Approximate solution of homotopic mapping for nonlinear vibration problem of transmission line

被引:7
作者
Wu Qin-Kuan [1 ]
机构
[1] Nanjing Inst Technol, Inst Math, Nanjing 211167, Peoples R China
基金
中国国家自然科学基金;
关键词
transmission line; nonlinear vibration; homotopic mapping; approximate solution; ANALYTIC SOLUTION; SOLITARY WAVE;
D O I
10.7498/aps.60.068802
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A class of dynamical model for the nonlinear vibration of a transmission line is studied. Using the homotopy mapping method, the approximate solution with an arbitrary degree of accuracy is obtained.
引用
收藏
页数:4
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共 23 条
  • [1] Wind- and rain-induced oscillations of cables of stayed bridges
    Bosdogianni, A
    Olivari, D
    [J]. JOURNAL OF WIND ENGINEERING AND INDUSTRIAL AERODYNAMICS, 1996, 64 (2-3) : 171 - 185
  • [2] Analytical prediction and experimental validation for longitudinal control of cable oscillations
    Gattulli, Vincenzo
    Alaggio, Rocco
    Potenza, Francesco
    [J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2008, 43 (01) : 36 - 52
  • [3] HE JH, 2002, APPROXINATE NONLINEA, P113
  • [4] [肖锡武 Xiao Xiwu], 2003, [振动、测试与诊断, Journal of Vibration, Measurement and Diagnosis], V23, P110
  • [5] [蒋扇英 JIANG Shan-ying], 2009, [力学季刊, Chinese quarterly of mechanics], V30, P33
  • [6] An analytic approach to solve multiple solutions of a strongly nonlinear problem
    Li, SC
    Liao, SJ
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 169 (02) : 854 - 865
  • [7] LIAO SJ, 2004, PERTURBATION INTRO H, P46
  • [8] FREE-VIBRATION OF COMPLEX CABLE/MASS SYSTEMS - THEORY AND EXPERIMENT
    LIN, HP
    PERKINS, NC
    [J]. JOURNAL OF SOUND AND VIBRATION, 1995, 179 (01) : 131 - 149
  • [9] Approximate analytic solution of a class of atmosphere-ocean coupled oscillator mechanism for globe climate
    Lin Wan-Tao
    Mo Jia-Qi
    [J]. ACTA PHYSICA SINICA, 2008, 57 (05) : 2633 - 2637
  • [10] Homotopic mapping method for solving a class of Lorenz system
    Mo Jia-Qi
    Lin Wan-Tao
    [J]. ACTA PHYSICA SINICA, 2008, 57 (11) : 6694 - 6698