用配点法计算多孔弹性平板弯曲或扭转应力集中问题  

The Calculation of Lacunaris Elastic Plane Bending or Torsioning Stress Concentration Problem by Collocation Method

作　　者：曲焱喆[1] 盖秉政[1] 吴佳[2] 

机构地区：[1]哈尔滨工业大学航天学院,黑龙江哈尔滨150001 [2]哈尔滨工业大学材料科学与工程学院,黑龙江哈尔滨150001

出　　处：《哈尔滨理工大学学报》2006年第6期38-40,44,共4页Journal of Harbin University of Science and Technology

摘　　要：应用弹性力学复变函数理论,采用多保角变换方法,推出了含有任意多孔无限大平板弯曲或者扭转的多复变量弯曲应力函数表达式.在边界上采用配点法来确定弯曲应力函数的未知系数来计算弹性板应力场.以大小和位置是任意的椭圆孔为例,编制相应的计算程序,进行了算例分析.结果表明,本方法计算精确度高,程序使用简单,便于应用.The expressions of multiple complex variable flexure stress function of a infinite plane with arbitrary holes are derived by using the theory of complex variable functions and multiple conformal mapping transformation, The boundary is processed with collocation method, through which, the unknown factors of the flexure stress functions are obtained to calculate the stress field of the elastic plane. For a plane with arbitrary size and location ellipse holes, a program is designed to calculate the stress functions. The cases analysis shows this method has high accuracy, the program is also simple and convenient for practical application. So the method is proved effective.

关 键 词：弹性板 孔 弯曲 扭转 边界配点法 

分 类 号：O343[理学—固体力学]