基于荷载等效理论的柱体结构剪切变形解析
Analysis of Shear Deformation of Column Structure Based on Load Equivalent Distribution Theory
赵立财1
作者信息
- 1. 台湾科技大学营建工程系 台北,106335;中铁十九局集团第三工程有限公司 沈阳,110136
- 折叠
摘要
为了提高具有铁木辛科梁性质的柱体结构剪切变形的计算效率和精度,基于荷载等效分布理论、节点解析法以及具有正交内插特性的铁木辛柯梁理论,提出了一种高效求解梁柱节点剪切变形位移的等效分布荷载-有限元算法,并通过研究2种工况算例验证了算法的可靠性.结果表明:该算法利用非常少的单元(1个或2个单元)便可以获得位移、旋转角、剪切力和弯矩的高精度近似解;其他基于位移的方法,如简化积分法,大约需要40个单元才能获得类似的结果.所提方法可以在不同的连接条件下直接获得铁木辛柯梁柱的稳定函数和弯曲荷载,有效提高了柱体结构剪切变形有限元分析解的精确性.
Abstract
To enhance the calculation efficiency and accuracy of shear deformation in column structures with Ti-moshenko beam properties,an equivalent distributed load-finite element method is proposed,based on the theory of equivalent load distribution,node analysis method,and Timoshenko beam theory with orthogonal in-terpolation characteristics.This method efficiently addresses the shear deformation displacement of beam-column joints,which is more accurate and efficient than existing algorithms in analyzing the shear deformation of the column structure.The reliability of the equivalent distributed load-finite element algorithm is verified through the study of two working cases,and the results demonstrate that highly accurate solutions of displacement,angles of rotation,shear forces,and bending moment can be obtained using very few elements(one or two ele-ments).In contrast,other displacement-based methods,such as simplified integration,require about 40 ele-ments to achieve comparable results.This method can directly and systematically determine the stability func-tion and bending load of Timoshenko beam-column under different connection conditions,which effectively im-prove the accuracy of finite element analysis solution of shear deformation of column structure.
关键词
有限元法/精确节点解/等效分布荷载/铁木辛柯梁柱/弯曲荷载Key words
finite element method/exact nodal solutions/equivalent distributed loads/Timoshenko beam-column/bending loads引用本文复制引用
基金项目
辽宁省"兴辽英才计划"青年拔尖人才资助项目(XLYC2007146)
中国铁建股份有限公司科技研究开发计划资助项目(2020-C20)
出版年
2024
NETL
NSTL
万方数据