一种超静定梁变形的求解方法及快速实现  

On the Solution to Statically Indeterminate Beam′s Deformation and Its Quick Realization

作　　者：鲍四元[1] 王嘉航[1] 

机构地区：[1]苏州科技学院土木工程学院,江苏苏州215011

出　　处：《常州工学院学报》2010年第1期1-4,共4页Journal of Changzhou Institute of Technology

基　　金：院博士启动基金项目(ust20082058)

摘　　要：类似弹性力学中求解板弯曲问题的方法,以挠度为自变量,建立四阶微分方程,然后通过满足基本方程和边界条件直接求出超静定梁各段的挠曲线方程,从而静定梁和超静定梁可按统一的方式求解挠曲线。同时给出该方法基于计算机软件的快速实现。文中工作扩大了积分法的应用范围,并与后续弹性力学课程中求解板挠度的方法相互对照,加深了对固体力学的边值问题的理解。Similar to the method of solving the plate bending problem in Elasticity Mechanics,the forth-order differential equation is established based on the variable of deflection,then the deflection expressions of each segment are solved directly by the fundamental equations and the boundary conditions,so the deflection curves can be solved for statically determinate beam and statically indeterminate beam.The quick realization of the presented method by software is also shown.The work extends the application of the integration method,and compares the method of solving the plate bending problem in Elasticity Mechanics.The boundary value problem in Solid Mechanics can be understood more deeply.

关 键 词：超静定梁 挠度 积分法 计算机解法 

分 类 号：TU311.4[建筑科学—结构工程]