Solution of a Duffing-harmonic oscillator by the method of harmonic balance

Journal of Sound and Vibration

Volumn 294, Issue 3, 2006, Pages 637-639

  Hu, H ^a   Tang, J H ^a  

^a HUNAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ELECTRIC FREQUENCY CONTROL; HARMONIC GENERATION; VIBRATION CONTROL;

DUFFING-HARMONIC OSCILLATOR; FREQUENCY-AMPLITUDE RELATION; HARMONIC BALANCE; RITZ PROCEDURE;

OSCILLATORS (ELECTRONIC);

EID: 33646528864     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2005.12.025     Document Type: Article

References (7)

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2. Mickens R.E. Semi-classical quantization using the method of harmonic balance. Nuove Cimento 101B (1988) 359-366
3. Mickens R.E. Mathematical and numerical study of the Duffing-harmonic oscillator. Journal of Sound and Vibration 244 (2001) 563-567
4. Mickens R.E. Oscillations in Planar Dynamic Systems (1996), World Scientific, Singapore
5. Gradshteyn I.S., and Ryzhik I.M. Table of Integrals, Series, and Products (1980), Academic Press, New York (p. 383)
6. Tiwari S.B., Nageswara Rao B., Shivakumar Swamy N., Sai K.S., and Nataraja H.R. Analytical study on a Duffing-harmonic oscillator. Journal of Sound and Vibration 285 (2005) 1217-1222
7. Abramson H.N. Nonlinear vibration. In: Harris C.M. (Ed). Shock and Vibration Handbook (1988), McGraw-Hill, New York (Chapter 4)