Random response analysis of adjacent structures connected with friction damper

The response behavior of two adjacent single-degree-of-freedom structures connected with Friction damper is investigated. The ground motion acceleration is modeled as non-stationary random process as well as stationary white-noise random excitation. The governing equations of motion of the connected structures are formulated and root mean square responses (relative displacement and absolute acceleration) are obtained. The responses are obtained considering 500 ground motion realization using Monte Carlo simulation. An optimum value of the damper slip force for which the root mean square response attains a minimum value is observed. The influence of parameters such as frequency ratio and mass ratio of the connected structures on performance of the damper is investigated. The closed-form expressions for the optimum damper slip force and corresponding mean square responses of the undamped coupled structures under stationary white-noise excitation are derived using equivalent linearization technique. © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.