科研之友
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摘要
Based on the theory of elastic thin plates and applying image method and wave function expansion method, the multiple scattering of flexural waves and dynamic stress concentration from two cutouts in a semi-infinite thin plate are investigated, and the analytical solutions of this problem are obtained. The semi-infinite plate with roller-supported boundary is considered. The addition theorem for Bessel functions is employed to accomplish the translation of wave fields between different local coordinate systems. As an example, the numerical results of dynamic stress concentration factors are graphically presented and discussed. Numerical results show that the analytical results of the scattered waves and dynamic stress in the semi-infinite plate are different from those in infinite plates when the distance between the cutouts and the semi-infinite edge is smaller. In different region of incident frequency, the effects of the distance between the cutouts and the semi-infinite edge and the distance between the two cutouts show great difference. The effects of them on the dynamic stress at different positions around the cutouts are also examined.
