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

作　　者：赵立财 ZHAO Licai(Department of Civil and Construction Engineering,National Taiwan University of Science and Technology Taipei,106335,China;The Third Engineering Co.,Ltd.of China Railway 19th Bureau Group Shenyang,110136,China)

机构地区：[1]台湾科技大学营建工程系,台北106335 [2]中铁十九局集团第三工程有限公司,沈阳110136

出　　处：《振动．测试与诊断》2024年第5期1023-1031,1044,共10页Journal of Vibration,Measurement & Diagnosis

基　　金：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)。

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。To enhance the calculation efficiency and accuracy of shear deformation in column structures with Timoshenko 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 interpolation characteristics.This method efficiently addresses the shear deformation displacement of beamcolumn 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 elements).In contrast,other displacement-based methods,such as simplified integration,require about 40 elements to achieve comparable results.This method can directly and systematically determine the stability function and bending load of Timoshenko beam-column under different connection conditions,which effectively improve 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 

分 类 号：TU31[建筑科学—结构工程]