This paper investigates the rocking behavior of rigid bodies seismically protected by means of lead rubber bearings and high damping rubber bearings, which are the most popular kinds of elastomeric isolators in the market. The complex nonlinear force–displacement relationship displayed by such devices is predicted by a phenomenological model based on a small set of parameters having a clear mechanical meaning. The algebraic nature of the proposed hysteretic model makes it suitable for a design procedure, using an energy-based approach, that allows one to obtain the hysteretic model parameters on the basis of the mass and the isolation period. Overturning spectra are evaluated and discussed to illustrate the effect of the isolation devices on the rigid bodies' rocking behavior. Furthermore, nonlinear time history analyses associated with six real earthquakes are carried out on six of Michelangelo's sculptures, located in the Galleria dei Prigioni at the Accademia Gallery of Florence, in order to examine their actual behavior under real strong ground motions.

中文翻译：

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一种模拟和设计基于弹性体的隔离系统的程序，用于对摇摆艺术品进行抗震保护

本文研究了采用铅橡胶支座和高阻尼橡胶支座进行抗震保护的刚体的摇摆行为，它们是市场上最流行的弹性隔振器类型。这种装置所显示的复杂的非线性力-位移关系是通过基于一小组具有明确机械意义的参数的唯象模型来预测的。所提出的滞后模型的代数性质使其适用于使用基于能量的方法的设计程序，该方法允许基于质量和隔离期获得滞后模型参数。评估和讨论了翻转光谱，以说明隔离装置对刚体摇摆行为的影响。此外，佛罗伦萨学院美术馆的Galleria dei Prigioni，以检查它们在真实强烈地面运动下的实际行为。