水下爆炸冲击波作用下空气背衬平板的运动

运用一维平面波理论，得到了空气背衬平板对水下爆炸冲击波响应的波动理论公式。通过比较波动理论公式与Taylor公式的计算结果，表明二者在平板波阻抗远大于水介质时具有很好的一致性。但是当平板的弹性模量和密度减小时，Taylor公式的误差增大，而波动理论公式则仍具有很好的精确性。相同质量的平板在相同的水下爆炸冲击波作用下的最大速度与平板的弹性模量和密度成反比，而不同厚度的钢板对相同水下爆炸冲击波响应的计算结果表明，平板的厚度与最大速度成反比，但增加平板厚度并不能达到很好的隔振效果。

Movement of Air Backed Plane Plates Subjected to Shock Wave of Underwater Explosion

The wave theoretical formulae about the response of air backed plane plate to the shock wave of underwater explosion were got by applying one dimension plane wave theory.By comparing the wave theory formulae with the Taylor formula,it shows that two results are coincident when the impedance of plate is far higher than that of water.As the elastic modulus and density of plate decrease,the error of Taylor formula increases,but the wave theoretical formulas are still accurate.If the mass of plate and the shock wave of underwater explosion are fixed,the maximum velocity of plate is inversely proportional to the elastic modulus and density of plate.By comparing the responses of plates with different thicknesses to the same shock wave of underwater explosion,it is shown that the maximum velocity of plate is inversely proportional to the thickness of plate,but a good vibration isolation effect can be reached by increasing the thickness of plate.