Accurate Solutions of Conservative Nonlinear Oscillators by the Enhanced Cubication Method

Alex Elias-Zuniga; Oscar Martinez-Romero

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Accurate Solutions of Conservative Nonlinear Oscillators by the Enhanced Cubication Method

机译：改进的三次法精确解非线性守恒方程

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The enhanced cubication method is applied to develop approximate solutions for the most common nonlinear oscillators found in the literature. It is shown that this procedure leads to amplitude-time response curves and angular frequency values with maximum relative errors lower than those found by previously developed approximate solutions.

机译：增强的立方化方法用于为文献中发现的最常见的非线性振荡器开发近似解。结果表明，该程序导致幅度-时间响应曲线和角频率值的最大相对误差低于先前开发的近似解决方案。

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《Mathematical Problems in Engineering》 |2013年第3期|842423.1-842423.9|共9页
作者
Alex Elias-Zuniga; Oscar Martinez-Romero;
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Departamento de Ingenieria Mecanica, Tecnologico de Monterrey, Campus Monterrey, E. Garza Sada 2501 Sur,64849 Monterrey, NL, Mexico;

Departamento de Ingenieria Mecanica, Tecnologico de Monterrey, Campus Monterrey, E. Garza Sada 2501 Sur,64849 Monterrey, NL, Mexico;

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1. Accurate Solutions of Conservative Nonlinear Oscillators by the Enhanced Cubication Method [J] . AlexElías-Zú?iga, OscarMartínez-Romero Mathematical Problems in Engineering: Theory, Methods and Applications . 2013,第3期

机译：改进的立方化方法精确解守恒非线性振荡器
2. A more accurate solution of nonlinear conservative oscillator by energy balance method [J] . Helal Uddin Molla, Abdur Razzak, M.S. Alam Multidiscipline modeling in materials and structures . 2018,第4期

机译：能量平衡法更精确地求解非线性保守振荡器
3. Nonlinear free vibration of conservative oscillators with inertia and static type cubic nonlinearities using homotopy analysis method [J] . Hoseini SH, Pirbodaghi T, Asghari M, Journal of Sound and Vibration . 2008,第1a5期

机译：具有惯性和静态三次非线性的保守振荡器的非线性自由振动的同伦分析方法。
4. METHOD OF COMPLEX AMPLITUDES: HARMONICALLY EXCITED OSCILLATOR WITH STRONG CUBIC NONLINEARITY [C] . O.V.Gendelman, L.I.Manevitch 19th Biennial Conference on Mechanical Vibration and Noise . 2003

机译：复振幅的方法：具有强立方非线性的谐波激励振荡器
5. Mathematical modeling of coupled nonlinear Schroedinger systems using conservative methods [D] . Sonnier, William Joshua. 2004

机译：使用保守方法耦合非线性施罗德制造系统的数学建模
6. The rapidly convergent solutions of strongly nonlinear oscillators [O] . M. S. Alam, Md. Abdur Razzak, Md. Alal Hosen, -1

机译：强非线性振荡器的快速收敛解
7. Accurate Solutions of Conservative Nonlinear Oscillators by the Enhanced Cubication Method [O] . Alex Elías-Zúñiga, Oscar Martínez-Romero 2013

机译：增强立方法的保守非线性振荡器精确解决方案

Accurate Solutions of Conservative Nonlinear Oscillators by the Enhanced Cubication Method

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