General and local stability of multi-storey buildings under dynamic and seismic influences

The issues of general and local stability of multi-storey buildings and high-rise structures under emergency (explosions, earthquakes) loads are considered. Differential equations describing three-dimensional translational and three-dimensional rotational oscillations are given. Dependences of local and general stability estimation are obtained. A numerical example is given that takes into account local stability in higher forms of oscillation. At the same time, the behavior of a real 16-storey frame building in Leninakan during the earthquake in Spitak on December 7, 1988 is analyzed. The main causes of loss of stability and destruction are carried out.