Solutions of a quadratic nonlinear oscillator: Iteration procedure

Journal of Sound and Vibration

Volumn 298, Issue 4-5, 2006, Pages 1159-1165

  Hu, H ^a  

^a HUNAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; HARMONIC ANALYSIS; ITERATIVE METHODS; LINEAR EQUATIONS;

AUXILIARY EQUATIONS; HARMONIC BALANCE; QUADRATIC NONLINEAR OSCILLATOR (QNO);

OSCILLATORS (MECHANICAL);

EID: 33748757919     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2006.06.005     Document Type: Article

References (9)

1. Mickens R.E. Oscillations in Planar Dynamic Systems (1996), World Scientific, Singapore
2. Wu B.S., and Lim C.W. Large amplitude non-linear oscillations of a general conservative system. International Journal of Non-linear Mechanics 39 (2004) 859-870
3. Hu H. Solution of a quadratic nonlinear oscillator by the method of harmonic balance. Journal of Sound and Vibration 293 (2006) 462-468
4. Lim C.W., and Wu B.S. A modified Mickens procedure for certain non-linear oscillators. Journal of Sound and Vibration 257 (2002) 202-206
5. Mickens R.E. A generalized iteration procedure for calculating approximations to periodic solutions of "truly nonlinear oscillators". Journal of Sound and Vibration 287 (2005) 1045-1051
6. Mickens R.E. Iteration procedure for determining approximate solutions to non-linear oscillator equation. Journal of Sound and Vibration 116 (1987) 185-188
7. Hu H. Solutions of nonlinear oscillators with fractional powers by an iteration procedure. Journal of Sound and Vibration 294 (2006) 608-614
8. 1/3 force oscillators. Journal of Sound and Vibration 292 (2006) 964-968
9. Hu H. Exact solution of a quadratic nonlinear oscillator. Journal of Sound and Vibration 295 (2006) 450-457