期刊
JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL
卷 40, 期 3, 页码 1351-1362出版社
SAGE PUBLICATIONS LTD
DOI: 10.1177/1461348420979758
关键词
Modified Lindstedt-Poincare method; nonlinear oscillator; quadratic nonlinear oscillator
类别
The article discusses an analytical solution for a quadratic nonlinear oscillator using the harmonic balance method, as well as previous modifications made by Cheung et al. to solve strong nonlinear oscillators. A changed form of frequency-related parameter has been introduced to address limitations in the previous methods for solving quadratic oscillators.
Recently, an analytical solution of a quadratic nonlinear oscillator has been presented based on the harmonic balance method. By introducing a small parameter, a set of nonlinear algebraic equations have been solved which usually appear among unknown coefficients of several harmonic terms. But the method is not suitable for all quadratic oscillators. Earlier, introducing a small parameter to the frequency series, Cheung et al. modified the Lindstedt-Poincare method and used it to solve strong nonlinear oscillators including a quadratic oscillator. But due to some limitations of both parameters, a changed form of frequency-related parameter (introduced by Cheung et al.) has been presented for solving various quadratic oscillators.
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