高耸烟囱结构调谐质量惯容阻尼器(TMDI)风振控制方法及效果研究

THE WIND-INDUCED VIBRATION CONTROL OF HIGH-RISE CHIMNEYS BY A TUNED MASS DAMPER INERTER(TMDI)

高耸烟囱是一种典型的风敏感结构,尤其是横风向涡激共振会对结构安全造成不利影响,往往需要对其进行风振控制。相比传统的调谐质量阻尼器(TMD),调谐质量惯容阻尼器(TMDI)能够通过惯容器实现动力吸振器的轻量化设计。但惯容器的连接位置,不仅影响其在对高耸烟囱结构上实施的难度,对风振控制效果的影响也尚待定量化研究。该文将高耸烟囱简化为广义单自由度结构,基于风荷载频谱的滤波表示,推导了TMDI控制下结构风振响应的解析解。在此基础上,对TMDI最优设计参数进行了参数化分析,总结了相应的经验公式供设计参考。此外,通过对比TMDI与TMD的风振响应控制效果,给出了惯容器起增强控制效果的判别准则,以及TMDI的等效TMD质量比计算公式,以指导动力吸振器的轻量化设计。最后,通过对某270 m高混凝土烟囱风洞试验数据进行TMDI风振控制算例分析,验证了理论分析的有效性。结果表明,采用该文优化设计方法,TMDI可降低涡激共振锁定区内高耸烟囱的设计风荷载45%以上。

The high-rise chimney is a typical wind-sensitive structure.The crosswind vortex-induced resonance will have an adverse impact on the structural safety.Compared with traditional tuned mass dampers(TMDs),the tuned mass damper inerter(TMDI)can realize the lightweight design of the dynamic vibration absorber via the massless inerter.However,the location of the inerter affects not only its implementation on the high-rise chimney structure,but also the vibration control performance,which requires detailed quantitative studies.A high-rise chimney is simplified as a generalized single degree of freedom structure.Based on the analog filter representation of wind load spectra,the analytical solution of wind-induced response of the structure under TMDI control is derived.Subsequently,a parametric analysis of TMDI optimal design parameters is performed.Corresponding empirical formulas are summarized for design reference.In addition,by comparing the control effect of TMDI and TMD,the criterion of enhancing the control effect of inerter and the formula of equivalent TMD mass ratio of the TMDI are given to guide the lightweight design of the dynamic vibration absorbers.Finally,the effectiveness of the theoretical analysis is validated by a numerical TMDI control example based on the wind tunnel test data of a concrete chimney of 270 m tall.The results show that TMDI can reduce the design wind load of high-rise chimney by more than 45%in the vortex induced resonance lock-in region.