基于等参元理论的钢筋混凝土任意截面的刚度计算  

STIFFNESS CALCULATION OF ARBITRARY REINFORCED CONCRETE CROSS SECTIONS BASED ON ISOPARAMETRIC ELEMENT THEORY

作　　者：李昊[1] 刁波[1] 

机构地区：[1]北京航空航天大学土木工程系,北京100083

出　　处：《工业建筑》2007年第11期38-41,共4页Industrial Construction

基　　金：国家自然科学基金资助(50678016);北京市自然科学基金资助(8052014);国家教育振兴行动计划资助(BHB985-1-04)项目

摘　　要：根据有限单元法中的等参元理论,把笛卡尔坐标系下的任意形状截面变换为自然坐标系下的规则形状单元,导出自然坐标系下的钢筋混凝土截面的应变场和刚度矩阵表达式,使用高斯积分法计算截面刚度矩阵各个元素,从而建立计算任意形状截面刚度的通用计算模型。计算过程简单、算法可移植性好、精度较高。用所提出方法对钢筋混凝土双向偏压截面进行非线性全过程分析,计算结果与试验结果吻合良好。Through coordinate transformation corresponding to the isoparametric element theory, calculation of an abnormal element in Cartesian coordinate system is converted to a regular element in natural coordinate system. Applying this finite element technique to nonlinear full-range analysis theory of arbitrary reinforced concrete cross-sections, useful expressions of cress-section＇s strain field and stiffness matrix in natural coordinate system are derived. In square element, procedure of carrying out Gauss integral to obtain every component of the stiffness matrix is proposed. This method makes numerical analysis methods of various shapes uniformed with one model. A comparison between the numerical analysis by arc-length method and the test results shows good agreements in ultimate loads.

关 键 词：钢筋混凝土 任意截面 等参元 高斯积分 非线性 

分 类 号：TU375[建筑科学—结构工程]