Global residue harmonic balance method for strongly nonlinear oscillator with cubic and harmonic restoring force

被引：11

作者：

Lu, Junfeng ^{[1
]}

机构：

[1] Zhejiang Gongshang Univ Hangzhou Coll Commerce, 66 Huancheng South Rd, Hangzhou 310018, Peoples R China

来源：

JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL | 2022年 / 41卷 / 04期

关键词：

Oscillator; approximation; frequency; global residue harmonic balance method; HOMOTOPY PERTURBATION METHOD; APPROXIMATIONS; DISCONTINUITY; INSTABILITY;

D O I：

10.1177/14613484221097465

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

This paper focuses on the numerical investigation of a strongly nonlinear oscillator with cubic and harmonic restoring force. We transform this oscillator as a free damped cubic-quintic Duffing oscillator equation by Taylor approximation. The approximated solutions with high accuracy are provided by using the global residue harmonic balance method (GRHBM) without any discretization or restrict assumptions. The sensitive analysis of the approximation or the frequency with respect to the amplitude is considered in detail. Numerical comparisons with Runge-Kutta method and harmonic balance method are given to show the efficiency and stability of GRHBM.

引用

页码：1402 / 1410

页数：9

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