Application of He's Energy Balance Method to a Nonlinear Oscillator with Discontinuity

Hui-Li Zhang; Yu-Guang Xu; Jin-Rong Chang

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Application of He's Energy Balance Method to a Nonlinear Oscillator with Discontinuity

机译：He能量平衡法在不连续非线性振荡器中的应用

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摘要

In this letter, He's energy balance method is used to determine the frequency-amplitude relation of the nonlinear oscillator with discontinuity. The result obtained provides an excellent approximation to the exact solution.

机译：在本文中，使用He的能量平衡方法确定具有不连续性的非线性振荡器的频率-振幅关系。获得的结果为精确解提供了极好的近似值。

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《International journal of nonlinear sciences and numerical simulation》 |2009年第2期|共8页
作者
Hui-Li Zhang; Yu-Guang Xu; Jin-Rong Chang;
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原文格式 PDF
正文语种 eng
中图分类数值分析;
关键词
He's energy balance method; Nonlinear oscillator; Discontinuity;

机译：他的能量平衡法;非线性振荡器;间断;

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1. Application of He's Energy Balance Method to a Nonlinear Oscillator with Discontinuity [J] . Hui-Li Zhang, Yu-Guang Xu, Jin-Rong Chang International journal of nonlinear sciences and numerical simulation . 2009,第2期

机译：He能量平衡法在不连续非线性振荡器中的应用
2. He's Energy Balance Method for Nonlinear Oscillators with Discontinuities [J] . G. A. Afrouzi, D. D. Ganji, R. A. Talarposhti International journal of nonlinear sciences and numerical simulation . 2009,第3期

机译：具有不连续性的非线性振荡器的He's能量平衡方法
3. AN APPLICATION OF ENERGY BALANCE METHOD FOR A CONSERVATIVE X~(1/3) FORCE NONLINEAR OSCILLATOR AND OSCILLATOR AND THE DUFFING EQUATIONS [J] . A. NIKKAR, S. ESMAILZADEH TOLOUI, K. RASHEDI, International journal of numerical methods and applications . 2011,第1期

机译：能量平衡方法在X〜（1/3）守恒非线性振动器和振动方程及Duffing方程中的应用
4. The incremental harmonic balance method for nonlinear vibration of autonomous self-excited oscillators with impact dampers [C] . Anoshiravan Farshidianfar, Neda Nickmehr, Bibi Maryam Arabi International Congress and Exhibition on Noise Control Engineering . 2009

机译：具有冲击阻尼器的自主自激振荡器非线性振动的增量谐波平衡方法
5. Adaptive nonlinear optimization methodology for installed capacity decisions in distributed energy/cooling heat and power applications. [D] . Hudson, Carl Randolph, II. 2005

机译：自适应非线性优化方法，用于分布式能源/制冷热电应用中的装机容量决策。
6. Direct observation of coherent energy transfer in nonlinear micromechanical oscillators [O] . Changyao Chen, Damián H. Zanette, David A. Czaplewski, -1

机译：直接观察非线性微机械振荡器中的相干能量传递
7. Higher accuracy analytical approximations to nonlinear oscillators with discontinuity by energy balance method [O] . M. Helal Uddin Molla, M.S. Alam 2017

机译：通过能量平衡法对具有不连续性的非线性振荡器进行更高精度的解析近似
8. Double Fourier Harmonic Balance Method for Nonlinear Oscillators by Means of Bessel Series. [R] . Lipscombe, T. C., Mungan, C. E. 2014

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Application of He's Energy Balance Method to a Nonlinear Oscillator with Discontinuity

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