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Optimal design of a novel tuned mass-damper-inerter (TMDI) passive vibration control configuration for stochastically support-excited structural systems

机译：随机支撑激励结构系统的新型调谐质量阻尼器（TMDI）被动振动控制配置的优化设计

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This paper proposes a novel passive vibration control configuration, namely the tuned mass-damper-inerter (TMDI), introduced as a generalization of the classical tuned mass-damper (TMD), to suppress the oscillatory motion of stochastically support excited mechanical cascaded (chain-like) systems. The TMDI takes advantage of the "mass amplification effect" of the inerter, a two-terminal flywheel device developing resisting forces proportional to the relative acceleration of its terminals, to achieve enhanced performance compared to the classical TMD. Specifically, it is analytically shown that optimally designed TMDI outperforms the classical TMD in minimizing the displacement variance of undamped single-degree-of-freedom (SDOF) white-noise excited primary structures. For this particular case, optimal TMDI parameters are derived in closed-form as functions of the TMD mass and the inerter constant. Furthermore, pertinent numerical data are furnished, derived by means of a numerical optimization procedure, for a 3-DOF classically damped primary structure base excited by stationary colored noise, which exemplify the effectiveness of the TMDI over the classical TMD to suppress the fundamental mode of vibration for MDOF structures. It is concluded that the incorporation of the inerter in the proposed TMDI configuration can either replace part of the TMD vibrating mass to achieve lightweight passive vibration control solutions, or improve the performance of the classical TMD for a given TMD mass.
机译：本文提出了一种新颖的被动振动控制配置，即调谐质量阻尼器-惯性器（TMDI），它是对经典调谐质量阻尼器（TMD）的概括，旨在抑制随机支持的激振机械级联（链式）的振荡运动。 -类）系统。与传统的TMD相比，TMDI利用了惯性器的“质量放大效应”，该惯性器是一种双端飞轮装置，其产生的力与其端部的相对加速度成比例，从而获得增强的性能。具体而言，从分析上可以看出，优化设计的TMDI在最小化无阻尼单自由度（SDOF）白噪声激发的一级结构的位移方差方面优于传统的TMD。对于这种特殊情况，最佳TMDI参数以封闭形式导出，作为TMD质量和惯性常数的函数。此外，提供了通过数值优化程序导出的，由静止彩色噪声激发的3-DOF经典阻尼初级结构基础的相关数值数据，这些数据证明了TMDI优于传统TMD抑制基本模式的有效性。 MDOF结构的振动。结论是，在建议的TMDI配置中并入惰轮可以替代一部分TMD振动块，从而实现轻量级的被动振动控制解决方案，或者改善给定TMD质量下经典TMD的性能。

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    Marian L.; Giaralis A.;

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  • 年度 2014
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