基于实体退化组合单元的钢筋混凝土多梁式T梁非线性分析  

Nonlinear analysis on the reinforced concrete multi-T girder based on the solid and degraded composite element

作　　者：张剑[1] 汪锋 梁清宇[3] 杨婷 田嘉伟 ZHANG Jian;WANG Feng;LIANG Qingyu;YANG Ting;TIAN Jiawei(Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;School of Civil Engineering, Tongji University, Shanghai 200092, China;Zhejiang Institute of Hydraulics and Estuary, Hangzhou 310020, China)

机构地区：[1]南京航空航天大学航空学院,江苏南京210016 [2]同济大学土木工程学院,上海200092 [3]浙江省水利河口研究院,浙江杭州310020

出　　处：《河海大学学报（自然科学版）》2019年第3期276-282,共7页Journal of Hohai University(Natural Sciences)

基　　金：国家自然科学基金(11232007);南京航空航天大学研究生教育教学改革研究项目(2017-2);南京航空航天大学航空宇航学院教育教学改革研究项目(2017-5)

摘　　要：根据实体退化壳单元理论,推导单元的位移场,建立钢筋混凝土多梁式T梁的实体退化组合单元模式,其中纵向受力钢筋采用空间杆单元处理,并推求了其对实体退化组合单元刚度矩阵的贡献。采用Ottosen四参数屈服准则,考虑混凝土的材料非线性,以及通过V.Karman假设考虑了结构的几何非线性,分析几何非线性对此结构的影响。典型算例分析表明:考虑双重非线性的钢筋混凝土多梁式T梁的实体退化组合单元的计算结果与试验资料吻合良好;当偏载加载时,加载端边梁的受力钢筋应力发展较为迅速而首先达到屈服应力,其余各主梁的受力钢筋应力依次发展,直至结构破坏;对于钢筋混凝土多梁式T梁类实体结构,材料非线性效应明显,但几何非线性效应在一定范围内可以不计入。In this study, based on the degenerated shell element theory, the displacement field of the element is deduced, and the nonlinear composite element mode of the reinforced concrete multi-T beam is established. The longitudinal carrying bar is treated by the space bar element and its contribution to the stiffness matrix of nonlinear composite elements is deduced. The material nonlinearity of concrete is considered by the four parameters’ Ottosen criterion, and the geometrical nonlinearity of the structure is taken into account by the V. Karman assumption to analyze the influence of geometrical nonlinearity on the structure. The typical example shows that the nonlinear combination element of reinforced concrete multi-T beam with double nonlinearities is in good agreement with the experimental data. The element can be used to correctly analyze the structure nonlinearity. When the partial load is loaded, the stress of the reinforced bar on the side beam develops more rapidly and reaches the yield stress firstly, while the stress of rest reinforced beams of all the main girders develops in sequence until the structure is destroyed. For reinforced concrete multi T beams, the effect of material nonlinear is evident, and geometrically nonlinear effect can be excluded within a certain range.

关 键 词：钢筋混凝土 多梁式T梁 实体退化组合单元 非线性 刚度矩阵 位移场 

分 类 号：U443.3[建筑科学—桥梁与隧道工程]