工程力学
工程力學
공정역학
ENGINEERING MECHANICS
2001年
2期
14-20
,共7页
薄板%边界元法%弯曲波的散射%动应力集中
薄闆%邊界元法%彎麯波的散射%動應力集中
박판%변계원법%만곡파적산사%동응력집중
本文采用边界元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。
本文採用邊界元法對開孔無限大薄闆彈性波的散射與動應力集中問題進行理論分析和數值計算。基于動力學功的互等定理建立瞭薄闆彎麯波動問題的邊界積分方程，應用Mathematica軟件首次推導瞭各影響繫數的計算公式。最後，給齣瞭圓孔附近的動應力集中繫數的數值結果。
본문채용변계원법대개공무한대박판탄성파적산사여동응력집중문제진행이론분석화수치계산。기우동역학공적호등정리건립료박판만곡파동문제적변계적분방정，응용Mathematica연건수차추도료각영향계수적계산공식。최후，급출료원공부근적동응력집중계수적수치결과。
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 element method. Based on the reciprocal-work theorem of dynamics, the boundary integral equation for flexural waves of thin plate is established. Using the software Mathematica, the formulas of influence coefficients are derived. Numerical results for the dynamic stress concentration factors in the thin plate with a circular hole are given.
