Numerical modeling of the dynamics of multi-storey buildings with elastoplastic seismic insulators

Abstract

The work is devoted to the problems of reducing the intensity of seismic impacts on multi-storey buildings. The main difficulties in solving the problems of seismic isolation of buildings and structures lie in the field of creating mathematical models of the dynamic interaction of the systems “foundation - seismic isolation device - construction”. One of the most effective ways to reduce the level of seismic effects on buildings is to equip them with special devices - seismic isolators, a successful way of implementing which is the use of elastoplastic systems. The method of calculation for seismic actions of multi-storey buildings equipped with elastoplastic seismic insulators is proposed. Numerical modelling of the alternating loading of which uses the rheological model of N N Davidenkov. Modelling of dynamic processes is carried out by means of a mathematical description of the dynamics of two linear multidimensional subsystems that approximate the structures located under seismic insulators and above seismic insulators. The dynamics equations are formed on the basis of the D’Alembert principle. Horizontal seismic effects are considered. The presented technique makes it possible to determine the movements of the nodes of the system at any time of the seismic action specified in the form of a digitized seismogram. The above algorithm is implemented as a software module Proxima. The results of calculations are presented on the example of a model of a 24-storey building designed for the conditions of building in the city of Irkutsk.