含孔曲板弹性波散射与动应力分析　

ELASTIC WAVE SCATTERING AND DYNAMIC STRESS IN CURVED PLATES WITH A CUTOUT

基于敞口浅柱壳弹性波动方程及摄动方法,对无限大含孔曲板弹性波散射及动应力问题进行了分析研究.将经典薄板弯曲波动问题的分析解作为本问题的主项,给出了在稳态波下孔洞附近散射波的零阶渐近解.建立了求解含孔曲板弹性波散射与动应力问题的边界积分方程法,利用积分方程法可获得问题的近似分析解.并给出了无限大曲板圆孔附近动应力集中系数的数值结果,且对计算结果进行了分析与讨论.

Based on the equations of motion of open shallow cylindrical shells, using small parameter perturbation method, elastic wave scattering and dynamic stress concentrations of infinite curved plates have been studied. Taken the solution of classical thin plates as main terms of the solution of the problem, the approximate solutions of scattered wave from the cutout in shallow cylindrical shells under the action of steady flexural wave have been gained. A boundary integral method to solve the problem of elastic wave scattering and dynamic stress concentrations of infinite open cylindrical shells has been established. With this method, one can finally get the approximately analytical solution. The computational formula of dynamic stress concentration factors around small cutouts is developed. As examples, the numerical results of these dynamic stress concentration factors are graphically presented and discussed. The computational formula can be used to solve the wave motion of low frequency in plates and shells with small cutouts.