Calculation of a Vibration-Isolated Building System with Non-Linear Characteristics Under Kinematic Action (Base Displacement)

Vibration isolation systems play a major role in protecting buildings from seismic damage. Since they consist of elements with non-linear characteristics, the calculation models of the vibration isolation system require taking into account changes in the dynamic characteristics of the structure (stiffness or compliance matrix), frequencies and forms of natural vibrations. The study proposes an algorithm and dependencies which are based on the possibility of the disconnection or the destruction of the additional connections (elements with non-linear characteristics) due to certain seismic forces and displacement of structures under seismic impact. The results showed that the amplitude-frequency response, displacement, and shear force at the base of the structure decreased when additional connections were disconnected or destroyed. Thus, the proposed method, which takes into account the operation of vibration isolation systems with nonlinear connections, allows reducing the material, economic and human damage during seismic action. The obtained results of the example show that the dependences of the calculation algorithm developed in the work can be used in engineering practice when evaluating the dynamic behavior of a vibration-insulated building system (amplitude-frequency response) during vibrations under seismic influence.