Modeling seismic-isolated buildings by the concentrated deformation method

This paper considers the solution to the dynamic problem of seismically isolated buildings using the concentrated strain method. A dynamic model of a building with seismic isolation is investigated under various dynamic effects. Each mass in the dynamic model is assumed to have four degrees of freedom. The concentrated strain method is used to generate the external stiffness matrix of the studied object. Using the method of successive approximations, the system of differential equations is transformed into a system of algebraic equations, which is solved using the stepwise method. The developed computer program based on a numerical modeling algorithm is implemented using the example of a multi-story building with seismic isolation in the form of rubber-metal bearings. The results of a direct dynamic calculation of the seismically isolated building under various types of external effects are obtained.