基于三角面积坐标法的纤维梁-柱单元研究  

Research on Fiber Beam- Column Units Based on Triangle Area Coordinate Method

作　　者：廖敬波[1] 唐光武[1] 刘怀林[2] 

机构地区：[1]桥梁工程结构动力学国家重点实验室,重庆400067 [2]招商局重庆交通科研设计院有限公司,重庆400067

出　　处：《公路交通技术》2015年第1期30-33,共4页Technology of Highway and Transport

基　　金：交通运输部西部交通建设科技项目(2013319740080);重庆市科技人才培养计划资助项目(cstc2014kjrc-qnrc30003)

摘　　要：借助三角面积坐标法对三角形网格内的纤维应变和纤维应力进行线性插值,利用三角面积坐标的数值特性对纤维梁-柱单元截面刚度矩阵中除扭转项外的其余项进行解析推导,并得出纤维梁-柱单元截面抗力的近似表达式。数值研究表明:对于具有相同纤维单元数的纤维梁-柱单元,三角面积坐标法可以提高算法的计算精度。This paper performs linear interpolation for fiber strain and stress in triangular grids with the help of the triangle area coordinate method,analyzes and derives the other items than torsion items in sectional stiffness matrix of fiber beam- column units by means of numeric characteristics of triangle area coordinates,and obtains approximate expression for sectional resistance of fiber beam- column units. The numeric research shows that the triangle area coordinate method can improve computational accuracy of algorithm for fiber beam- column units with the same number of fiber units.

关 键 词：三角面积坐标 纤维梁-柱单元 截面刚度矩阵 截面抗力 

分 类 号：U442.3[建筑科学—桥梁与隧道工程]