Abstract
The reliability-based design optimization (RBDO) of tuned mass damper in vibration control considering parameter uncertainties is noteworthy. However, same is not the case for liquid dampers. The present study deals with the RBDO of liquid column vibration absorber (LCVA) parameters in seismic vibration control considering uncertainty in the properties of primary structure and ground motion parameter. The conditional second-order information of the response quantities are obtained in the random vibration framework using state space formulation. Subsequently, the total probability theorem is used to evaluate the unconditional response of the structure considering random system parameters. The unconditional root mean square displacement (rmsd) of the structure is considered as the performance index to define the failure of the system which is used as the objective function for optimum design LCVA system. Numerical study is performed to elucidate the effect of parameter uncertainty on the optimization of LCVA parameters and system performance.
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