An effective modification of He's variational approach to a nonlinear oscillator

被引：11

作者：

Nawaz, Yasir ^{[1
]}

Arif, Muhammad Shoaib ^{[1
]}

Bibi, Mairaj ^{[2
]}

Naz, Mehvish ^{[2
]}

Fayyaz, Rabia ^{[2
]}

机构：

[1] Air Univ, Dept Math, PAF Complex E-9, Islamabad 44000, Pakistan

[2] Comsats Univ, Dept Math, Islamabad, Pakistan

来源：

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

关键词：

Variational approach; nonlinear oscillators; analytical approximation methods; HAMILTONIAN APPROACH;

D O I：

10.1177/1461348419829372

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

This paper is concerned with the application of the variational principle to nonlinear oscillators with fractional power. In the proposed approach, high-order trial solutions are assumed with unknown parameters that are estimated using conditions by the variational theory. To perform integration in the proposed approach, linearization of the nonlinear term is carried out for simple calculation. The proposed approach delivered an estimate of the oscillator frequency with a relative error as small as 0.009%.

引用

页码：1013 / 1022

页数：10

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