Abstract
In the article, based on the finite element method, the main stages of the study of free oscillations are given, since the separation of normal coordinates in the system of differential equations of vibrations of structures is possible only with constant global stiffness and damping matrices of the system. The method of calculating the stress-strain state of the subway escalator tunnel structure under the influence of both constant and seismic loads, as well as with a special combination of loads, is given in order to scientifically substantiate the design and construction of its lining made of monolithic reinforced concrete in Almaty, which allows, in general, to obtain significant economic efficiency compared with the traditional method of lining made of cast-iron tubing. A comparative analysis of the stress-strain state of the lining is performed from the main combination of loads, seismic impact and a special combination of operational loads. The authors proposed a finite element design scheme of the lining and the surrounding soil massif. The analysis of the distribution of vertical displacements in the tunnel lining is carried out on the basis of the application of the dynamic theory of seismic resistance for building structures of special responsibility.