Optimum design of tuned liquid column dampers under stochastic earthquake load considering uncertain bounded system parameters
Optimum design of tuned liquid column dampers under stochastic earthquake load considering uncertain bounded system parameters
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DOI：
10.1016/j.ijmecsci.2010.07.004
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发表时间：
2010-10
影响因子：
7.3
通讯作者：
Rama Debbarma;S. Chakraborty;Saibal Kumar Ghosh
中科院分区：
文献类型：
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作者：
Rama Debbarma;S. Chakraborty;Saibal Kumar Ghosh
调谐液柱阻尼器(TLCD)是调谐质量阻尼器(TMD)的一种有效替代方案，可以有效地降低结构对动力荷载的响应。最优TLCD参数通常是基于所涉及的系统参数是确定的这一隐含假设来获得的。但是，由于不可避免的系统参数不确定性的存在，如果TLCD参数没有调整到其设计要抑制的振动模式，则可能会降低阻尼器的效率。考虑随机系统参数的TMD参数优化研究是值得关注的问题。但是，液体阻尼器的情况并非如此。此外，虽然概率框架下的不确定参数下的阻尼器参数优化具有很强的功能，但当以概率形式描述参数所需的详细信息有限时，该方法不能在许多实际情况下应用。本文研究了不确定但有界(UBB)型不确定系统参数下随机地震作用下结构振动控制的TLCD参数优化问题。借助于矩阵摄动理论，利用一阶Taylor级数展开和动力响应函数的区间展开，将振动控制问题转化为相应的确定性优化问题，并得到相应的上下限解。数值研究了参数不确定性对阻尼器参数优化和TLCD性能的影响。
The Tuned Liquid Column Damper (TLCD) is an effective alternative to the Tuned Mass Damper (TMD) to reduce the response of structures due to dynamic loads. The optimum TLCD parameters are normally obtained based on the implicit assumption that the system parameters involved are deterministic. But, the efficiency of dampers may reduce if the TLCD parameters are not tuned to the vibrating mode it is designed to suppress due to the unavoidable presence of system parameter uncertainty. The study of TMD parameters’ optimization considering random system parameters is noteworthy. But, the same is not the case for liquid dampers. Moreover, though the damper parameters optimization under uncertain parameters in probabilistic framework is powerful; the approach cannot be applied in many real situations when the required detailed information to describe the parameters in probabilistic format is limited. In present work, the TLCD parameters optimization to control vibration of structures subjected to stochastic earthquake load under uncertain system parameters modeled as uncertain but bounded (UBB) type is studied. With the aid of matrix perturbation theory using first-order Taylor series expansion and interval extension of the dynamic response function, the vibration control problem is transformed to appropriate deterministic optimization problems yielding the lower and upper bound solution. Numerical study is performed to elucidate the effect of parameters’ uncertainties on the optimization of damper parameters and the performance of TLCD.