A generalized iteration procedure for calculating approximations to periodic solutions of "truly nonlinear oscillators"

被引：72

作者：

Mickens, RE ^{[1
]}

机构：

[1] Clark Atlanta Univ, Dept Phys, Atlanta, GA 30314 USA

来源：

JOURNAL OF SOUND AND VIBRATION | 2005年 / 287卷 / 4-5期

关键词：

D O I：

10.1016/j.jsv.2005.03.005

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

An extended iteration method for calculating the periodic solutions of nonlinear oscillator equations is given. The procedure is illustrated by applying it to two "truly nonlinear oscillator" differential equations. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1045 / 1051

页数：7

共 12 条

[1] Harmonic balance based averaging: Approximate realizations of an asymptotic technique [J].

Chatterjee, A .

NONLINEAR DYNAMICS, 2003, 32 (04) :323-343

[2] Multiple scales via Galerkin projections: Approximate asymptotics for strongly nonlinear oscillations [J].

Das, SL ;

Chatterjee, A .

NONLINEAR DYNAMICS, 2003, 32 (02) :161-186

[3]

HILL L, 1984, B AM PHYS SOC, V29, P63

[4] Numerical investigation of quasilinearization method in quantum mechanics [J].

Krivec, R ;

Mandelzweig, VB .

COMPUTER PHYSICS COMMUNICATIONS, 2001, 138 (01) :69-79

[5] A modified Mickens procedure for certain non-linear oscillators [J].

Lim, CW ;

Wu, BS .

JOURNAL OF SOUND AND VIBRATION, 2002, 257 (01) :202-206

[6] Analysis of non-linear oscillators having non-polynomial elastic terms [J].

Mickens, RE .

JOURNAL OF SOUND AND VIBRATION, 2002, 255 (04) :789-792

[7]

Mickens RE, 1999, J SOUND VIB, V224, P167, DOI 10.1006/jsvi.1998.2141

[8] A combined equivalent linearization and averaging perturbation method for non-linear oscillator equations [J].

Mickens, RE .

JOURNAL OF SOUND AND VIBRATION, 2003, 264 (05) :1195-1200

[9] ITERATION PROCEDURE FOR DETERMINING APPROXIMATE SOLUTIONS TO NONLINEAR OSCILLATOR EQUATIONS [J].

MICKENS, RE .

JOURNAL OF SOUND AND VIBRATION, 1987, 116 (01) :185-187

[10] CONSTRUCTION OF APPROXIMATE ANALYTICAL SOLUTIONS TO A NEW CLASS OF NON-LINEAR OSCILLATOR EQUATION [J].

MICKENS, RE ;

OYEDEJI, K .

JOURNAL OF SOUND AND VIBRATION, 1985, 102 (04) :579-582

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