湖南大学学报（自然科学版）2019，Vol.46Issue(1)：85-92,8.DOI:10.16339/j.cnki.hdxbzkb.2019.01.009
薄壁箱梁约束扭转的有限元分析及弯扭力矩新算法
Finite Element Analysis of Restrained Torsion and New Algorithm of Flexural-torsional Moment for Thin-walled Box Girder
摘要
Abstract
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 bi-moment 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 stiff-ness matrix and fixed-end forces for distributing torque and bimoment acted on the element were established. It fa-cilitated the calculation of normal stress and shear stress. The examples show that the calculation results of the pro-posed method agree well with the theoretical solutions, which proves that the stiffnesses for restrained torsion, equiv-alent nodal forces for distributing torque and bimoment acted on element as well as new algorithm for flexural-tor-sional moment are exact.关键词
薄壁结构/约束扭矩/有限元分析/双力矩/扭率/新算法Key words
thin walled structures/restrained torsion/finite element analysis/bimoment/rate of twist/new algorithm分类
交通工程引用本文复制引用
夏桂云,李传习,杨美良..薄壁箱梁约束扭转的有限元分析及弯扭力矩新算法[J].湖南大学学报（自然科学版）,2019,46(1):85-92,8.基金项目
国家自然科学基金资助项目(51278072) （51278072）
长沙理工大学土木工程优势特色重点学科创新项目(16ZDXK09) （16ZDXK09）
