基于首次穿越破坏的TMD体系频域可靠性分析

谭平; 刘良坤; 李祥秀; 张颖; 周福霖

doi:10.3969/j.issn.0258-2724.2015.05.018

基于首次穿越破坏的TMD体系频域可靠性分析

doi: 10.3969/j.issn.0258-2724.2015.05.018

基金项目:

国家973计划项目(2011CB013606)

国家自然科学基金资助项目(91315301-07)

教育部新世纪人才项目(NCET-11-0914)

详细信息

作者简介:
谭平(1973-),男,研究员,博士生导师,研究方向为结构振动控制,E-mail:ptan@gzhu.edu.cn

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出版历程
- 收稿日期: 2014-07-30
- 刊出日期: 2015-10-25

Frequency-Domain Reliability Analysis of Tuned Mass Damper System by First-Passage Theory

摘要

摘要: 为了研究可靠度的频域特性及TMD(tuned mass damper)体系减震特性,基于首次穿越破坏准则,推导了结构在随机激励下关于谱矩截止频率的概率分布计算公式,采用向前差分方法求解关于频域的概率密度,利用概率分布计算公式分析了TMD结构体系可靠度的频域概率信息.结果表明:可靠度的频域概率密度为负值,且随着频带变宽频域可靠度趋近于直接按照首次穿越破坏准则的计算值;结构无控时前两阶频率处的可靠度下降比例为59.23%和35.45%, TMD结构体系的相应比例为34.54%和55.92%,从频域可靠度的角度表明了TMD结构体系主要控制一阶振型,并体现了减震的可靠性.
- 频域 /
- 可靠度 /
- 首次穿越 /
- 截止频率 /
- 概率密度
Abstract: In order to investigate the frequency-domain characteristic of reliability and the damping performance of a tuned mass damper (TMD) system, the probability distribution formula about the spectral moment of cut-off frequency of a structure under random excitations is derived based on the first-passage failure criterion, and the frequency-domain probability density is solved using the forward difference scheme. Then, the frequency-domain probability information of the TMD system is also analyzed by the above method. The results show that the frequency-domain probability density is negative, and the frequency-domain probability tends to the value calculated by the first-passage failure criterion as the frequency band increases. For a structure without control, the percentage of the reliability reduction at the first two mode frequencies are 59.23% and 35.45%, respectively, while counterparts of the TMD system are 34.54% and 55.92%. The frequency-domain reliability analysis reveals that the TMD system has a reliable damping effect, mainly by controlling the first mode vibration of the structure.
- frequency-domain /
- probability /
- first-passage theory /
- cut-off frequency /
- probability density

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文章访问数: 818
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PDF下载量: 309
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基于首次穿越破坏的TMD体系频域可靠性分析

doi: 10.3969/j.issn.0258-2724.2015.05.018

作者简介: 谭平(1973-),男,研究员,博士生导师,研究方向为结构振动控制,E-mail:ptan@gzhu.edu.cn

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Frequency-Domain Reliability Analysis of Tuned Mass Damper System by First-Passage Theory

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作者简介:
谭平(1973-),男,研究员,博士生导师,研究方向为结构振动控制,E-mail:ptan@gzhu.edu.cn