Substructuring approach to the calculation of higher-order eigensensitivity

Authors:
Shun Weng;Hong-Ping Zhu;Yong Xia;Xiao-Qing Zhou;Ling Mao
Affiliations:
School of Civil Engineering & Mechanics, Huazhong University of Science and Technology, Wuhan, Hubei, PR China;School of Civil Engineering & Mechanics, Huazhong University of Science and Technology, Wuhan, Hubei, PR China;Department of Civil & Structural Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong;College of Civil Engineering, Shenzhen University, Shenzhen, PR China;School of Civil Engineering & Mechanics, Huazhong University of Science and Technology, Wuhan, Hubei, PR China
Venue:
Computers and Structures
Year:
2013

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Abstract

Calculation of eigensensitivity is usually time-consuming for a large-scale structure. This paper develops a substructuring method for computing the first, second and high order eigensensitivity. The local area of a structure is treated as an independent substructure to be analyzed. The eigensensitivity of global structure with respect to a design parameter is calculated from the eigensensitivity of a particular substructure that contains the design parameter, thus allowing a significant reduction in computational cost. The accuracy and efficiency of the substructuring method is proved by a frame structure and a highway bridge.