A modification of homotopy perturbation method for a hyperbolic tangent oscillator arising in nonlinear packaging system

被引：11
|
作者：
Song, Haiyan [1 ,2 ]
机构：
[1] Tianjin Univ Sci & Technol, Coll Packaging & Print Engn, Tianjin 300222, Peoples R China
[2] Key Lab Food Packaging Mat & Technol China Light, Tianjin, Peoples R China
来源：
JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL | 2019年 / 38卷 / 3-4期
关键词：
Hyperbolic tangent oscillator; nonlinear packaging system; homotopy perturbation method;
D O I：
10.1177/1461348418822135
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
This paper studies a hyperbolic tangent oscillator arising in a nonlinear packaging system. The high-order nonlinearity makes it difficult to study the system analytically. A modified homotopy perturbation method is proposed, where the initial guess is an approximate solution of the well-known Duffing oscillator; the solution accuracy can be improved by either improvement of the initial guess or continuous iteration. This paper gives a general approach to high-order nonlinear oscillators.
引用
收藏
页码：914 / 917
页数：4
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