以连接在拉伸导线上的质量为典型的非线性振荡器精确周期的封闭表达式

1区工程技术 Q1 Engineering

Advances in Applied Mechanics Pub Date : 2011-12-01 DOI:10.4208/AAMM.11-M1141

M. Mamode

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引用次数: 1

摘要

得到了具有非多项式势的保守非线性振荡器周期的精确解析表达式。这样的振荡系统对应于附着在拉伸弹性线中心的粒子的横向振动。结果以椭圆函数的形式给出，验证了求解这类非线性问题常用的调和平衡法和有理调和平衡法等各种近似方法得到的近似公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Closed-Form Expression for the Exact Period of a Nonlinear Oscillator Typified by a Mass Attached to a Stretched Wire

The exact analytical expression of the period of a conservative nonlinear oscillator with a non-polynomial potential, is obtained. Such an oscillatory system corresponds to the transverse vibration of a particle attached to the center of a stretched elastic wire. The result is given in terms of elliptic functions and validates the approximate formulae derived from various approximation procedures as the harmonic balance method and the rational harmonic balance method usually implemented for solving such a nonlinear problem.

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来源期刊

Advances in Applied Mechanics 工程技术-工程：机械

CiteScore

23.30

自引率

0.00%

发文量

期刊介绍： Advances in Applied Mechanics draws together recent significant advances in all areas of applied mechanics. Published since 1948, it aims to provide the highest quality, authoritative review articles on topics in the mechanical sciences. It is of primary interest to scientists and engineers working in the various branches of mechanics and is also valuable to those who apply the results of investigations in mechanics to areas such as aerospace, chemical, civil, environmental, mechanical and nuclear engineering.