一类非线性振动周期与周期解的解析逼近

Analytical Approximations to Period and Periodic Solution for a Class of Nonlinear Oscillators

ZHOU Xian-bo¹,LI Peng-song²,WU Bai-sheng²

1.Mechanics Section , Changchun Airforce College of Flying , Changchun 130022 , China2.College of Mathematics , Jilin University , Changchun 130012 , China

Received:2002-03-18 Revised:1900-01-01 Online:2002-10-26
Contact: WU Bai-sheng

Abstract

Abstract: This paper deals with the 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 have established analytical approximate formulas for the period and the periodic solution. These formulas are valid for oscillations with small as well as large amplitude. It is illustrated by one example that the proposed formulas can give very satisfactory approximate results.

Key words: nonlinear oscillation, period, periodic solution, linearization, harmonic balance

CLC Number:

O322

ZHOU Xian-bo,LI Peng-song,WU Bai-sheng. Analytical Approximations to Period and Periodic Solution for a Class of Nonlinear Oscillators[J].J4, 2002, 40(04): 350-354.

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Analytical Approximations to Period and Periodic Solution for a Class of Nonlinear Oscillators

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