Accurate higher-order approximations to frequencies of nonlinear oscillators with fractional powers

Journal of Sound and Vibration

Volumn 281, Issue 3-5, 2005, Pages 1157-1162

  Lim, C W ^a   Wu, B S ^b  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b JILIN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; APPROXIMATION THEORY; HARMONIC ANALYSIS; INTEGER PROGRAMMING; LINEAR EQUATIONS; LINEARIZATION;

FRACTIONAL POWERS; HARMONIC BALANCE (HB) METHOD; ODD-INTEGER POWER; VANISHING POWER;

OSCILLATORS (ELECTRONIC);

EID: 13444260836     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsv.2004.04.030     Document Type: Article

References (10)

1. R.E. Mickens Oscillations in an x 4 / 3 potential Journal of Sound and Vibration 246 2001 375 378
2. H.P.W. Gottlieb Frequencies of oscillators with fractional-power nonlinearities Journal of Sound and Vibration 261 2003 557 566
3. A.H. Nayfeh, and D.T. Mook Nonlinear Oscillations 1979 Wiley New York
4. R.E. Mickens Oscillations in Planar Dynamic Systems 1996 World Scientific Singapore
5. B.S. Wu, and P.S. Li A method for obtaining approximate analytic periods for a class of nonlinear oscillators Meccanica 36 2001 167 176
6. B.S. Wu, and P.S. Li A new approach to nonlinear oscillations Journal of Applied Mechanics 68 2001 951 952
7. C.W. Lim, B.S. Wu, and L.H. He A new approximate analytical approach for dispersion relation of the nonlinear Klein-Gordon equation Chaos 11 2001 843 848
8. B.S. Wu, C.W. Lim, and L.H. He A new method for approximate analytic solutions to nonlinear oscillations of nonnatural systems Nonlinear Dynamics 32 2003 1 13
9. B.S. Wu, and C.W. Lim Large amplitude nonlinear oscillations of a general conservative system International Journal of NonLinear Mechanics 39 2004 859 870
10. C.W. Lim, B.S. Wu, and Q. Zeng Accurate approximate analytical solutions to nonlinear oscillating systems with a non-rational restoring force Advances in Vibration Engineering 2 2003 381 389