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不同高宽比3/4支撑与交叉支撑结构效率研究
陈寅,陈晓航,黄元根
摘 要

(广州容柏生建筑结构设计事务所, 广州 510170)

[摘要]3/4支撑是指支撑交点位于支撑节间高度h的3/4处的支撑。基于等效水平集中荷载,以顶点位移最小化为设计目标进行拓扑优化得到的3/4支撑,其荷载边界条件与实际工程中常见的跨层支撑有一定区别,设计时需要判断其差异性。层间位移角和顶点位移作为不同设计目标的差异亦不能忽略。对高宽比2~12有限元模型进行参数化分析,结果表明:总体来看,高宽比越大则3/4支撑的抗侧效率越高,有可能超过交叉支撑;随支撑截面加大或柱截面减小,3/4支撑的抗侧效率会逐渐提高;弯曲变形的比例越高,则3/4支撑越有效;3/4支撑角度的突变会导致层刚度的突变和层间位移角不均匀,内筒的存在有助于缓解此问题;3/4支撑的扭转刚度稍差于交叉支撑,对于平面不规则的结构需要关注其差异。

[关键词]高宽比; 3/4支撑; 交叉支撑; 拓扑优化; 结构效率

中图分类号:TU318文献标识码:A文章编号:1002-848X(2020)04-0044-05

 

Study on structure efficiencies of 3/4 brace and cross brace with different height to width ratios

Chen Yin, Chen Xiaohang, Huang Yuangen

(RBS Architectural Engineering Design Associates, Guangzhou 510170, China)

Abstract:The 3/4 brace refers to the brace where the brace intersection is located at 3/4 of the total height h of the brace. Based on the equivalent horizontal concentrated load, the top point displacement minimization was taken as the design goal to conduct topology optimization to obtain the 3/4 brace, of which the load boundary conditions were different from the common cross-story brace in actual engineering, so the difference needs to be judged during design. The differences between inter-story displacement angles and top point displacements as different design goals could not be ignored. Parametric analysis of the finite element model with a height to width ratio of 2 to 12 shows that in general, the larger the ratio is, the higher the resisting lateral force efficiency of the 3/4 brace is, which may exceed that of the cross brace; as the brace cross section increases or the column cross section decreases, the resisting lateral force efficiency of 3/4 brace will gradually increase; the higher the proportion of bending deformation is, the more effective the 3/4 brace is; the abrupt change of the 3/4 brace angle will cause the abrupt change of the story stiffness and the uneven inter-story displacement angle, and the existence of the inner tube helps to alleviate this problem; the torsional stiffness of the 3/4 brace is slightly worse than that of the cross brace, and it is necessary to pay attention to the difference for the plane irregular structure.

Keywords:height to width ratio; 3/4 brace; cross brace; topology optimization; structural efficiency

 

作者简介:陈寅,硕士,一级注册结构工程师,Email:chenyin@gzrbs.com。

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