连续深梁的自重应力  

Stresses in Continuously Supported Deep Beam Due To Dead Weight

作　　者：王桂芳[1] 

机构地区：[1]成都科技大学工程力学系

出　　处：《成都科技大学学报》1993年第1期53-61,共9页

摘　　要：本文讨论连续深梁在自重作用下的应力分析问题.利用体积应变函数将耦联的控制偏微分方程组解耦成为非耦联的,然后利用有限积分变换法求解所得非耦联的控制微分方程,从而得到给定问题的解答。本文所述方法可用以求解具有其他边界条件和载荷的深梁的应力分析问题.文末对连续深梁的自重应力进行了数值计算,并与有限元法结果进行了比较,二者吻合良好。This paper deals with stress analysis of continuously supported deep beam subjected to dead weight.First of all,by making use of dilatation function the coupled governing partial differential equations are made uncoupled.Then the finite integral transform,technique is used for solving the uncoupled gove- rning partial differential equations.Finally a solution satisfying all field equ- ations and boundary conditions to the given problem is obtained.The method proposed in this paper can be used for determining stresses in deep beams with other boundary conditions and loads.At the end of the paper the numerical results of a continuously supported deep beam subjected to dead weight by ana- lytical solution are carried out and compared with the results obtained by fin- inite element method.The comparation shows that both results have good agr- eement.

关 键 词：连续 求解 微分方程 边界条件 有限 数值计算 函数 深梁 自重应力 体积应变 

分 类 号：O172[理学—数学] TU375[理学—基础数学]