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Indexed by:会议论文

Date of Publication:2010-01-01

Included Journals:CPCI-S、Scopus

Page Number:371-381

Abstract:In the present paper, the eigenvalue problem of an axially moving string with multiple attached mass-spring oscillators is investigated. Closed form transcendental equations for the natural frequencies are obtained by means of the Green's function method. The maximum variance rate of eigen-frequencies of the string is presented to indicate the coupling strength between the modes of subsystems. The Galerkin's discretization method is analyzed so as to determine the approximate eigenvalues for large numbers of oscillators. The results of the traveling mass model are also presented as a limit case.