Complex Frequency Analysis of an Axially Moving String with Multiple Attached Oscillators by Using Green's Function Method

被引：2

作者：

Lu, Le-Feng ^{[1
]}

Wang, Yue-Fang ^{[1
,2
]}

Liu, Ying-Xi ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Engn Mech, 2 Linggong Rd, Dalian 116024, Peoples R China

[2] State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China

来源：

DYNAMICAL SYSTEMS: DISCONTINUITY, STOCHASTICITY AND TIME-DELAY | 2010年

关键词：

GYROSCOPIC SYSTEMS; EIGENVALUE; STABILITY;

D O I：

10.1007/978-1-4419-5754-2_29

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

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.

引用

页码：371 / 381

页数：11

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