Accurate analytical approximate solutions to general strong nonlinear oscillators |
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| Authors: | W P Sun B S Wu |
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| Institution: | (1) Department of Mechanics and Engineering Science, School of Mathematics, Jilin University, Changchun, 130012, P.R. China |
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| Abstract: | A new approach is presented for establishing the analytical approximate solutions to general strong nonlinear conservative
single-degree-of-freedom systems. Introducing two odd nonlinear oscillators from the original general nonlinear oscillator
and utilizing the analytical approximate solutions to odd nonlinear oscillators proposed by the authors, we construct the
analytical approximate solutions to the original general nonlinear oscillator. These analytical approximate solutions are
valid for small as well as large oscillation amplitudes. Two examples are presented to illustrate the great accuracy and simplicity
of the new approach. |
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| Keywords: | General nonlinear oscillator Large amplitude Odd nonlinearity Newton method Harmonic balance (HB) Analytical approximation |
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