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CLC number: TU31

On-line Access: 2010-08-02

Received: 2009-10-20

Revision Accepted: 2010-04-12

Crosschecked: 2010-07-17

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Journal of Zhejiang University SCIENCE A 2010 Vol.11 No.8 P.563-570


Internal force and deformation matrixes and their applications in load path

Author(s):  Qi Chen, Xin-jian Kou, Yan-meng Zhang

Affiliation(s):  Department of Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Corresponding email(s):   chenqi1211@hotmail.com

Key Words:  Truss structure, Redundancy, Robustness, Topological relationship of structure, Removal of members, Transfer law

Qi Chen, Xin-jian Kou, Yan-meng Zhang. Internal force and deformation matrixes and their applications in load path[J]. Journal of Zhejiang University Science A, 2010, 11(8): 563-570.

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%T Internal force and deformation matrixes and their applications in load path
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%A Yan-meng Zhang
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A0900630

T1 - Internal force and deformation matrixes and their applications in load path
A1 - Qi Chen
A1 - Xin-jian Kou
A1 - Yan-meng Zhang
J0 - Journal of Zhejiang University Science A
VL - 11
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SP - 563
EP - 570
%@ 1673-565X
Y1 - 2010
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A0900630

This paper deals with the internal force and the deformation matrixes, both of which can be used to analyze the topological relationship of a structure. Based on the reciprocal theorem, the relationship between the two matrixes is established, which greatly simplifies the computation of the internal force matrix. According to the characteristics of the internal force matrix, the transfer law of the matrix itself (due to the removal of components) is established based on the principle of linear superposition. With the relation of the two matrixes, the transfer law of the deformation matrix is also obtained. The transfer law illuminates the change regularity of internal force or deformation of the remnant structure when certain members are cut off one after another. The results of numerical examples show that the proposed methods are correct, reliable and effective.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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