Uncertainty in the seismic performance of semi-active base isolation systems

Xiaoyue Wang, Zhe Qu
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Abstract

In a conventional base isolation system, minimizing the seismic responses of the superstructure is always at the cost of increasing the isolator's response. The semi-active control of the isolator has been considered an effective solution to such a dilemma. It tunes the real-time properties of the isolator according to preset rules to further reduce the superstructure's seismic responses without increasing that of the isolator or vice versa. However, the number of ground motion records used to design and validate the controller, i.e., the preset rules, in existing studies is usually very small and therefore is suspectable if it is adequate to address the significant uncertainty in the shaking of future earthquakes. This paper critically reviews the performance of the proportional-integral-derivative (PID), linear-quadratic regulator (LQR), and fuzzy controllers in semi-active base isolation systems with magnetorheological (MR) dampers subjected to highly uncertain ground motion inputs through numerical simulations. The results show that the control performance of the controllers varies significantly with the increasing number of input records, suggesting the necessity of using at least 50 ground motion records to appropriately assess the performance uncertainty of semi-active base isolation systems. More importantly, the superior performance of the optimized controllers is not guaranteed if the system is subjected to ground motions that are new to the controller, even if the controller has been optimized for thousands of existing ground motions. It highlights the need of improving the adaptability of the semi-active systems for uncertain ground motion inputs.

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半主动基础隔震系统抗震性能的不确定性
在传统的基础隔震系统中,使上部结构的地震响应最小化总是以增加隔震器的响应为代价的。隔振器的半主动控制被认为是解决这种困境的有效方法。它根据预设规则调整隔离器的实时特性,以进一步降低上部结构的地震响应,而不增加隔离器的地震响应或反之亦然。然而,在现有研究中,用于设计和验证控制器的地震动记录数量,即预设规则,通常非常少,因此,如果足以解决未来地震震动中的重大不确定性,则是值得怀疑的。本文通过数值模拟,对比例积分微分(PID)、线性二次型调节器(LQR)和模糊控制器在具有磁流变(MR)阻尼器的半主动基础隔震系统中的性能进行了批判性评价。结果表明,控制器的控制性能随着输入记录数量的增加而显著变化,这表明有必要使用至少50个地震动记录来适当评估半主动基础隔震系统的性能不确定性。更重要的是,如果系统受到控制器新的地面运动的影响,即使控制器已经针对数千个现有地面运动进行了优化,也不能保证优化控制器的优越性能。它强调了提高半主动系统对不确定地震动输入的适应性的必要性。
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