He's frequency-amplitude formulation with average residuals for nonlinear oscillators

被引：50

作者：

Ren, Zhong-Fu ^{[1
]}

Hu, Gui-Fang ^{[2
]}

机构：

[1] Jining Med Univ, Sch Med Informat Engn, Jining, Shandong, Peoples R China

[2] Jining Med Univ, Affiliated Jining Peoples Hosp 1, Dept Rehabil Med, 6 Jiankang Rd, Jining 272011, Shandong, Peoples R China

来源：

JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL | 2019年 / 38卷 / 3-4期

关键词：

He's frequency-amplitude formulation; geometric average of residuals; nonlinear oscillator; VARIATIONAL ITERATION METHOD; HOMOTOPY PERTURBATION METHOD; STABILITY ANALYSIS; ENERGY-BALANCE; PRINCIPLE; EQUATIONS;

D O I：

10.1177/1461348418812327

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

In He's frequency-amplitude formulation, the relationship between frequency and amplitude of a nonlinear oscillator can be obtained through residuals of two trial solutions. Although a high accurate solution can be obtained, this method has some space to be further improved. Here, we show that the calculation of the residuals can be further simplified without loss of accuracy. Duffing oscillator with high nonlinearity is used as an example to show the solution process and accuracy.

引用

页码：1050 / 1059

页数：10

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