The potential of compliant liquid dampers-inerter (CLDI) for response control of tall buildings, capitalizing on the mass amplification property of the inerter, has been explored. However, the influence of the compliance connection on the damper displacement, energy dissipation, and inerter force is never addressed. The present work introduces a nonlinear compliant liquid damper-inerter (NCLDI), in which the compliance connection is achieved by joining the tank with the building through nonlinear spring and linear dashpot elements. The nonlinear mechanism (restoring force) is generated by connecting two linear springs in series. The effectiveness of NCLDI in reducing the across-wind response of tall buildings is examined and compared with that of a CLDI. For numerical demonstration, the 76-storey benchmark tall building is considered and subjected to across-wind loading. With the building's available mass, damping, and stiffness matrices, the uncontrolled and controlled structural responses are obtained using the Newmark–Beta method in the MATLAB environment. Iterations are executed at each time step to address the nonlinear stiffness term incorporating the Newton-Raphson method. Optimization is performed to estimate the optimum damper parameters utilizing MATLAB's multi-objective genetic algorithm solver, ‘’. The four selected objective functions are the peak and root-mean-square values of the roof displacement and acceleration. The performance of both the dampers is investigated for different inerter topologies with variable inertance ratios. The CLDI is found to be efficient when the inertance ratio and topology are less. However, an enhanced mitigation effect of the NCLDI compared to the CLDI is observed for higher inertance with a large topology. In addition, the stroke length of the damper is reduced significantly in case of NCLDI, which is a notable advantage for any passive damping device.

中文翻译：

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线性与非线性柔顺液体阻尼器-惯性器控制基准高层建筑横风响应的性能比较

人们已经探索了顺应性液体阻尼惯性器 (CLDI) 利用惯性器的质量放大特性来控制高层建筑响应的潜力。然而，柔顺连接对阻尼器位移、能量耗散和惯性力的影响从未得到解决。目前的工作介绍了一种非线性柔顺液体阻尼惯性器（NCLDI），其中通过非线性弹簧和线性缓冲器元件将水箱与建筑物连接来实现柔顺连接。非线性机构（恢复力）是通过串联两个线性弹簧产生的。检查了 NCLDI 在降低高层建筑横风响应方面的有效性，并与 CLDI 进行了比较。在数值演示中，考虑了 76 层基准高层建筑并承受横风荷载。利用建筑物的可用质量、阻尼和刚度矩阵，可以在 MATLAB 环境中使用 Newmark-Beta 方法获得非受控和受控结构响应。在每个时间步执行迭代以解决结合牛顿-拉夫森方法的非线性刚度项。利用 MATLAB 的多目标遗传算法求解器“”进行优化以估计最佳阻尼器参数。选定的四个目标函数是屋顶位移和加速度的峰值和均方根值。针对具有可变惯性比的不同惯性拓扑，研究了两种阻尼器的性能。当惯性比和拓扑较小时，CLDI 被发现是有效的。然而，与 CLDI 相比，NCLDI 的缓解效果增强，因为大型拓扑具有更高的惯性。此外，在 NCLDI 的情况下，阻尼器的行程长度显着缩短，这对于任何被动阻尼装置来说都是一个显着的优势。