Аннотация:One of the most destructive effects of earthquakes upon buildings and other
constructions is due to horizontal displacement of the ground. This paper proposes a
simplified approach to description of behavior of tower-like structures in such
conditions. For this aim, a plane-parallel motion of a rigid body over horizontal plane
with dry friction is considered. It is assumed that the plane performs harmonic
oscillations in horizontal direction. In order to describe collisions between the body
and the supporting plane, Routh hypothesis is used. Conditions of overturning of the
body are obtained for different values of amplitude and frequency of oscillations of
the plane, depending on model parameters, such as body aspect ratio, friction
coefficient, coefficient of restitution, etc.