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程序;对有解析解的例题计算表明,提出的共旋坐标法四边形平面应力单元的列式、程序具有较强的非线性分析能力;还对单跨石拱桥进行了受力全过程分析,计算结果提供了对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 is proposed in this paper,The corresponding program based on this theory has been worked out,The computation of examples with analytic values has verified that the element＇s formulation, its program given in this paper have strong nonlinear computation ability; A nonlinear whole-course analysis of stone arch bridge has been done in this paper. The computations presented preferably a comprehensive understanding of nonlinear characteristics of stone arch bridge with small span and could be beneficial for the engineer designers.
出处
《重庆建筑大学学报》
EI
CSCD
北大核心
2007年第3期83-87,共5页
Journal of Chongqing Jianzhu University
关键词
平面应力单元
几何及材料非线性
全过程分析
plane stress element
geometric and material nonlinearity
whole-course analysis
