Analytical study on a Duffing-harmonic oscillator

被引:28
|
作者
Tiwari, SB
Rao, BN [1 ]
Swamy, NS
Sai, KS
Nataraja, HR
机构
[1] Vikram Sarabhai Space Ctr, Struct Anal & Testing Grp, Trivandrum 695022, Kerala, India
[2] Vivekananda Inst Technol, Dept Comp Sci & Engn, Bangalore 560074, Karnataka, India
[3] SVH Coll Engn, Dept Math, Machilipatnam 521002, India
[4] CV Raman Nagar, Compressor Grp, Gas Turbine Res Estab, Bangalore 560093, Karnataka, India
关键词
D O I
10.1016/j.jsv.2004.11.001
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
A study on a Duffing-harmonic oscillator was discussed. An approximate frequency-amplitude relation for the equation of motion was analyzed which gave the results close to the exact solution. A periodic solution without numerical integration was also used by applying a rational harmonic balance approximation. It was observed that the restoring force in the equation was the same for both negative and positive amplitudes.
引用
收藏
页码:1217 / 1222
页数:6
相关论文
共 50 条
  • [11] Homotopy analysis approach to Duffing-harmonic oscillator
    Shao-dong Feng
    Li-qun Chen
    Applied Mathematics and Mechanics, 2009, 30 : 1083 - 1089
  • [12] Frequency-amplitude relationship of the Duffing-harmonic oscillator
    Tao, Zhao-Ling
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2008, 31 (02) : 279 - 285
  • [13] A new analytical technique based on harmonic balance method to determine approximate periods for Duffing-harmonic oscillator
    Hosen, Md. Alal
    Chowdhury, M. S. H.
    ALEXANDRIA ENGINEERING JOURNAL, 2015, 54 (02) : 233 - 239
  • [14] An explicit approximate solution to the Duffing-harmonic oscillator by a cubication method
    Belendez, A.
    Mendez, D. I.
    Fernandez, E.
    Marini, S.
    Pascual, I.
    PHYSICS LETTERS A, 2009, 373 (32) : 2805 - 2809
  • [15] Accurate Explicit Analytical Solutions of the Duffing-Harmonic Oscillator Equation using Nonlinear Time Transformation
    Yamgoue, Serge Bruno
    Nana, Bonaventure
    Pelap, Francois Beceau
    JOURNAL OF APPLIED NONLINEAR DYNAMICS, 2022, 11 (04) : 951 - 962
  • [16] Approximate Solution for the Duffing-Harmonic Oscillator by the Enhanced Cubication Method
    Elias-Zuniga, Alex
    Martinez-Romero, Oscar
    Cordoba-Diaz, Renek.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
  • [17] An explicit approximate solution to the Duffing-harmonic oscillator by a cubication method
    Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal, Universidad de Alicante, Apartado 99, E-03080 Alicante, Spain
    不详
    Phys Lett Sect A Gen At Solid State Phys, 32 (2805-2809):
  • [18] Application of He's homotopy perturbation method to the Duffing-harmonic oscillator
    Belendez, A.
    Hernandez, A.
    Belendez, T.
    Fernandez, E.
    Alvarez, M. L.
    Neipp, C.
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2007, 8 (01) : 79 - 88
  • [19] Application of He's frequency-amplitude formulation to the Duffing-harmonic oscillator
    Fan, Jie
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2008, 31 (02) : 389 - 394
  • [20] Hamiltonian Approach to Duffing-harmonic Equation
    He, Ji-Huan
    Zhong, Ting
    Tang, Liang
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2010, 11 : 43 - 46