小内力平板弹性波散射问题的摄动方法  

Perturbation Methods to Scattering of Elastic Waves in Thin Plates with Small Internal Forces

作　　者：胡超[1,2] 赵兴华[1,2] 马兴瑞 黄文虎[1,2] 

机构地区：[1]上海大学应用数学和力学研究所 [2]哈尔滨工业大学航天工程与力学系

出　　处：《应用力学学报》1999年第2期37-41,共5页Chinese Journal of Applied Mechanics

摘　　要：基于平板小挠度弯曲波动方程，采用摄动方法对具有纵向内力作用下的平板开孔弹性波的散射问题进行了研究，得到了传播稳态波时此种平板弯曲波动问题的分析解。分析了均匀纵向内力对弹性波散射结果的影响。作为算例，本文给出了平板圆形开孔的动应力集中系数的数值结果，并对计算结果进行了讨论。In this paper, based on the governing equation for flexural waves of thin plates, scatterring of elastic waves by cutouts and dynamic stress concentrations in the plate have been studied. A perturbation method to solve dynamic stress concentrations in the plate with small internal forces is proposed. The effect of membrane forces on dynamic stress concentration factors has been analyzed. Numerical results for dynamic moment factors of plates with a circular cutout are presented.

关 键 词：平板 开孔 内力 弹性波散射 动应力集中 摄动方法 

分 类 号：O347.41[理学—固体力学]