Analysis on control of flow-induced vibration by tuned liquid damper with crossed tube-like containers

Abstract Probabilistic characteristics of response of a multi-storey structure with tuned liquid dampers (TLD) installed in one or some of the floors due to random dynamic loads are investigated. The tuned liquid damper consists of crossed tube-like containers of nonlinear characteristics of energy dissipation. A new version of stochastic linearization approach is applied to solve the nonlinear vibration of the structure and the liquid in the containers. Specifically, the nonlinear vibration system is replaced by an equivalent system in terms of the criterion of minimal mean square deviation of generalized energies between these two systems. Examples given show that the modified stochastic linearization approach is closer to the exact solution than the conventional one. Finally, the effects of the tuned liquid damper on the structural response are identified.