NONLINEAR RESPONSES OF A STRING-BEAM COUPLED SYSTEM WITH FOUR-DEGREES-OF-FREEDOM AND MULTIPLE PARAMETRIC EXCITATIONS
作者: D. X. CAOW. ZHANG
作者单位: 1College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, P. R. China
刊名: International Journal of Bifurcation and Chaos, 2009, Vol.19 (1), pp.225-243
来源数据库: World Scientific Publishing
DOI: 10.1142/S0218127409022841
关键词: String-beam coupled systemchaotic motionsnumerical simulationPoincare mappower spectrum
原始语种摘要: The nonlinear dynamic responses of a string-beam coupled system subjected to harmonic external and parametric excitations are studied in this work in the case of 1:2 internal resonance between the modes of the beam and string. First, the nonlinear governing equations of motion for the string-beam coupled system are established. Then, the Galerkin's method is used to simplify the nonlinear governing equations to a set of ordinary differential equations with four-degrees-of-freedom. Utilizing the method of multiple scales, the eight-dimensional averaged equation is obtained. The case of 1:2 internal resonance between the modes of the beam and string — principal parametric resonance-1/2 subharmonic resonance for the beam and primary resonance for the string — is considered. Finally,...
全文获取路径: World Scientific Publishing 
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关键词翻译
关键词翻译
  • resonance 共振
  • coupled 耦合
  • modes 模式
  • nonlinear 非线性的
  • parametric 子宫旁的
  • string 细绳
  • governing 管理
  • dynamic 动力学的
  • studied 学习
  • portrait 影像