

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N2 - A substructuring method is proposed in the paper to calculate the eigenvalue derivatives and eigenvector derivatives of structures. The advantage of the new technique lies in that only the eigensensitivities of the substructures containing the design parameters of interest are calculated while eigensensitivities of other substructures not. The eigensensitivities of the global structure are assembled by performing some constraints on the eigensensitivities of the substructures at the interface. Consequently this can reduce the computation load significantly especially for model updating in which eigensolutions and eigensensitivities need to be calculated iteratively. Applications to a frame and a practical bridge structure show that the present substructuring approach is more computational efficient than the traditional global method.

AB - A substructuring method is proposed in the paper to calculate the eigenvalue derivatives and eigenvector derivatives of structures. The advantage of the new technique lies in that only the eigensensitivities of the substructures containing the design parameters of interest are calculated while eigensensitivities of other substructures not. The eigensensitivities of the global structure are assembled by performing some constraints on the eigensensitivities of the substructures at the interface. Consequently this can reduce the computation load significantly especially for model updating in which eigensolutions and eigensensitivities need to be calculated iteratively. Applications to a frame and a practical bridge structure show that the present substructuring approach is more computational efficient than the traditional global method.

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M3 - Conference article published in proceeding or book

SN - 9783905594522

BT - Structural Health Monitoring of Intelligent Infrastructure - Proceedings of the 4th International Conference on Structural Health Monitoring of Intelligent Infrastructure, SHMII 2009

T2 - 4th International Conference on Structural Health Monitoring of Intelligent Infrastructure, SHMII 2009

Y2 - 22 July 2009 through 24 July 2009

ER -

A substructuring method for calculation of eigenvalue derivatives and eigenvector derivatives

Abstract

Conference

ASJC Scopus subject areas

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