Application of He’s variational approach method for periodic solution of strongly nonlinear oscillation problems

International Journal of Applied Mathematics and Computation

M. Shahabi¹  A. Ahmadi Jebelli¹  Amin Amani¹  N. Safara Nosar²  D. D. Ganji² 

[1] Department of Mechanical Engineering,Imam Hossein University, Tehran, Iran$$;Department of Mechanical EngineeringBabol University of Technology, Babol, Iran$$

关键词: He’s Variational Approach;    Nonlinear Oscillation;    Mixed Parity Nonlinear;    Ball-Bearing Oscillating;    Weakly Nonlinear System.;   

DOI  :  10.0000/ijamc.2010.2.3.95

来源: PSIT Kanpur

【 摘 要 】

Applications of He’s Variational Approach Method (VAM) to solve the nonlinear oscillations is discussed in this paper. We established approximate analytical formulas for the period periodic solution. In contrast with conventional methods, in VAM, only one iteration leads to high accuracy towards solutions. The attained results are logical for the whole solution domain with high preciseness. We find that VAM is excellently for the whole range of initial amplitudes. VAM is in an excellent agreement of the periodical solutions with the Exact or other analytical solutions which has been demonstrated and discussed

【 授权许可】

Unknown