新型分形防屈曲支撑参数设计及受力性能

doi:10.13229/j.cnki.jdxbgxb20210031

摘要/Abstract

摘要：

为克服传统钢筋混凝土防屈曲支撑自重大、制作成本高及施工速度慢等众多缺点，亟需寻找一种轻型、高强、成本低、耗能大、便于安装、易更换的全钢防屈曲支撑。受其他学者对防屈曲支撑核心单元削弱的研究基础上的启发，本文结合分形Mandelbrot函数，利用MATLAB构思出一种新型的分形防屈曲支撑雏形；借助ABAQUS软件，对比分析了分形防屈曲支撑较传统屈曲支撑、分形屈曲支撑及传统防屈曲支撑的优越性；对部分界面及全界面约束型分形防屈曲支撑的分形维数、长宽比、宽厚比、间厚比及外约束钢板厚度各参数设计进行了对比分析，选出了最优耗能试件，并通过试验采集了一些真实数据对其加以验证，为后续工程加固研究与应用提供了理论依据和设计新思路。研究结果表明：分形屈曲支撑较传统屈曲支撑应力分散，端部连接处应力、位移亦较小，后期由于削弱部位在外力作用下多点逐渐屈服，耗能性较好；分形防屈曲支撑较传统防屈曲支撑（TR-0）耗能性良好，可提高5.11%~8.97%；全界面外约束分形屈曲支撑（FD-1）较部分界面外约束分形屈曲支撑（FD-2）的核心单元受力更加分散，滞回曲线较饱满，耗能效果更佳。

关键词: 结构加固, 防屈曲支撑, 分形, 参数设计, 工程应用

Abstract:

In order to overcome the shortcomings of traditional reinforced concrete buckling restrained brace， such as heavy weight， high cost and slow construction speed， it was necessary to find a kind of all steel buckling restrained brace which was light， high strength， low cost， high energy consumption， easy to install and replace. Inspired by the research of other scholars on the weakening of the core elements of buckling restrained braces， combined with the fractal Mandelbrot function， a new type of fractal buckling restrained braces prototype was conceived by using MATLAB. With the help of ABAQUS software， the advantages of fractal buckling restrained braces over traditional buckling braces， fractal buckling braces and traditional buckling restrained braces were compared and analyzed. The fractal dimension， length width ratio， width thickness ratio， interval thickness ratio and the thickness of externally restrained steel plate of partial interface and full interface restrained fractal buckling restrained brace were compared and analyzed， and the optimal energy dissipation specimen was selected. Meanwhile some real data were collected to verify it. It may provide a theoretical basis and a new design idea for the research and application of subsequent engineering reinforcement. The results showed that the stress of the fractal buckling braces was more dispersed than that of the traditional buckling braces， and the stress and displacement at the end joints were smaller. In the late stage， the weakened parts gradually yielded under the action of external forces， and the energy dissipation was better. Compared with traditional buckling braces （TR-0）， fractal buckling braces had better energy dissipation， which could increase by 5.11% ~ 8.97%. Compared with the partial fractal buckling braces （FD-1） with all the out-of-interface constraints （FD-1）， the force of the core element was more dispersed， the hysteresis curve was fuller， and the energy dissipation effect was better.

Key words: structural reinforcement, buckling restrained brace, fractal, parameter design, engineering application

中图分类号:

TU323.2

罗小博,宋彧,王腾,金子秋,谢国鑫. 新型分形防屈曲支撑参数设计及受力性能[J]. 吉林大学学报(工学版), 2022, 52(7): 1607-1619.

Xiao-bo LUO,Yu SONG,Teng WANG,Zi-qiu JIN,Guo-xin XIE. Parameter design and mechanical performance of a new type of fractal buckling restrained brace[J]. Journal of Jilin University(Engineering and Technology Edition), 2022, 52(7): 1607-1619.

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材料	板厚	平行段宽度	夹头宽度	倒角半径	平行段长度	总长度	夹头长度
Q235	9.5	20	50	15	180	370	95
Q345	11.5	20	50	15	180	370	95

钢材	E/GPa	f_y/MPa	ε_y/%	f_u/MPa	ε_u/%
Q235	206	285.78	0.18	436.07	16.65
Q345	206	373.42	0.33	578.78	13.69

工况	试件编号	核心单元参数				间隙		外约束单元参数
工况	试件编号	边缘形式	长度	宽度	厚度	左右	上下	左右接触形式	上下接触形式	长度	厚度
工况1	TR?0	直线	300	50	10	1	2	直线	直线	300	20
工况2	FD?1	锯齿	300	50	10	1	2	直线	锯齿	300	20
工况3	FD?2	锯齿	300	50	10	1	2	直线	直线	300	20

试件编号	核心单元参数			外约束单元参数		分形维数FD
试件编号	长度	宽度	厚度	长度	厚度	分形维数FD
FD?1?d	300	50	10	300	20	1.1
FD?1?e	300	50	10	300	20	1.2
FD?1?f	300	50	10	300	20	1.3
FD?1?g	300	50	10	300	20	1.4

试件编号	核心单元参数			外约束单元参数		长宽比
试件编号	长度	宽度	厚度	长度	厚度	长宽比
FD?1?X	300	50	10	300	20	6
FD?1?Y	600	50	10	300	20	12
FD?1?Z	900	50	10	300	20	18