基于文献[8]给出的平板弯曲振动精确化方程，对含圆孔平板中弹性波散射与动应力集中问题进行了研究．文中给出了分别基于Mindlin板与精确化板方程在不同参数下圆孔动弯矩集中系数的数值结果，并对结果进行了对比分析和讨论．结果表明：在较低频率和薄板情况下，基于文献[8]的方程与基于Mindlin板理论得到的动弯矩结果是基本一致的；在较高频率和厚板情况下，基于文献f81的方程与基于Mindlin板理论的动弯矩结果相差较大，最大值超出可达16％．由于文献[8]给出的平板振动精确化方程是在没有任何工程假设条件下得到的，因此其分析计算结果更精确一些．%In this paper, based on the refined dynamic equation of plate bending, elastic wave scattering and dynamic stress concentrations in plates with a circular cutout were studied. Numerical results of dynamic moment concentration factors at the edge of cutouts in plates were obtained at given parameters by the Mindlin theory and the refined equation of plates, respectively. The comparison of the numerical results was made and discussed. It is shown that at a higher frequency, the numerical results, which are from the Mindlin theory and the refined theory, respectively, are different. Especially, as the cutout radius ratio to the thickness a/h is smaller 0.10, using the refined equation, the dynamic moment factor may approach to the maximum value, which is over 16% compared to that from Mindlin theory. The results are more accurate because the refined equation is derivative without using any engineering hypotheses.
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