摘要
在6个自由度有限梁元基础上,采用单一系数将轴力二次效应对梁单元的影响引入到梁的分析刚度矩阵中,并考虑到梁单元约束扭转时不可避免发生翘曲作用,增加了翘曲角自由度,建立了即能用于通常梁,更能适用于薄壁梁单元的7个自由度的单元分析统一模型,同时将轴向力、弯矩和双力矩的贡献引入到几何刚度矩阵中,得出了综合考虑轴向拉压、弯曲、扭转以及轴力二次效应和翘曲及其耦合影响的变形状态刚度矩阵.线性和非线性算例均表明轴力二次效应对细长构件结构内力和位移的影响不能忽视.
On the basis of the 6 degrees of freedom beam dements, the paper used the single coefficient to introduce the second effect of the axial force on the stiffness matrix of the beam element, and by adding the freedora of warping angle to consider the beam dements＇ warping deformation during the restrained torsion, the 7 degrees of freedom united model established is not only applied on the common beam structure but also on the thin-walled beam structure. At the same time, by considering the oontribution of the axial force, bend moment and bio-moment in the geometric stiffness matrix, the tangent stiffness matrix under the deforming state is received which can analyze all the factors, such as the axial pulling and pushing, bending, twisting, warping and second effect of axial force as well as their exiling influence. The linear and nonlinear examples indicate that the second effect of the axial force on the analysis of the inner force and displacement of the slighmess members＇ structure can not be neglected.
出处
《北京交通大学学报》
EI
CAS
CSCD
北大核心
2006年第4期35-38,共4页
JOURNAL OF BEIJING JIAOTONG UNIVERSITY
基金
山西省青年科技研究基金资助项目(20031036)
关键词
梁单元结构
轴力二次效应
翘曲角
应变矩阵
切线刚度矩阵
beam element structure
the second effect of the axial force
warping angle
strain matrix
tangent stiffness matrix
