Tuned Liquid Column Damper Inerter (TLCDI) for Wind-Induced Vibration Control of Fixed-Base Structures

In this paper, the optimal design of a novel passive control device, defined as Tuned Liquid Column Damper Inerter (TLCDI), is investigated to control wind-induced vibrations of structural systems. Due to inherent nonlinearities, a complex numerical solution scheme is commonly required to optimally design the device. Therefore, to provide a straightforward optimization procedure, a statistical linearization approach is employed to minimize the stochastic response of a single degree of freedom system. Under the assumption of a Gaussian white noise excitation of wind loading type, and considering some additional hypotheses, a closed form solution of the optimal parameters of TLCDI is achieved. The validity of the proposed expressions is assessed by comparing results with those obtained from a more computationally demanding iterative method.