Solvability condition in multi-scale analysis of gyroscopic continua

被引：54

作者：

Chen, Li-Qun ^{[1
,2
]}

Zu, Jean W. ^{[3
]}

机构：

[1] Shanghai Univ, Dept Mech, Shanghai 200444, Peoples R China

[2] Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China

[3] Univ Toronto, Dept Mech & Ind Engn, Toronto, ON M5S 3G8, Canada

来源：

JOURNAL OF SOUND AND VIBRATION | 2008年 / 309卷 / 1-2期

基金：

上海市自然科学基金; 中国国家自然科学基金;

关键词：

D O I：

10.1016/j.jsv.2007.06.003

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The solvability condition is investigated for the method of multiple scales applied to gyroscopic continua. The general framework of the multi-scale analysis is proposed for a linear gyroscopic continuous system under small nonlinear timedependent disturbances. The solvability condition is derived from the properties of the systems. The condition holds only for appropriate boundary conditions. The appropriateness of the boundary conditions can be examined for unperturbed linear systems. An example is presented to highlight the requirements on the boundary conditions. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：338 / 342

页数：5

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