含多椭圆孔无限大各向异性薄板弯曲问题研究  

STRESS ANALYSIS OF ANISOTROPIC INFINITE THIN PLATE WITH MULTIPLE ELLIPTICAL HOLES

作　　者：毛春见[1] 许希武[1] 郭树祥[1] 

机构地区：[1]南京航空航天大学机械结构力学及控制国家重点实验室,南京210016

出　　处：《工程力学》2012年第9期80-86,共7页Engineering Mechanics

基　　金：国家自然基金项目(10672075)

摘　　要：该文利用各向异性体弹性理论中的复势方法,以Faber级数和保角映射为工具,对含多椭圆孔无限大各向异性薄板弯曲问题进行分析,得到了含多椭圆孔无限大各向异性薄板弯曲的级数解形式,给出了无限大薄板在受到弯曲载荷时孔边的应力分布,并讨论了孔距、孔的数量、排列方式、椭圆度、材料的各向异性对孔边应力分布的影响,得到了有益的结论。该方法具有计算精度高、收敛速度快、方便快捷等优点。Using the complex potential method in the bending theory of elasticity for an anisotropic body, the stress distribution in an infinite plate containing multiple elliptical holes is proposed with the help of Faber series expansion and conformal mapping. The effects of the relative distance between holes, total number of holes, the ellipt/city of holes and the material system of the plate are studied in detail. Some useful conclusions are drawn. Results indicate that the present method has many advantages such as high accuracy, good convergence and great convenience.

关 键 词：无限大薄板弯曲 各向异性 多椭圆孔 复势方法 Faber级数 

分 类 号：O343.8[理学—固体力学]