收录:
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, nonlinear dynamic characteristics of the string-beam coupled system are studied through a numerical method based on the averaged equation. The phase portrait, Poincare map and power spectrum are plotted to demonstrate that the periodic and chaotic motions exist in the string-beam coupled system under certain conditions.
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通讯作者信息:
来源 :
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN: 0218-1274
年份: 2009
期: 1
卷: 19
页码: 225-243
2 . 2 0 0
JCR@2022
ESI学科: MATHEMATICS;
JCR分区:2
中科院分区:1