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Optimal design and seismic performance of tuned mass damper inerter (TMDI) for structures with nonlinear base isolation systems

机译:具有非线性基础隔震系统的结构的调谐质量阻尼器惰化器(TMDI)的优化设计和抗震性能

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The tuned mass damper inerter (TMDI) couples the classical tuned mass damper (TMD) with an inerter, a mechanical device whose generated force is proportional to the relative acceleration between its terminals, thus providing beneficial mass-amplification effects. This paper deals with a dynamic layout in which the TMDI is installed below the isolation floor of base-isolated structures in order to enhance the earthquake resilience and reduce the displacement demand. Unlike most of the literature studies that assumed a linearized behavior of the isolators, the aim of this paper is to investigate the effectiveness of the TMDI while accounting for the nonlinearity of the isolators. Two nonlinear constitutive behaviors are considered, a Coulomb friction model and a Bouc-Wen hysteretic model, representative of friction pendulum and of lead-rubber-bearing isolators, respectively. Optimal design is based on the stochastic dynamic analysis of the system, by modeling the base acceleration as a Kanai-Tajimi filtered stationary random process and resorting to the stochastic linearization technique to handle the nonlinear terms. Different tuning criteria based on displacement, acceleration, and energy-based performance indices are defined, and their implications in a design process are discussed. It is proven that the improved robustness of the TMDI reduces its performance sensitivity to the tuning frequency and to the earthquake frequency content, which are well-known shortcomings of TMD-like systems. This important feature makes the TMDI particularly suitable for nonlinear base-isolated structures that are affected by unavoidable uncertainties in the isolators' properties and that may experience changes of isolators effective stiffness depending on the excitation level.
机译:调谐质量阻尼器惰化器(TMDI)将经典调谐质量阻尼器(TMD)与惰化器耦合,后者是一种机械装置,其产生的力与其端子之间的相对加速度成比例,因此提供了有益的质量放大效果。本文讨论了一种动态布局,其中TMDI安装在基础隔离结构的隔离层下方,以增强抗震能力并减少位移需求。与大多数假设隔离器具有线性行为的文献研究不同,本文的目的是在考虑隔离器的非线性的同时研究TMDI的有效性。考虑了两种非线性本构行为,库仑摩擦模型和Bouc-Wen磁滞模型,分别代表摩擦摆和含铅橡胶隔离器。最优设计基于系统的随机动力学分析,通过将基本加速度建模为Kanai-Tajimi滤波的平稳随机过程,并采用随机线性化技术来处理非线性项。定义了基于位移,加速度和基于能量的性能指标的不同调整标准,并讨论了它们在设计过程中的含义。事实证明,TMDI的更高的鲁棒性降低了其对调谐频率和地震频率含量的性能敏感性,这是类TMD系统的众所周知的缺点。这一重要特征使TMDI特别适用于非线性基础隔离结构,该结构受隔离器性能不可避免的不确定性的影响,并且可能会根据激励水平而经历隔离器有效刚度的变化。

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