✦ LIBER ✦

Linear vibration of a coupled string–rigid bar system

✍ Scribed by B. Yang

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 757 KB
Volume: 183
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1995.0261

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✦ Synopsis

Linear vibration of a coupled string -rigid bar system is investigated. Owing to dynamic interaction between the strings and the rigid bar, the coupled system is not self-adjoint in its original equations of motion. Consequently, the classical modal analysis cannot be applied. This study develops an augmented formulation for the eigenvalue and boundary value problems of the coupled system. In this formulation, orthogonal eigenfunctions are obtained, and the general response of the coupled string-bar system is represented by an eigenfunction series. Green's function formula for the coupled system is derived by two methods: modal analysis and Laplace transform. The analytical predictions about the system eigensolutions and response are illustrated in numerical simulation.

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