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某大跨度连体结构舒适度多模态TMD振动控制设计
周定松,邓开国,郑挺,黄炜
摘 要

(中国建筑西南设计研究院有限公司, 成都 610042)

[摘要]某办公楼建筑立面凯旋门造型采用大跨度连体结构,跨度为43.5m。该连体竖向自振特性具有多阶竖向自振频率低、频率分布密集、阻尼比小等特点,因人群活动引起的竖向振动加速度过大导致舒适度问题,设计采用TMD振动控制减小人致振动加速度从而改善结构舒适度。根据本项目的实践,总结了一套完整的大跨度连体结构楼盖舒适度TMD振动控制设计方法。根据结构的模态形状特点、人群的活动空间分布情况及舒适度验算结果确定需要控制的频率;  按等效单自由度体系确定对应模态TMD最优参数,并考虑多模态振动控制,可进一步将单个质量较大的TMD分解为多个MTMD,以改善控制效果;  在分析模型相应位置处加入TMD,采用快速非线性分析法(FNA法)进行时程分析以验证TMD振动控制效果。计算结果表明:采用TMD控制结构加速度可显著改善大跨度楼盖结构的舒适性,是一种经济、实用的方法;  对于频率密集型的大跨度楼盖结构,应控制多模态的振动加速度。

[关键词]大跨度连体结构;  舒适度;  TMD振动控制;  多模态振动控制

中图分类号:TU318文献标识码:A文章编号:1002-848X(2020)19-0112-05

 

Design of multi-modal TMD vibration control for a large-span conjoined structure

ZHOU Dingsong, DENG Kaiguo, ZHENG Ting, HUANG Wei

(China  Southwest Architectural Design and Research Institute Co., Ltd., Chengdu 610042, China)

Abstract:The Triumphal Arch shape of an office building adopts a large-span conjoined structure with a span of 43.5m. The vertical natural vibration characteristics of the conjoined structure have the characteristics of low multi-level vertical natural vibration frequency, dense frequency distribution, and small damping ratio. The excessive vertical vibration acceleration caused by crowd activities causes comfort problems. The design uses TMD vibration control to reduce human-induced vibration acceleration to improve structural comfort. According to the practice of this project, a complete set of TMD vibration control design method for comfort of large-span conjoined structure floor was summarized. The frequency that needs to be controlled was determined according to the characteristics of the modal shape of the structure, the spatial distribution of people′s activities and the results of the comfort degree. The optimal parameters of the corresponding modal TMD was determined according to the equivalent single degree of freedom system, and the multi-modal vibration control was considered. Further a single large mass TMD could be decomposed into multiple MTMD to improve the control effect. TMD was added at the corresponding position of the analysis model, and the fast nonlinear analysis method (FNA method) was used for time-history analysis to verify the TMD vibration control effect. The calculation results show that the use of TMD to control structural acceleration can significantly improve the comfort of large-span floor structures, and is an economical and practical method; for frequency-intensive large-span floor structures, multi-mode vibration acceleration should be controlled.

Keywords:largespan conjoined structure; comfort; TMD vibration control; multimodal vibration control

 

作者简介:周定松,博士,一级注册结构工程师,教授级高级工程师,英国结构工程师学会会员(MIStrucE),Email: zhoudingsong@163.com;  通信作者:黄炜,硕士,高级工程师,Email:14763452@qq.com。

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