Primary resonance of multiple degree-of-freedom dynamic systems with strong non-linearity using the homotopy analysis method

被引：5

作者：

Yuan, Pei-xin ^{[1
]}

Li, Yong-qiang ^{[2
]}

机构：

[1] Northeastern Univ, Mech Engn & Automat Sch, Shenyang 110004, Peoples R China

[2] Northeastern Univ, Coll Sci, Shenyang 110004, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2010年 / 31卷 / 10期

关键词：

homotopy analysis method; primary resonance; series solution; strong non-linearity; multi-degree-of-freedom; APPROXIMATE SOLUTION TECHNIQUE; LINDSTEDT-POINCARE METHOD; BOUNDARY-LAYER-FLOWS; SMALL PARAMETERS;

D O I：

10.1007/s10483-010-1362-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A homotopy analysis method (HAM) is presented for the primary resonance of multiple degree-of-freedom systems with strong non-linearity excited by harmonic forces. The validity of the HAM is independent of the existence of small parameters in the considered equation. The HAM provides a simple way to adjust and control the convergence region of the series solution by means of an auxiliary parameter. Two examples are presented to show that the HAM solutions agree well with the results of the modified Linstedt-Poincar, method and the incremental harmonic balance method.

引用

下载

页码：1293 / 1304

页数：12

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