Abstract Broadband stochastic excitations from environment such as seismic activities, sea waves, wind gusts, and tremors can lead to the terrible damages of tall structures and buildings which usually have a low amount of vibration damping. Tuned liquid dampers (TLD) have been considered for around thirty years regarding their ability for passive suppression and absorb the vibration energy in such structures. In this paper, the fluid-structure interaction of a two-dimensional rectangular tank with elastic side walls and foundation is investigated by the smoothed particle hydrodynamics (SPH) method. First, the implementation of SPH for the frequency analysis of a rectangular container with flexible boundaries, partially filled with liquid, is described. The governing equations of the sloshing of an inviscid liquid in a two-dimensional Cartesian coordinate system coupled with the thin plate vibration on sides are linearized and solved by the SPH method. The sloshing and bulging modes of the system are derived and discussed in this paper. The results of the frequency spectrum of the sloshing tank coupled with the spring-damper system are analyzed and compared with the mechanical equivalent system. Results are validated by analytical benchmark and show the applicability as well as the simplicity of the SPH method for analytical vibration analysis of a fluid-structure coupled system. Then various control method including: Active mass damping (AMD) control designed based on proportional feedback control, the tuned liquid damper (TLD) control based on the analytical model, and a hybrid method of active tuned liquid damper (ATLD) are modeled and compared in a one-story structure. Results demonstrated that although the AMD is more efficient and stable in a specific range of feedback coefficient, the proposed ATLD is reliable in a wider range of control parameters.

中文翻译：

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弹性壁面与地基耦合晃荡频率分析与光滑粒子流体动力学控制

摘要 来自地震活动、海浪、阵风和地震等环境的宽带随机激励可导致通常具有较低减振量的高层结构和建筑物的可怕破坏。调谐液体阻尼器 (TLD) 已经考虑了大约 30 年，因为它们具有被动抑制和吸收此类结构中的振动能量的能力。本文采用光滑粒子流体动力学（SPH）方法研究了具有弹性侧壁和基础的二维矩形储罐的流固耦合。首先，描述了 SPH 的实现，用于对具有柔性边界、部分充满液体的矩形容器进行频率分析。二维笛卡尔坐标系下无粘性液体晃动与侧面薄板振动耦合的控制方程线性化并用SPH方法求解。本文推导并讨论了系统的晃动和膨胀模态。分析了耦合弹簧阻尼系统的晃荡罐的频谱结果，并与机械等效系统进行了比较。结果通过分析基准进行验证，并显示了 SPH 方法在流固耦合系统的振动分析中的适用性和简单性。然后各种控制方法包括：基于比例反馈控制设计的主动质量阻尼（AMD）控制，基于解析模型的调谐液体阻尼器（TLD）控制，在单层结构中对主动调谐液体阻尼器 (ATLD) 的混合方法进行建模和比较。结果表明，虽然 AMD 在特定的反馈系数范围内更有效和稳定，但所提出的 ATLD 在更广泛的控制参数范围内是可靠的。