SUMMARYCoupling adjacent buildings using discrete viscoelastic dampers for control of response to low and moderate seismic events is investigated in this paper. The complex modal superposition method is "rst used to determine dynamic characteristics, mainly modal damping ratio and modal frequency, of damper-linked linear adjacent buildings for practical use. Random seismic response of linear adjacent buildings linked by dampers is then determined by a combination of the complex modal superposition method and the pseudo-excitation method. This combined method can e!ectively and accurately determine random seismic response of non-classically damped systems in the frequency domain. Parametric studies are "nally performed to identify optimal parameters of viscoelastic dampers for achieving the maximum modal damping ratio or the maximum response reduction of adjacent buildings. It is demonstrated that using discrete viscoelastic dampers of proper parameters to link adjacent buildings can reduce random seismic responses signi"cantly.
SUMMARYClosed-form solution for seismic response of adjacent buildings connected by hydraulic actuators with linear quadratic Gaussian (LQG) controllers is presented in this paper. The equations of motion of actively controlled adjacent buildings against earthquake are ÿrst established. The complex modal superposition method is then used to determine dynamic characteristics, including modal damping ratio, of actively controlled adjacent buildings. The closed-form solution for seismic response of the system is ÿnally derived in terms of the complex dynamic characteristics, the pseudo-excitation method and the residue theorem. By using the closed-form solution, extensive parametric studies can be carried out for the system of many degrees of freedom. The beneÿcial parameters of LQG controllers for achieving the maximum response reduction of both buildings using reasonable control forces can be identiÿed. The e ectiveness of LQG controllers for this particular application is evaluated in this study. The results show that for the adjacent buildings of di erent dynamic properties, if the parameters of LQG controllers are selected appropriately, the modal damping ratios of the system can be signiÿcantly increased and the seismic responses of both buildings can be considerably reduced.
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