A comparison of classical and high dimensional harmonic balance approaches for a Duffing oscillator

被引：139

作者：

Liu, L ^{[1
]}

Thomas, JP ^{[1
]}

Dowell, EH ^{[1
]}

Attar, P ^{[1
]}

Hall, KC ^{[1
]}

机构：

[1] Duke Univ, Dept Mech Engn & Mat Sci, Durham, NC 27708 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2006年 / 215卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Duffing's oscillator; harmonic balance method; limit cycle oscillations; numerical analysis; dynamical systems;

D O I：

10.1016/j.jcp.2005.10.026

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 [计算机应用技术]; 0835 [软件工程];

摘要：

The present study focuses on a novel harmonic balance formulation, which is much easier to implement than the standard/classical harmonic balance method for complex nonlinear mathematical models and algorithms. Both harmonic balance approaches are applied to Duffing's oscillator to demonstrate the advantages and disadvantages of the two approaches. A fundamental understanding of the difference between these two methods is achieved, and the properties of each method are analyzed in detail. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：298 / 320

页数：23

共 16 条

[1]

BERAN SP, 2004, 20041695 AIAA

[2]

Periodic solutions of an unsymmetric oscillator including a comprehensive study of their stability characteristics [J].