基于广义阶梯函数解矩形域的纵向剪切问题  

A Solution to the Problem of the Longitudinal Shear of Rectangular Region Based on Generalized Step Function

作　　者：王钟羡[1] 刘志明[1] 苏虹[1] 

机构地区：[1]江苏理工大学理学院,江苏镇江212013

出　　处：《江苏理工大学学报（自然科学版）》2001年第4期83-86,共4页Journal of Jiangsu University of Science and Technology(Natural Science)

摘　　要：根据弹性力学的基本原理 ,建立了矩形域在边界上受纵向剪切载荷的牛曼 (New mann)问题 ;应用广义阶梯函数来表示载荷 ,然后再将其展开成傅立叶级数形式 ,推导出纵向剪切问题的位移计算公式 .结合载荷的可能分布形式 ,给出了几种情况下位移及剪应力的表达式 .此解答在工程中有一定的理论及实际意义 .According to the fundamental theory of elasticity , the Newmann problem of the rectangular region with longitudinal shear load is set up ;The Fourier series of load is given by using generalized step function and the displacement formula of the longitudinal shear problem is derived . In this paper , the expressions of the displacement and the shear stress are presented according to the possible form of the longitudinal load. This solution is of some academic and practical significance.

关 键 词：纵向剪切 广义阶梯函数 矩形域 弹性力学 矩形截面构件 

分 类 号：O343[理学—固体力学] O177[理学—力学]