梁在框架结构中的约束刚度研究

王开强1,2，李国强1,3， 汤文科1(1 同济大学土木工程学院，上海 200092； 2 中国建筑第三工程局有限公司，武汉 430064；3 同济大学土木工程防灾国家重点实验室，上海 200092)

［摘要］假设框架结构中的梁轴向约束刚度仅来自于本层与上层柱的抗侧刚度，考虑提供抗侧刚度的柱远端转动约束刚度，推导了梁轴向约束刚度的计算公式。假设框架结构的梁转动约束刚度仅来自于与其相连的梁与柱，推导了梁转动约束刚度的计算公式。采用一个4层6跨的平面框架结构进行有限元分析，得到不同部位的梁约束刚度，将有限元结果与公式计算结果进行对比，证明了简化模型与计算公式的有效性。

［关键词］ 框架结构；约束刚度；轴向约束；转动约束

中图分类号：TU375.1文献标识码：A文章编号：1002-848X(2011)01-0091-04

Research on restrained rigidity of beams in frame structure

Wang Kaiqiang1, 2, Li Guoqiang1, 3, Tang Wenke1

(1 College of Civil Engineering, Tongji University, Shanghai 200092, China; 2 China Construction 3rd Engineering Bureau Co., Ltd.,

 Wuhan 430064, China; 3 State Key Lab for Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China)

Abstract:It is assumed that beams in frame structure are restrained by columns located in the same and upper stories with the studied beams in axial restriction. Explicit and simplified formulas of axial restrained rigidity of beams in frame structure were deduced based on the proposed assumption, which included the effect of rotational restrained rigidity of the columns that restrained the studied beams. It is also assumed that beams in frame structure are restrained by elements connected with the studied beams directly in rotational restriction. Formulas of rotational restrained rigidity of the studied beams were built based on the analytical model. The validity of the analytical model and the theoretical formulas were proved by comparing the results of finite element analysis and formulas of a  6 bays and 4 layers frame structure.

Keywords:frame structure; restrained rigidity; axial restriction; rotational restriction

国家自然科学基金创新研究群体项目“土木工程防灾”(50621062)，国家科技支撑计划项目“高性能建筑结构设计关键技术研究”(2006BAJ01B02)。

作者简介：王开强，博士，Email:wkq888@hotmail.com。

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