Approximate eigensolutions of axially moving beams with small flexural stiffness

被引：58

作者：

Kong, L ^{[1
]}

Parker, RG ^{[1
]}

机构：

[1] Ohio State Univ, Dept Mech Engn, Columbus, OH 43210 USA

来源：

JOURNAL OF SOUND AND VIBRATION | 2004年 / 276卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/j.jsv.2003.11.027

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A perturbation method was developed to find closed-form, approximate eigensolutions of axially moving beams with small bending stiffness. Closed-form approximate natural frequencies and vibration modes were derived based on attenuation and propagation properties of the constituent waves. It was found that when the axial speed of the beam was zero, the solutions converged to known solutions for the non-gyroscopic systems. The approach was found to be straightforward, suited for different boundary conditions, and had accessible physical explanation.

引用

页码：459 / 469

页数：11

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