Dynamic Analysis of Generalized Conservative Nonlinear Oscillators Via Frequency Amplitude Formulation

被引：20

作者：

Khan, Y. ^{[1
]}

Kalami-Yazdi, M. ^{[2
]}

Askari, H. ^{[3
]}

Saadatnia, Z. ^{[3
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China

[2] Iran Univ Sci & Technol, Ctr Excellence Expt Solid Mech & Dynam, Sch Mech Engn, Tehran 16846, Iran

[3] Iran Univ Sci & Technol, Sch Railway Engn, Tehran 16846, Iran

来源：

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING | 2013年 / 38卷 / 01期

关键词：

Conservative nonlinear oscillators; Frequency-amplitude formulation; Plasma physics; Duffing equation; ITERATION PERTURBATION METHOD; MAX-MIN APPROACH; PERIODIC-SOLUTIONS; HARMONIC-BALANCE; RESTORING FORCE;

D O I：

10.1007/s13369-011-0035-y

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, two kinds of frequency-amplitude formulation are used to solve the generalized conservative nonlinear equation in the form of for any arbitrary power of n and m. This equation is a general form of plasma physics equations and the Duffing equation. A frequency analysis is carried out and the relationship between the angular frequency and the initial amplitude is obtained in closed analytical form. This equation is analyzed in three cases: as a plasma physics equation, as a higher order Duffing equation and as an equation with irrational restoring force. Comparison with the exact integration method is also made, revealing that the present method leads to accurate solutions.

引用

页码：175 / 179

页数：5

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