含孔板壳结构弹性波散射与动应力集中问题的研究

Based on the wave equations of von Karman plates and Donnell shallow shells, using perturbation method and principle of harmonic balance, the elastic wave scattering and dynamic stress concentrations are analyzed. It can be seen that super harmonic wave scattering exists in von Karman plates du to the coupling of bending moments with membrane stresses. An intergral equation method for solving elastic wave scattering in Donnell shallow shells is established, based on which the effects of curveture on wave scattering are analysed and disscused..Using the Hamilton formulation, the solution of the vibration of plate structures is investigated. Emploing the transfer matrix method, the elastic wave guide and localization in periodic structures are investigated, based on which the effects of mismatch perameters on localization of elastic.wave and vibration are structure of analysed.

基于板壳结构弹性波动方程，利用摄动方法，研究板壳开孔动应力集中问题。建立求解动应力集中系数的分析方法，设计出结构动强度的计算程序。给出典型结构开孔动应力集中系数的数值结果。该项研究可望为复合材料板壳结构的动应分析及强度设计，提供一种统一规范的方法，完善和强化有关的工程板壳结构动强度的设计规范。