收录:
摘要:
Multi-pulse homoclinic orbits and chaotic dynamics of a supercritical composite panel with free layer damping treatment in subsonic flow are investigated considering one to two internal resonance. Inviscid potential flow theory is employed to exhibit the aerodynamic pressure and Kelvin's model is used to describe the viscoelastic property of the free damping layer. By Hamilton's principle, the governing equation of the composite panel in the subcritical regime is derived. In the supercritical regime, the buckling configuration is solved analytically and the PDE is obtained by introducing a displacement transformation for nontrivial equilibrium configuration. Then the governing equation in the first supercritical region is transformed into a discretized nonlinear gyroscopic system via assumed modes and then Galerkin's method. The method of multiple scales and canonical transformation are applied to reduce the equations of motions to the near-integrable Hamiltonian standard forms. The Energy-Phase method is employed to demonstrate the existence of chaotic dynamics by identifying the existence of multipulse jumping orbits in the perturbed phase space. The global solutions are finally interpreted in terms of the physical motion of the gyroscopic continua and the dynamical mechanism of chaotic pattern conversion between the forward traveling wave motion and the complex bidirectional traveling wave motion are discussed. (C) 2016 Elsevier Ltd. All rights reserved.
关键词:
通讯作者信息:
电子邮件地址:
来源 :
COMPOSITE STRUCTURES
ISSN: 0263-8223
年份: 2017
卷: 159
页码: 288-298
6 . 3 0 0
JCR@2022
ESI学科: MATERIALS SCIENCE;
ESI高被引阀值:287
中科院分区:3
归属院系: