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摘要:
The nonlinear oscillations and chaotic motion of a simply supported angle-ply composite laminated rectangular thin plate with parametric and external excitations were investigated, an asymptotic perturbation method was presented based on Fourier expansion and temporal rescaling to solve the ordinary differential equation of the system. According to Reddy's third-order plate theory, the governing equations of motion for the angle-ply composite laminated rectangular thin plate were derived by using Hamilton's principle. Then, Galerkin procedure was applied to the partial differential governing equation to obtain a 2-DOF nonlinear system including quadratic and cubic nonlinear terms. Such equations were utilized to deal with the resonant case of 1: 1 internal resonance and primary parametric resonance-1/2 subharmonic resonance. Based on the averaged equation obtained with the asymptotic perturbation method, the phase portrait and power spectrum were used to analyze the multi-pulse chaotic motions of the angle-ply composite laminated rectangular thin plate. Under certain conditions, the different periodic and various chaotic motions were found in the angle-ply composite laminated rectangular thin plate.
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来源 :
Journal of Vibration and Shock
ISSN: 1000-3835
年份: 2012
期: 19
卷: 31
页码: 174-179
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