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摘要:
The nonlinear vibrations of composite laminated plates with time- dependent base excitation and boundary conditions are investigated. According to the von Karman nonlinear plate theory, the dynamic equations of motion of the laminated plates are established. The nonlinear partial differential equations are transformed to the nonlinear ordinary differential ones using the BubnovGalerkin's method. The primary resonance and the primary parametric resonance of the laminated plate with timedependent boundary conditions are investigated by means of the method of multiple scales. The validity of the present theoretical method is verified by comparing the amplitudefrequency relationship curves acquired from the present theoretical method with those calculated from the numerical simulation. The amplitude- frequency characteristic curves and the displacement time histories for different ply angles of the composite laminated plate are analyzed. The effects of the viscous damping factor and the transverse displacement excitation on the amplitude- frequency relationship curves are also studied. The present results are helpful for the nonlinear dynamical analysis and design of the composite laminated plate with time- dependent boundary conditions.
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来源 :
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
ISSN: 1565-1339
年份: 2017
期: 2
卷: 18
页码: 145-161
1 . 5 0 0
JCR@2022
ESI学科: ENGINEERING;
ESI高被引阀值:92
中科院分区:3
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