APPLICATIONS OF A GENERALIZED GALERKIN METHOD TO NON-LINEAR OSCILLATIONS OF 2-DEGREE-OF-FREEDOM SYSTEMS

被引：23

作者：

CHEN, G ^{[1
]}

机构：

[1] GEORGIA INST TECHNOL,SCH ENGN SCI & MECH,ATLANTA,GA 30322

来源：

JOURNAL OF SOUND AND VIBRATION | 1987年 / 119卷 / 02期

关键词：

STRUCTURAL ANALYSIS - Mathematical Models;

D O I：

10.1016/0022-460X(87)90451-2

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A generalized Galerkin's method is formulated for multi-degree-of-freedom holonomic systems. Two autonomous non-linear two-d. o. f. oscillators are used as the examples for the applications of the method: (i) free oscillations of a non-linear mass-spring system with two d. o. f. , (ii) two weakly non-linearly coupled identical van der Pol oscillators. The accuracy of the approximate solutions is discussed. The effect of different time intervals of integration on the results is also investigated.

引用

页码：225 / 242

页数：18

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