Analysis of nonlinear oscillators with un force by He’s energy balance method

被引：11
作者：
Akbarzade, M. [1 ]
Ganji, D.D. [1 ]
Pashaei, H. [1 ]
机构：
[1] Department of Mechanical Engineering, Mazandaran University, P.O. Box 484, Babol
来源：
Progress In Electromagnetics Research C | 2008年 / 3卷
关键词：
Oscillators; (mechanical);
D O I：
10.2528/PIERC08032901
中图分类号：
学科分类号：
摘要：
In this letter,an application of energy balance method is applied to solve the nonlinear oscillators with un force. Comparison is made between the modification of harmonic balance method and energy balance method. The results reveal that the energy balance method is very effective and simple. Energy balance method is very effective and convenient and quite accurate to both linear and nonlinear physics and engineering problems. © 2008, Electromagnetics Academy. All rights reserved.
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页码：57 / 66
页数：9
相关论文
共 24 条
[1]  
Nayfeh A.H., Mook D.T., Nonlinear Oscillations, (1979)
[2]  
He J.H., Preliminary report on the energy balance for nonlinear oscillations, Mechanics Research Communication, 29, pp. 107-111, (2002)
[3]  
Xu L., He’s parameter-expanding methods for strongly nonlinear scillators, Journal of Computation and Applied Mathematics, 207, pp. 148-154, (2007)
[4]  
Bender C.M., Pinsky K.S., Simmons L.M., A new perturbative approach to nonlinear problems, Journal of Mathematical Physics, 30, 7, pp. 1447-1455, (1989)
[5]  
He J.H., A note on delta-perturbation expansion method, Applied Mathematics and Mechanics, 23, 6, pp. 634-638, (2002)
[6]  
He J.H., Variational iteration method: A kind of nonlinear analytical technique: Some examples, International Journal of Nonlinear Mechanics, 34, 4, pp. 699-708, (1999)
[7]  
Ganji D.D., Tari H., Babazadeh H., The application of He’s variational iteration method to nonlinear equations arising in heat transfer, Physics Letters A, 363, 3, pp. 213-217, (2007)
[8]  
Rafei M., Daniali H., Ganji D.D., Variational iteration method for solving the epidemic model and the prey and predator problem, Applied Mathematics and Computation, 186, 2, pp. 1701-1709, (2007)
[9]  
Ganji D.D., Sadighi A., Application of He’s methods to nonlinear coupled systems of reaction-diffusion equations, International Journal of Nonlinear Sciences and Numerical Simulation, 7, 4, pp. 411-418, (2006)
[10]  
Xu L., Determination of limit cycle by He’s parameter-expanding method for strongly nonlinear oscillators, Journal of Sound and Vibration, 302, 1, pp. 178-184, (2007)
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