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首页> 外文会议>IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity Jul 16-20, 2000 Manchester, United Kingdom >A NEW CLASS OF POINT MODELS IN DIFFRACTION BY THIN ELASTIC PLATES
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A NEW CLASS OF POINT MODELS IN DIFFRACTION BY THIN ELASTIC PLATES

机译：薄弹性板在衍射中的新一类点模型

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摘要

The generalized point models were considered for two-dimensional problems of diffraction by fluid loaded plates with small obstacles. In these models additionally to classical boundary-contact conditions an additional condition was specified for the logarithmic derivative of the acoustic field in the central point of the obstacle. The parameter S in this condition was noted independent of the general parameters of the boundary value problem. It is defined only by the width of a gap in the plate. As it was mentioned above this fact allows the parameter S to be chosen from the analysis of a simpler problem for absolutely rigid plate. The other advantage of the parametrization in the form (28.11) is the possibility to extend the model to the case of dynamic problems (nonstationary) and to three-dimensional problems with translational symmetry. The method of zero-range potentials allows three-dimensional defects in fluid loaded plates to be modelled in a similar manner. See e.g., where the model of a short crack is introduced, and [11] for the model of a round hole.
机译：考虑了广义点模型，以解决带有小障碍的流体加载板的二维衍射问题。在这些模型中，除了经典的边界接触条件外，还为障碍物中心点处的声场的对数导数指定了附加条件。注意到在此条件下的参数S与边界值问题的一般参数无关。它仅由板上间隙的宽度定义。如上所述，这一事实使得可以从对绝对刚性板的更简单问题的分析中选择参数S。参数化形式（28.11）的另一个优点是可以将模型扩展到动态问题（非平稳）和具有平移对称性的三维问题的情况。零范围电势方法允许以类似方式对流体加载板中的三维缺陷进行建模。参见，例如，引入短裂纹的模型，以及[11]圆孔的模型。

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