Estimation of seismic resistance of multi-storey buildings based on a continuum model

Abstract

A dynamic continuum plate model of a multi-story building is proposed in the form of a cantilevered orthotropic plate, developed in the framework of Timoshenko’s theory of plates, which describes seismic vibrations of buildings. Formulas are given for determining the reduced moduli of elasticity, shear, and density of a plate model of a building. Transverse natural and forced oscillations of a nine-story building under nine-point seismic impacts are considered. Numerical results are obtained.