THE VARIATIONAL AND VIRIAL-LIKE THEORY OF OSCILLATIONS AND STABILITY OF NONCONSERVATIVE AND OR NONLINEAR MECHANICAL SYSTEMS

被引：7

作者：

PAPASTAVRIDIS, JG

机构：

[1] Georgia Inst of Technology, Sch of, Engineering Science & Mechanics,, Atlanta, GA, USA, Georgia Inst of Technology, Sch of Engineering Science & Mechanics, Atlanta, GA, USA

来源：

JOURNAL OF SOUND AND VIBRATION | 1986年 / 104卷 / 02期

基金：

美国国家科学基金会;

关键词：

MECHANISMS; -; Oscillations;

D O I：

10.1016/0022-460X(86)90264-6

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A general variational method for the approximate treatment of non-conservative and/or non-linear oscillatory systems is developed. The virial theorem, and some simple stability/instability criteria derived from it are also formulated. Applications of the above to some well-known linear and non-linear problems are presented.

引用

页码：209 / 227

页数：19

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