An approximation technique for solving nonlinear oscillators

被引：1

作者：

Huq, Md Ashraful ^{[1
]}

Hasan, M. Kamrul ^{[1
,2
]}

Alam, M. S. ^{[1
]}

机构：

[1] Rajshahi Univ Engn & Technol RUET, Dept Math, Kazla, Bangladesh

[2] Rajshahi Univ Engn & Technol RUET, Dept Math, Rajshahi 6204, Bangladesh

来源：

JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL | 2024年 / 43卷 / 01期

关键词：

Differential transform method; Duffing oscillator; quadratic oscillator; pendulum equation; DIFFERENTIAL TRANSFORM METHOD; HOMOTOPY PERTURBATION METHOD;

D O I：

10.1177/14613484231195267

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Recently, an approximation technique was presented for solving strong nonlinear oscillators modeled by second-order differential equations. Due to the arising of an algebraic complicity, the method fails to determine suitable solution of some important nonlinear problems such as quadratic oscillator, cubical Duffing oscillator of softening springs, and pendulum equation. However, suitable solutions of these oscillators are found by rearranging only an algebraic equation related to amplitude and frequency. The determination of solutions is simpler than the original version.

引用

页码：239 / 249

页数：11

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