Multiscale analysis of a cantilever with a contact boundary

被引：18

作者：

Chen, Li-Qun ^{[1
]}

机构：

[1] Shanghai Univ, Dept Mech, Shanghai 20444, Peoples R China

来源：

IUTAM SYMPOSIUM ON MULTISCALE PROBLEMS IN MULTIBODY SYSTEM CONTACTS | 2007年 / 1卷

关键词：

D O I：

10.1007/978-1-4020-5981-0_2

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This paper investigates nonlinear vibration in a forced cantilever with a contact boundary. The cantilever is assumed as an Euler-Bernoulli beam, and the contact is specified by the Derjaguin-Muller-Toporov theory. The mathematical model is a linear non-autonomous partial-differential equation with a nonlinear autonomous boundary condition. The method of multiple scales is applied to calculate the steady-state response in principal resonance. The equation of response curves is derived from the solvability condition of eliminating secular terms. Numerical examples are presented to demonstrate the effects of the excitation amplitude, the damping coefficient, and the coefficients related to the contact boundary.

引用

页码：11 / 21

页数：11

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