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首页> 外文期刊>Applied Acoustics >Effects of the thickness on the stability of axially moving viscoelastic rectangular plates
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Effects of the thickness on the stability of axially moving viscoelastic rectangular plates

机译：厚度对轴向移动粘弹性矩形板稳定性的影响

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摘要

The differential quadrature method is employed to solve the differential equation governing the in-plane moving rectangular viscoelastic plate with concave or convex cross sections. The boundary conditions of the plate are specified as simply supported-free (SFSF) and clamped-simply supported (CSCS). Plots showing the influence of the cross section's form on the plate's stability are presented and it is observed that the plate generally undergoes divergence instability but coupled mode instability also occurs for SFSF boundary conditions. Coupled mode instability appears when the cross-section is convex or varies linearly. Also, the increase of the thickness ratio plays an increasing role on the critical instability values of the moving speed.
机译：采用微分求积法求解控制具有凹或凸截面的面内移动矩形粘弹性板的微分方程。板的边界条件指定为简单无支撑（SFSF）和钳制简单支撑（CSCS）。给出了显示横截面形状对板稳定性的影响的图，并且观察到，板通常经历发散不稳定性，但是对于SFSF边界条件，也会发生耦合模式不稳定性。当横截面为凸形或线性变化时，会出现耦合模式不稳定性。而且，厚度比的增加在移动速度的临界不稳定性值上起着越来越重要的作用。

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