Fourier analysis of a rational harmonic balance approximation for periodic solutions

Journal of Sound and Vibration

Volumn 195, Issue 3, 1996, Pages 528-550

  Mickens, R E ^a   Semwogerere, D ^a  

^a CLARK ATLANTA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; FOURIER TRANSFORMS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; POLYNOMIALS;

NONLINEAR ONE DIMENSIONAL OSCILLATOR DIFFERENTIAL EQUATION; PERIODIC SOLUTIONS; RATIONAL HARMONIC BALANCE APPROXIMATION;

APPROXIMATION THEORY;

EID: 0030214603     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0442     Document Type: Editorial

References (6)

1. N. K. BARY 1964 A Treatise on Trigonometric Series, Volume I. New York: Macmilan.
2. A. ZYGMUND 1955 Trigonometric Series. New York: Dover.
3. R. E. MICKENS 1988 Journal of Sound and Vibration 124, 199-203. Bounds on the Fourier coefficients for the periodic solutions of nonlinear oscillator equations.
4. R. E. MICKENS 1981 Nonlinear Oscillations. New York: Cambridge University Press.
5. R. E. MICKENS 1986 Journal of Sound and Vibration 111, 515-518. A generalization of the method of harmonic balance.
6. I. S. GRADSHTEYN and I. M. RYZHIK 1965 Table of Integrals, Series, and Products. New York: Academic Press. See p. 366, equation (3.613.1).