Calculation of analytic approximations to the periodic solutions of a "truly nonlinear" oscillator equation

Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005

Volumn 6 B, Issue , 2005, Pages 781-784

  Mickens, Ronald E ^a  

^a CLARK ATLANTA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FREQUENCIES; HARMONIC ANALYSIS; ITERATIVE METHODS; OSCILLATORS (MECHANICAL);

ANALYTIC APPROXIMATIONS; ANGULAR FREQUENCIES; FOURIER COEF£CIENTS; PERIODIC SOLUTIONS;

NONLINEAR EQUATIONS;

EID: 33244460804     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2005-84474     Document Type: Conference Paper

References (7)

1. R. E. Mickens, Oscillations in Planar Dynamic Systems (World Scienti£c, Singapore, 2000).
2. 3 =0, Bulletin of the American Physical Society 29 (1984) 63.
3. R. E. Mickens, A combined equivalent linearization and averaging perturbation method for non-linear oscillator equations, Journal of Sound and Vibration 264 (2003) 1195-1200.
4. M. Senator and C. N. Bapat, A perturbation technique that works even when the non-linearity is not small, Journal of Sound and Vibration 164 (1993) 1-27.
5. R. E. Mickens, Iteration procedure for determining approximate solutions to non-linear oscillator equations, Journal of Sound and Vibrations 116 (1987) 185-187.
6. C. W. Lim and B. S. Wu, A modi£ied Mickens procedure for certain non-linear oscillators, Journal of Sound and Vibration 257 (2002) 202-206.
7. R. E. Mickens, A generalized iteration procedure for calculating approximations to periodic solutions of 'truly nonlinear oscillators'," Journal of Sound and Vibration (accepted for publication).