Zhang Nianmei, Yang Guitong. Subharmonic and Ultra-Subharmonic Response of Nonlinear Elastic Beams Subjected to Harmonic Excitation[J]. Applied Mathematics and Mechanics, 1999, 20(12): 1224-1228.
Citation: Zhang Nianmei, Yang Guitong. Subharmonic and Ultra-Subharmonic Response of Nonlinear Elastic Beams Subjected to Harmonic Excitation[J]. Applied Mathematics and Mechanics, 1999, 20(12): 1224-1228.

Subharmonic and Ultra-Subharmonic Response of Nonlinear Elastic Beams Subjected to Harmonic Excitation

  • Received Date: 1998-09-15
  • Rev Recd Date: 1999-09-05
  • Publish Date: 1999-12-15
  • In this paper the dynamics response of beams subjected to transverse harmonic excitation is studied.The nonlinearity of constitutive relations of the beam material is considered.When the buckled beams compressed by axial forces are subjected to transverse period perturbation,the harmonic bifurcates into subharmonic and ultra-subharmonic sequences.The critical conditions for subharmonic and ultra-subharmonic orbits are determined by use of Melnikov method.
  • loading
  • [1]
    Tseng W Y, Dugunkjl J. Nonlinear vibrations of a beam under harmonic excitation[J]. J Appl Mech,1970,37(2):292~297.
    [2]
    Tseng W Y, Dugunkjl J. Nonlinear vibrations of a beam under harmonic excitation[J]. J Appl Mech,1971,38(1):467~476.
    [3]
    Baran Danida Dinca. Mathematical models used in studying the chaotic vibration of buckled beam[J]. Mechanics, Research Communications,1994,21(2):189~196.
    [4]
    Koch B P, Leven R W. Subharmonic and homoclinic bifurcation in a parametrically forced pendulum[J]. Physica D,1985,16:1~13.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2126) PDF downloads(559) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return