Enhanced passive control of dual‐mode systems under extreme seismic loading: An optimal control approach
Enhanced passive control of dual‐mode systems under extreme seismic loading: An optimal control approach
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极端地震载荷下双模系统的增强被动控制：最优控制方法
DOI：
10.1002/stc.2367
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发表时间：
2019
影响因子：
5.4
通讯作者：
Harvey, Jr., Philip Scott
中科院分区：
文献类型：
--
作者：
Tehrani, Mohammad Hadikhan;Harvey, Jr., Philip Scott
被动保护措施的驱替能力有限。当在极端负载下达到容量时，会发生剧烈的冲击，导致加速度峰值。即使在没有冲击的情况下，补充阻尼也会以增加加速度为代价来增加有效位移能力，同时改变系统的正常运行。本文研究了一种双模系统，在不影响系统正常运行的情况下，仅在某些预留容量区域施加控制动作，从而提高了系统在极端事件下的性能。寻求一种创新的解决方案，可以更有效地利用可用的位移能力，同时寻求控制持续加速度，而无需预先假设力-位移或力-速度关系。最优控制用于确定最佳的控制力轨迹，以实现这两个性能目标。通过求解具有约束控制力的欧拉-拉格朗日方程得到开环解。因为找到这个问题的解决方案需要了解未来的负载，所以这些解决方案不能立即实现。因此，本文提出了一种仅在预留容量区域上，每次漂移的最终时间为未知的分段最优控制方法，该方法可用于寻找最佳控制作用机制，从而指导具有冲击缓解机制的新型双模系统的设计。最后，利用从所提出的最优控制过程中获得的设计曲线，对开尔文-沃伊特装置进行了调谐，以说明其目的。在考虑最大地震级别事件的情况下，评估了配备调谐Kelvin-Voigt装置的系统的性能，并将其与分段最优解和使用线性二次型调节器的次优解进行了比较。
Passive protective measures suffer from limited displacement capacities. When the capacity is reached under extreme loading, harsh impacts occur, resulting in spikes in acceleration. Supplemental damping increases the effective displacement capacity at the expense of increasing accelerations, even in the absence of impact, and at the same time altering the normal operation of systems. In this study, a dual‐mode system is studied, which improves the performance of these systems under extreme events, without affecting the normal operation, by applying the control action only at some reserved capacity regions. An innovative solution is sought that can more effectively utilize the available displacement capacity while simultaneously seeking to control the sustained accelerations without any prior assumption on force–displacement or force–velocity relationship. Optimal control is used to determine the best possible control force trajectories to achieve both performance objectives. Open‐loop solutions are found by solving the Euler–Lagrange equations with the constrained control force. Because finding the solution to this problem requires the knowledge of the future loading, these solutions are not immediately implementable. Therefore, a piecewise optimal control with unknown fixed final times on each excursion is proposed on the reserved capacity regions only, which can be used to find the best control action mechanism that can guide the design of novel dual‐mode systems with impact‐mitigation mechanisms. Finally, by utilizing the designed curves obtained from the proposed optimal control procedure, a Kelvin–Voigt device is tuned for illustrative purposes. The performance of the system equipped with a tuned Kelvin–Voigt device under an maximum considered earthquake‐level event is evaluated, and it is compared with the piecewise optimal solution and a suboptimal solution using the linear quadratic regulator.
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DOI：
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