Modeling of Seismic Processes in Buildings at Presence of Elastoplastic Seismic Insulators

Abstract

The work is devoted to the problems of reducing the intensity of seismic impacts on multistorey buildings. It is known that the main difficulties in solving the problems of seismic isolation of buildings and structures lie in the field of creating mathematical models for the dynamic interaction of the “foundation-seismic isolation device-construction” systems and are largely due to nonstationary seismic processes. One of the most effective ways to reduce the level of seismic impacts on buildings is to equip them with special devices-seismic isolators, a successful method of implementation of which is the use of elastoplastic systems with a number of undeniable advantages. A technique for calculating the seismic effects of multistorey buildings equipped with elastoplastic seismic insulators is proposed; N. N. Davidenkov’s rheological model was used to numerically simulate the alternating loading. The modeling 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 building conditions in the city of Irkutsk.