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Title: Calculation of eigenvalue and eigenvector derivatives with the improved Kron¡¦s substructuring method
Authors: Xia, Yong
Weng, Shun
Xu, Y. L.
Zhu, Hong-Ping
Keywords: Substructuring method
Model updating
Issue Date: 10-Sep-2010
Publisher: Techno Press
Source: Structural engineering and mechanics, 10 Sept. 2010, v. 36, no. 1, p. 37-55. How to cite?
Journal: Structural engineering and mechanics 
Abstract: For large-scale structures, the calculation of the eigensolution and the eigensensitivity is usually very time-consuming. This paper develops the Kron's substructuring method to compute the firstorder derivatives of the eigenvalues and eigenvectors with respect to the structural parameters. The global structure is divided into several substructures. The eigensensitivity of the substructures are calculated via the conventional manner, and then assembled into the eigensensitivity of the global structure by performing some constraints on the derivative matrices of the substructures. With the proposed substructuring method, the eigenvalue and eigenvector derivatives with respect to an elemental parameter are computed within the substructure solely which contains the element, while the derivative matrices of all other substructures with respect to the parameter are zero. Consequently this can reduce the computation cost significantly. The proposed substructuring method is applied to the GARTEUR AG-11 frame and a highway bridge, which is proved to be computationally efficient and accurate for calculation of the eigensensitivity. The influence of the master modes and the division formations are also discussed.
ISSN: 1225-4568
EISSN: 1598-6217
DOI: 10.12989/sem.2010.36.1.037
Rights: Copyright ? 2010 Techno Press
Posted with permission of the publisher.
Appears in Collections:Journal/Magazine Article

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