SUMMARYRobust performance of hysteretic dampers, used in controlling mid-rise buildings, against change of earthquake characteristics is investigated in this paper. A shear type ten-storey building incorporating hysteretic dampers is studied as a model under the assumption of elastic perfectly plastic behavior for inelastic frame and damper deformations. An energy-based damper performance index is used to evaluate damper overall e ciency. Thirty-ÿve earthquake records are applied and the damper strength is optimized for each earthquake record to obtain the maximum performance index or the damper e ciency. Based on the obtained numerical results it is found that, besides the e ect of maximum energy input on damper e ciency, other time-dependant properties such as energy-based e ective duration and earthquake dominant period have great in uence on the damper e ciency. A factor ( ), which represents the combined e ect of maximum energy input, e ective duration and dominant earthquake period, is also derived for the prediction of damper e ciency.