DYNAMIC MODELLING AND OPTIMAL DESIGN OF BUILDINGS WITH FRICTION DAMPERS USING PARTICLE SWARM OPTIMIZATION

Abstract

Formulation of the problem. Dry friction dampers are widely used for the protection of buildings from dynamic and seismic loads. Their advantages are the simplicity and reliability of the design, low costs, easy installation and maintenance, as well as high dissipative characteristics. Determining the location of friction dampers inside a building is a complex task that requires a comprehensive analysis of the dynamic properties of the structure and, as a rule, cannot be solved within the framework of standard design methods. Therefore, a crucial problem is the development of novel methods for calculating structures with dry friction dampers allowing finding optimal design solutions to minimize dynamic and seismic impacts.
 The purpose of the sudy. The method of particle swarm optimization is developed for the prediction of rational locations of friction dampers in multi-storey frame buildings to enhance their resistance to seismic loads. 
 Conclusions. An analytical model describing the dynamic behavior of buildings with friction dampers is proposed. A mathematical model of seismic loads is developed. Non-stationary vibrations of a building under the seismic loads are investigated. The governing non-linear dynamical equations are integrated numerically by the Runge-Kutta method. The rational locations of friction dampers are determined ensuring the minimal inter-storey drifts and accelerations of the building. The obtained results can be used in the design of houses and structures with enhanced resistance to seismic and dynamic impacts.