首页> 外文会议>Damping and Isolation Mar 3-5, 2003 San Diego, California, USA >Optimization of the Individual Stiffness and Damping Parameters in Multiple-Tuned-Mass-Damper Systems
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Optimization of the Individual Stiffness and Damping Parameters in Multiple-Tuned-Mass-Damper Systems

机译:多调谐质量阻尼器系统中各个刚度和阻尼参数的优化

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The characteristics of multiple tuned-mass dampers (MTMDs) attached to a single-degree-of-freedom primary system have been, examined by many researchers, and several papers have included some parameter optimization. In this paper, we propose an efficient numerical algorithm to optimize the stiffness and damping of each of the tuned-mass dampers (TMDs) in such a system directly. We formulate the parameter optimization as a decentralized H2 control problem where the block-diagonal feedback gain matrix is composed of the stiffness and damping coefficients of the TMDs. The gradient of the root-mean-square (RMS) response with respect to the design parameters is evaluated explicitly, and the optimization can be carried out efficiently. The effects of the mass distribution, number of dampers, total mass ratio, and uncertainties in system parameters are studied. Numerical results indicate that the optimal designs have neither uniformly spaced tuning frequencies nor identical damping coefficients, and that optimization of the individual parameters in the MTMD system yields a substantial improvement in performance. We also find that the distribution of mass among the TMDs has little impact on the performance of the system provided that the stiffness and damping can be individually optimized.
机译:许多研究人员已经研究了连接到单自由度主系统上的多个调谐质量阻尼器(MTMD)的特性,并且几篇论文还包括一些参数优化。在本文中,我们提出了一种有效的数值算法,可以直接优化此类系统中每个调谐质量阻尼器(TMD)的刚度和阻尼。我们将参数优化公式表示为分散的H2控制问题,其中块对角反馈增益矩阵由TMD的刚度和阻尼系数组成。显式评估均方根(RMS)响应相对于设计参数的梯度,并且可以有效地进行优化。研究了质量分布,阻尼器数量,总质量比以及系统参数不确定性的影响。数值结果表明,最佳设计既没有均匀间隔的调谐频率,也没有相同的阻尼系数,并且MTMD系统中各个参数的优化可以显着改善性能。我们还发现,只要可以分别优化刚度和阻尼,TMD之间的质量分布对系统性能的影响就很小。

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