半平面体在边界上受法向三角形分布荷载的应力分量  

The Stress Component of A Semi-plane Body Subject to a Normal Triangular Distributed Load on its Boundary

作　　者：陈彦 孙云 CHEN Yan;SUN Yun(Yangzhou Polytechnic College,Yangzhou 225000,China;Yangzhou University,Yangzhou 225000,China)

机构地区：[1]扬州职业大学,江苏扬州225000 [2]扬州大学,江苏扬州225000

出　　处：《扬州职业大学学报》2022年第4期35-37,共3页Journal of Yangzhou Polytechnic College

基　　金：国家自然科学基金资助项目(12102380)。

摘　　要：根据半平面体在边界上受法向分布力的积分公式,运用换元法将对直角坐标的积分转化为对直线倾斜角的积分,计算半平面体在边界上受法向三角形分布荷载的三个应力分量,对积分结果进行变量整体代换和运用三角函数万能公式简化,最后将三个应力分量全部表示成仅以两条直线斜率为自变量的函数表达式,结果形式直观简洁,方便工程计算。According to the integral formula of the normal distribution force on the boundary of the semi-plane body,the integral of the rectangular coordinates is converted into the integral of the straight line inclination angle by the method of substitution,and the three stress components of the half plane subject to the normal triangular distributed load on its boundary are calculated.The integral results are simplified by using the overall substitution of variables and the universal formula of trigonometric functions,and finally all three stress components are expressed as function expressions with only the slopes of two straight lines as independent variables.The resulting forms are straightforward and simple,which is convenient for engineering calculation.

关 键 词：半平面体 换元法 三角形分布荷载 应力分量 三角函数万能公式 

分 类 号：O343[理学—固体力学]