双非线性四边形平面应力单元分析石拱桥的极限承载力  

Geometrical and Material Nonlinear Quadrilateral Plane Stress Element for Ultimate Bearing Capacity of Stone Bridges

作　　者：胡柏学 邓继华[2] 谢海秋 李跃军 

机构地区：[1]湖南省交通科研所,湖南长沙410000 [2]长沙理工大学,湖南长沙410000

出　　处：《湖南科技大学学报（自然科学版）》2007年第3期76-80,共5页Journal of Hunan University of Science And Technology：Natural Science Edition

基　　金：交通部西部交通建设科研资助项目(200431878518)

摘　　要：采用共旋坐标法导出了四边形平面应力单元在大转动、小应变条件下的几何非线性和材料非线性的单元切线刚度矩阵;在此基础上编制相应的有限元FORTRAN程序;对交通部公路桥涵标准图中的23个单跨石拱桥的计算与分析表明:共旋坐标法四边形平面应力单元的列式、程序和求解器具有较强的非线性分析能力,能较好地分析石拱桥受力全过程的非线性性能.该计算结果提供了对中小跨度石拱桥非线性性能的更多的了解,可供工程设计人员参考.A tangent stiffness matrix for quadrilateral plane stress element under large rotation with small strain was proposed. Based on this theory, a FORTRAN program was developed. Computations for 23 typical stone arch bridges of the Standard Design of Highway Bridges ＆ Culverts. of the Communication Ministry were verified that the element＇s formulation, the program and the solver in this work have strong nonlinear computation ability, and are able of analyzing nonlinear behavior of stone arch bridges. Computations presented reflect preferably a comprehensive understanding of nonlinear characteristics of stone arch bridge of small span, could be beneficial for the engineer designers. 8figs., ltab.,10refs.

关 键 词：石拱桥 共旋坐标法 有限元 位移增量法 几何非线性 材料非线性 

分 类 号：U446[建筑科学—桥梁与隧道工程] U448.32[交通运输工程—道路与铁道工程]