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首页> 外文期刊>International journal of non-linear mechanics >Large amplitude non-linear oscillations of a general conservative system
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Large amplitude non-linear oscillations of a general conservative system

机译：一般保守系统的大振幅非线性振荡

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This paper presents new, approximate analytical solutions to large-amplitude oscillations of a general, inclusive of odd and non-odd non-linearity, conservative single-degree-of-freedom system. Based on the original general non-linear oscillating system, two new systems with odd non-linearity are to be addressed. Building on the approximate analytical solutions of odd non-linear systems developed by the authors earlier, we construct the new approximate analytical solutions to the original general non-linear system by combinatory piecing of the approximate solutions corresponding to, respectively, the two new systems introduced. These approximate solutions are valid for small as well as large amplitudes of oscillation for which the perturbation method either provides inaccurate solutions or is inapplicable. Two examples with excellent approximate analytical solutions are presented to illustrate the great accuracy and simplicity of the new formulation.
机译：本文提出了一种新的近似解析解，适用于一般的大振幅振荡，包括奇数和非奇数非线性，保守的单自由度系统。基于原始的一般非线性振荡系统，将要解决两个具有奇数非线性的新系统。在作者先前开发的奇数非线性系统的近似解析解的基础上，我们通过组合分别对应于所引入的两个新系统的近似解，构造了原始原始非线性系统的新近似解析解。 。这些近似解对于小振幅和大振幅的振动都是有效的，对于这种振幅，扰动方法要么提供了不正确的解，要么不适用。给出了两个具有出色近似分析解决方案的示例，以说明新配方的出色准确性和简单性。

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