Optimal Design of Hysteretic Dampers Connecting 2-MDOF Adjacent Structures for Random Excitations

The dynamic behaviour of two adjacent multi-degrees-of-freedom (MDOF) structures connectedwith a hysteretic damper is studied under base acceleration. The base acceleration is modeled asstationary white-noise random process. The governing equations of motion of the connectedsystem are derived and solved using stochastic linearization technique. This study is concernedon the optimum design of the connecting dampers based on the minimization of the storedenergy in the entire system. This procedure is applied on three models. The first is two adjacentthree stories buildings, the second is ten stories buildings and the third is ten-story buildingadjacent to twenty-story building. The connecting damper is installed in three cases; in all floors,double dampers in different floors, and single damper. The results show that at these optimumproperties of the connecting dampers, the response of each structure is reduced and the energyof the entire system is reduced.