Modified variational iteration method for analytical solutions of nonlinear oscillators

被引：8
|
作者：
He, Wei [1 ]
Kong, Hua [2 ]
Qin, Yan-Mei [2 ]
机构：
[1] Nantong Vocat Coll Sci & Technol, Dept Qual Educ, Nantong, Peoples R China
[2] Neijiang Normal Univ, Coll Math & Informat Sci, Neijiang 641100, Peoples R China
来源：
JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL | 2019年 / 38卷 / 3-4期
关键词：
Nonlinear oscillator; variational iteration method; integral equations; Adomian polynomials; EQUATION;
D O I：
10.1177/1461348418784817
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
The second-order nonlinear oscillators have rich dynamics. We proposed a novel analytical method based on both variational iteration method and Adomian method. The variational iteration method is used to establish an equivalent integral system. So then Adomian polynomials are adopted to linearize the strong nonlinear terms in nonlinear oscillators and analytical solutions are obtained successively.
引用
收藏
页码：1178 / 1183
页数：6
相关论文
共 50 条
  • [1] A Modified Variational Iteration Method for Nonlinear Oscillators
    Yang, Q. W.
    Chen, Y. M.
    Liu, J. K.
    Zhao, W.
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2013, 14 (7-8) : 453 - 462
  • [2] The variational iteration method for nonlinear oscillators with discontinuities
    Rafei, M.
    Ganji, D. D.
    Daniall, H.
    Pashaei, H.
    JOURNAL OF SOUND AND VIBRATION, 2007, 305 (4-5) : 614 - 620
  • [3] Analytical approximate solutions of nonlinear oscillators by the modified decomposition method
    Momani, S
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2004, 15 (07): : 967 - 979
  • [4] Variational iteration method with matrix Lagrange multiplier for nonlinear oscillators
    Tao, Zhao-Ling
    Chen, Guo-Hua
    Chen, Yi-Han
    JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL, 2019, 38 (3-4) : 984 - 991
  • [5] Approximate Solutions for Nonlinear Initial Value Problems Using the Modified Variational Iteration Method
    Nofal, Taher A.
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [6] An improved piecewise variational iteration method for solving strongly nonlinear oscillators
    Heydari, M.
    Loghmani, G. B.
    Hosseini, S. M.
    COMPUTATIONAL & APPLIED MATHEMATICS, 2015, 34 (01): : 215 - 249
  • [7] An improved piecewise variational iteration method for solving strongly nonlinear oscillators
    M. Heydari
    G. B. Loghmani
    S. M. Hosseini
    Computational and Applied Mathematics, 2015, 34 : 215 - 249
  • [8] Application of the variational iteration method for nonlinear free vibration of conservative oscillators
    Baghani, M.
    Fattahi, M.
    Amjadian, A.
    SCIENTIA IRANICA, 2012, 19 (03) : 513 - 518
  • [9] ANALYTICAL SOLUTIONS FOR FREE OSCILLATIONS OF BEAMS ON NONLINEAR ELASTIC FOUNDATIONS USING THE VARIATIONAL ITERATION METHOD
    Younesian, Davood
    Saadatnia, Zia
    Askari, Hassan
    JOURNAL OF THEORETICAL AND APPLIED MECHANICS, 2012, 50 (02) : 639 - 652
  • [10] Analytical Approximations to Conservative Oscillators With Odd Nonlinearity Using the Variational Iteration Method
    Khosrozadeh, A.
    Hajabasi, M. A.
    Fahham, H. R.
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2013, 8 (01):
12345