Dynamic response of adjacent structuresconnected by friction damper

摘要

Dynamic response of two adjacent single degree-of-freedom (SDOF) structures connectedwith friction damper under base excitation is investigated. The base excitation is modeled as a stationarywhite-noise random process. As the force-deformation behavior of friction damper is non linear, thedynamic response of connected structures is obtained using the equivalent linearization technique. It isobserved that there exists an optimum value of the limiting frictional force of the damper for which themean square displacement and the mean square absolute acceleration responses of the connected structuresattains the minimum value. The close form expressions for the optimum value of damper frictional forceand corresponding mean square responses of the coupled undamped structures are derived. Theseexpressions can be used for initial optimal design of the friction damper for connected structures. Aparametric study is also carried out to investigate the influence of system parameters such as frequencyratio and mass ratio on the response of the coupled structures. It has been observed that the frequencyratio has significant effect on the performance of the friction damper, whereas the effects of mass ratio aremarginal. Finally, the verification of the derived close from expressions is made by correlating theresponse of connected structures under real earthquake excitations.