弯曲波对含多圆孔薄板的散射与动应力集中  

Dynamic stress concentration in multi-cutouts-contained thin plates subjected to flexural waves

作　　者：赵嘉喜[1] 刘殿魁 齐辉[1] 杨在林[1] 

机构地区：[1]哈尔滨工程大学航天与建筑工程学院,黑龙江哈尔滨150001

出　　处：《爆炸与冲击》2008年第6期552-556,共5页Explosion and Shock Waves

基　　金：黑龙江省自然科学基金项目(A0206)

摘　　要：采用复变函数法和多极坐标方法,研究了弯曲波对含有多圆孔薄板的散射问题。通过板的弯曲波动方程和内力方程的推导,求出在入射弯曲波条件下该问题的一般解的函数逼近序列和边界条件的表达式。用展开正交函数的方法将待解的问题归结为对一组无穷代数方程组的求解。最后,给出了含3圆孔薄板的孔边动应力集中系数的结果,并分析了孔间距和波数对动应力分布的影响。Scattering of flexural waves by multiple cutouts and dynamic stress concentration in the thin plates were investigated in terms of the complex variable function method and multi-polar coordinates. The expressions of function approach sequences and condition boundary for the general solution to this problem were proposed by deducing the bending motion equations of the plates. It was solved as a series of infinite algebraic equations by expanding the orthogonal functions. The dynamic moment factors of the plates with three circular cutouts were numerically presented, and the influences of paces between circular cutouts and wave number on dynamic stress distribution were analyzed.

关 键 词：固体力学 动应力集中 复变函数法 多圆孔薄板 多极坐标 

分 类 号：O347.2[理学—固体力学]