开孔薄板弹性波散射与动应力集中

SCATTERING OF ELASTIC WAVE AND DYNAMIC STRESS CONCENTRATIONS IN THE THIN PLATE WITH A CIRCULAR HOLE

  • 摘要: 本文采用边界无法对开孔无限大薄板弹性波的散射与动应力集中问题进行理论分析和数值计算。基于动力学功的互等定理建立了薄板弯曲波动问题的边界积分方程,应用Mathematica软件首次推导了各影响系数的计算公式。最后,给出了圆孔附近的动应力集中系数的数值结果。

     

    Abstract: This paper deals with theoretical and numerical analyses of scattering of elastic wave and dynamic stress concentrations in an infinite thin plate with a circular hole using boundary boundary method Based on the reciprocal-work theorem of dynamics, the boundary integral equation for flexural waves of thin pate is established Using the software Mathematica, the formulas of influence coefficients are derived. Numericalresults for the dynamic Stress concentration factors in the thin plate with a circular hole are given

     

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