Exact solution of a quadratic nonlinear oscillator

Journal of Sound and Vibration

Volumn 295, Issue 1-2, 2006, Pages 450-457

  Hu, H ^a  

^a HUNAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; EDUCATION; NONLINEAR PROGRAMMING; NONLINEAR SYSTEMS;

JACOBIAN ELLIPTIC SINE FUNCTION; QUADRATIC NONLINEAR OSCILLATOR;

OSCILLATORS (MECHANICAL);

EID: 33646812922     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2006.01.013     Document Type: Article

References (7)

1. Mickens R.E. Quadratic non-linear oscillators. Journal of Sound and Vibration 270 (2004) 427-432
2. Mickens R.E. Oscillations in Planar Dynamic Systems (1996), World Scientific, Singapore
3. 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
4. Li P.S., and Wu B.S. An iteration approach to nonlinear oscillations of conservative single-degree-of-freedom systems. Acta Mechanica 170 (2004) 69-75
5. R.H. Rand, Using computer algebra to handle elliptic functions in the method of averaging, in: A.K. Noor, I. Elishakoff, G. Hulbert (Eds.), Symbolic Computations and Their Impact on Mechanics, ASME PVP-Vol. 205, NewYork, 1990, pp. 311-326.
6. H. Hu, Solution of a quadratic nonlinear oscillator by the method of harmonic balance, Journal of Sound and Vibration, in press (doi:10.1016/j.jsv.2005.10.002).
7. Mickens R.E. Mathematical Methods for the Natural and Engineering Sciences (2004), World Scientific, Singapore