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薄壁箱梁约束扭转的有限元分析及弯扭力矩新算法

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成果类型:
期刊论文
论文标题(英文):
Finite Element Analysis of Restrained Torsion and New Algorithm of Flexural-torsional Moment for Thin-walled Box Girder
作者:
夏桂云;李传习;杨美良
通讯作者:
Xia, G.
作者机构:
[夏桂云; 李传习; 杨美良] School of Civil Engineering, Changsha University of Science and Technology, Changsha, 410114, China
通讯机构:
School of Civil Engineering, Changsha University of Science and Technology, Changsha, China
语种:
中文
关键词:
薄壁结构;约束扭矩;有限元分析;双力矩;扭率;新算法
关键词(英文):
Beams and girders;Box girder bridges;Shear stress;Stiffness;Stiffness matrix;Thin walled structures;Torsional stress;Transfer matrix method;Bimoment;Calculation results;Displacement solution;Equivalent nodal forces;Finite element formulations;Restrained torsion;Theoretical solutions;Thin walled box girder;Finite element method
期刊:
湖南大学学报(自然科学版)
ISSN:
1674-2974
年:
2019
卷:
46
期:
1
页码:
85-92
基金类别:
National Natural Science Foundation of China(51278072), Key Discipline Foundation of Civil Engineering for Changsha University of Science and Technology(16ZDXK09).
机构署名:
本校为第一且通讯机构
院系归属:
土木工程学院
摘要:
利用初参数法和传递矩阵,建立了薄壁箱梁约束扭转分析的有限元列式,导出了均布扭矩和均布双力矩的非结点荷载的等效公式.基于约束扭转的有限元位移解,进一步建立了弯扭力矩新算法,导出相应的刚度矩阵、均布扭矩和均布双力矩作用下的固端力公式,方便正应力和剪应力的计算.算例表明,本文的计算结果与理论值完全符合,所建立的薄壁箱梁约束扭转有限元列式、均布扭矩和均布双力矩的非结点荷载等效公式、弯扭力矩新算法公式正确.
摘要(英文):
Using initial parameter solutions and transfer matrix method, the finite element formulation for restrained torsion of a thin-walled box girder was presented. The equivalent nodal forces of distributing torque and bimoment acted on an element were also derived. Based on the displacement solutions of the finite element method for restrained torsion, a new algorithm for calculating the flexural-torsional moment was developed. The relevant stiffness matrix and fixed-end forces for distributing torque and bimoment acted on the element were establis...

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