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A method for obtaining approximate analytic periods for a class of nonlinear oscillators. (English) Zbl 1008.70016
Summary: This paper examines nonlinear oscillations of conservative single-degree-of-freedom systems with odd nonlinearity. By combining the linearization of the governing equation with the method of harmonic balance, we establish two approximate analytic formulas for the period. These two formulas are valid for small as well as for large amplitudes of oscillation. Three examples illustrate that the proposed formulas can give satisfactory approximate results.

MSC:
70K99 Nonlinear dynamics in mechanics
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