Studies on Bifurcation and Chaos of a String-Beam Coupled System with Two Degrees-of-Freedom
作者: W. ZhangD. X. Cao
作者单位: 1College of Mechanical Engineering, Beijing University of Technology
刊名: Nonlinear Dynamics, 2006, Vol.45 (1-2), pp.131-147
来源数据库: Springer Nature Journal
DOI: 10.1007/s11071-006-2423-5
关键词: bifurcationchaosfrequency–response curvePoincare mapstring-beam coupled system
英文摘要: Abstract(#br)In this paper, research on nonlinear dynamic behavior of a string-beam coupled system subjected to parametric and external excitations is presented. The governing equations of motion are obtained for the nonlinear transverse vibrations of the string-beam coupled system. The Galerkin's method is employed to simplify the governing equations to a set of ordinary differential equations with two degrees-of-freedom. The case of 1:2 internal resonance between the modes of the beam and string, principal parametric resonance for the beam, and primary resonance for the string is considered. The method of multiple scales is utilized to analyze the nonlinear responses of the string-beam coupled system. Based on the averaged equation obtained here, the techniques of phase portrait,...
全文获取路径: Springer Nature  (合作)
影响因子:3.009 (2012)