This paper deals with nonlinear oscillation of a general single-degree-of-freedom system. By combining the linearization of the governing equation with the method of harmonic balance, we establish two analytical approximate formulas for the period. These two formulas are valid for small as well as large amplitudes of oscillation.
A New Approach to Nonlinear Oscillations
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, June 7, 2000; final revision, June 10, 2001. Associate Editor: D. A. Siginer.
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Wu , B., and Li , P. (June 10, 2001). "A New Approach to Nonlinear Oscillations ." ASME. J. Appl. Mech. November 2001; 68(6): 951–952. https://doi.org/10.1115/1.1406960
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