用弯矩分量求三次样条插值函数的弯矩  

The moment component for moment of cubic spline interpolation function

作　　者：刘远鹏[1] 刘光好[2] 金少华[3] 

机构地区：[1]河北工业大学工程训练中心,天津300401 [2]河北工业大学土木工程学院,天津300401 [3]河北工业大学理学院,天津300401

出　　处：《河北工业大学学报》2016年第4期93-98,共6页Journal of Hebei University of Technology

基　　金：河北省高等学校科学技术研究重点项目(ZD2014051)

摘　　要：根据参考弯矩图解法原理,将相邻节点函数差和节点函数的导数变换为侧移分量和转角分量.利用各区间转角分量、侧移分量与函数的二阶导数形成弯矩-位移方程,以及连续梁支座相邻两跨转角方程,结合连续梁弯矩图的性质分析样条插值函数,做参考弯矩图;由此得到三次样条插值函数的支座弯矩.通过算例说明未知量参考弯矩图、荷载参考弯矩图、转角分量图和侧移分量图的使用方法.According to theory ofreference bending moment, thedifferenceoffunctionatpointbetweenneighborpoints and derivative of function at node are translated into sideway component and angle component. The sideway component, angle component and the second derivative of the function assemble moment-deflection formula in each section. The mo- ment-deflection formula and the comer equation between adjacent span on continuous beam combined with reference ben- ding moment diagram are used for solving Cubic Spline Interpolation function. The example in article illustrates using methods of the load reference bending moment diagram, the unknown reference bending moment, the sideway component and the angle component diagram for solving.

关 键 词：特征点 转角分量 侧移分量 参考弯矩图 三次样条插值函数 

分 类 号：TU311.4[建筑科学—结构工程]