Natural vibration analysis of diagonal networks

Chai WS , Li Y , Chan

Abstract

This paper describes an exact method of analysis for natural vibration of diagonal networks by considering an equivalent cyclic periodic structure and adopting the double U-transformation technique. Both a lumped mass system and a distributed mass system are considered to investigate the diagonal networks. The exact solution for the frequency equations and the natural modes of the networks can be derived. As numerical examples, square diagonal cable networks with different meshes are worked out.

Key Words

diagonal network, natural vibration, the U-transformation technique, analytical method, exact solution

Address

Chai WS, GuangDong Univ Technol, Dept Civil Engn, Dongfengdong Rd, Guangzhou 510090, Peoples R ChinaGuangDong Univ Technol, Dept Civil Engn, Guangzhou 510090, Peoples R ChinaUniv Hong Kong, Dept Civil & Struct Engn, Hong Kong, Hong Kong

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