Seismic vibrations of multi-storey buildings within the framework of the plate model

A continual plate-like dynamic model of a multi-storey building is proposed in the form of a cantilevered orthotropic plate developed in the framework of Timoshenko's theory of plates, which describes the seismic vibrations of buildings. Formulas are given for determining the reduced moduli of elasticity, shear, and density of a plate-like model of a building. The transverse vibrations of the building under seismic effects are considered. Numerical results are obtained.