Harmonic balance and iteration calculations of periodic solutions to over(y, ̈) + y- 1 = 0

Journal of Sound and Vibration

Volumn 306, Issue 3-5, 2007, Pages 968-972

  Mickens, Ronald E ^a  

^a CLARK ATLANTA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; OSCILLATORS (MECHANICAL); PROBLEM SOLVING; TIME VARYING SYSTEMS;

HARMONIC BALANCE; ITERATION CALCULATIONS; NONLINEAR SINGULAR OSCILLATORS; PERIODIC SOLUTIONS;

NONLINEAR SYSTEMS;

EID: 34547902167     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.06.010     Document Type: Article

References (6)

1. Acton J.R., and Squire P.T. Solving Equations with Physical Understanding (1985), Adam Hilger, Bristol and Boston (Chapter 5)
2. Mickens R.E. Oscillations in Planar Dynamic Systems (1996), World Scientific, Singapore
3. He J.H. Some asymptotic methods for strongly nonlinear equations. International Journal of Modern Physics B 20 (2006) 1141-1199
4. Gradshteyn I.S., and Ryzhik I.M. Tables of Integrals, Series and Products (1980), Academic Press, New York
5. Mickens R.E. A generalized iteration procedure for calculating approximations to periodic solutions of "truly non-linear oscillators". Journal of Sound and Vibration 287 (2005) 1045-1051
6. 1 / 3 force oscillators. Journal of Sound and Vibration 292 (2006) 964-968