建立了有限变形条件下，粘弹性基础上考虑高阶横向剪切效应粘弹性板的动力学行为的数学模型；
The nonlinear dynamic stability of viscoelastic plates with finite deformations and takingaccount of higher-order shear deformation effects is discussed.
设粘弹性板的轴向运动速度为常平均速度与简谐涨落的叠加，建立轴向加速运动粘弹性矩形薄板的运动微分方程。
The axially moving speed is a simple harmonic fluctuation about a constant mean speed, the differential equation of motion of axially accelerating viscoelastic plate is established.
通过算例研究和讨论了粘弹性边界支承对板的振动响应的影响。
Effects of the viscoelastic boundary supports on the vibration response of the vibrating plate are discussed by an example.
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