考虑剪切和翘曲变形影响的空间钢框架塑性铰模型  

Plastic-hinge model of space steel frames considering shear and warping deformations

作　　者：王连坤[1] 王孟鸿[2] 郝际平[3] 郭宏超[3] 

机构地区：[1]五邑大学土木建筑学院,广东江门529020 [2]北京建筑工程学院土木与交通工程学院,北京100044 [3]西安建筑科技大学土木工程学院,陕西西安710055

出　　处：《西安建筑科技大学学报（自然科学版）》2010年第4期514-520,共7页Journal of Xi'an University of Architecture & Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(50378078)

摘　　要：采用更新的拉格朗日列式,推导了一种较为精确的用于空间钢框架非线性分析的集中塑性铰模型.利用考虑剪切变形效应的插值函数推导了空间钢框架结构梁柱单元二阶弹性分析的刚度矩阵.在矩阵推导的过程中,引入了基于薄壁构件的Kollbrunner-Hajdin修正约束扭转理论,应用此理论产生的翘曲扭转插值函数可计及二次剪应力对翘曲变形的影响;结合可以考虑残余应力影响的CRC切线模量,利用扩展的Orbison屈服面模型,推导了一种能反映塑性沿构件截面扩展的二阶非弹性分析的梁-柱单元,可用于多种空间钢框架结构的双重非线性分析,具有较强的通用性.最后通过算例证明了本文提出梁-柱单元的精度和有效性.Making use of updated Lagrangian formation,a concentrated plastic-hinge model for nonlinear analysis of space steel frames is derived. The interpolation functions considering shearing deformation are adopted to derive second-order elastic stiffness matrix. In the derivation,warping-torsion interpolation functions based on Kollbrnner-Dajdin modified constraint torsion theory are used to consider the warping deformation. With these functions the effect of the secondary shear stress can be taken into account. Using CRC tangent modulus for residual stress and expanded Orbison＇s yielding surface,a plastic-hinge method is used to do geometric and material nonlinear analysis of space.Steel frames are derived by introducing elastio-plastic hinge parameter of element cross section. Numerical examples are presented to illustrate the validity and the universality of the proposed approach and the results show that the new model is accurate and suitable for the nonlinear analysis of steel frameworks.

关 键 词：空间钢框架 剪切变形 翘曲变形 塑性铰模型 

分 类 号：TU973[建筑科学—结构工程]