变截面平面梁单元的双线性模型  

A bi-linear model of non-uniform plane beam element

作　　者：王家林[1] 朱增辉[2] 肖盛燮[2] 

机构地区：[1]重庆大学土木工程学院,重庆400044 [2]重庆交通学院土木建筑学院,重庆400074

出　　处：《重庆交通学院学报》2004年第2期21-25,共5页Journal of Chongqing Jiaotong University

摘　　要：从变形体虚功原理出发,推导了平面任意变截面梁单元的刚度阵和质量阵;从用户使用方便简单的角度提出了一种双线性变截面模型,在此基础上得到了梁单元的刚度阵、质量阵以及机动法求影响线公式的显式表达式.算例表明双线性变截面梁单元符合位移有限元的特点,在应用方便情况下能有效地提高精度,具有一定的实用性.By applying the virtual work principle, the stiffness and mass matrices of an arbitrary non-uniform plane beam element are derived in the paper. For the simplicity and convenience in application, a bi-linear non-uniform plane beam model is recommended. Its stiffness matrix, mass matrix and influence lines by kinematic method can be formulized explicitly. A numeric example demonstrates its accuracy in comparison with the analytic results and indicates that its results coincide with those of the displacement finite element methods.

关 键 词：变截面 梁单元 刚度阵 质量阵 影响线 

分 类 号：O242.21[理学—计算数学]