The paper is devoted to improving the theory of bending and vibrations of three-layer plates with transverse compressible filler and thin outer bearing layers. For the outer layers, the Kirchhoff-Love hypothesis is accepted and the motion of their points is described by the equations of the theory of thin plates relative to forces and moments. Unlikebearinglayers, a filler is considered as a three-dimensional body that does not obey any simplifying hypotheses. The equations of the bimoment theory of thick plates with respect to forces, moments and bimoments, created in the framework of the three-dimensional theory of elasticity, taking into account the nonlinearity of the distribution law of displacements and stresses over the thickness, are taken as the equations of motion of the filler. Expressions of forces, moments, and bimoments in the layers, as well as boundary conditions at the edges of a three-layer plate with respect to force factors are given. In the conjugate zones of the layers, the complete contact conditions for the continuity of displacements and stresses are set. An example is considered and numerical results are obtained.

The methods for solving the problems of natural vibrations of structurally inhomogeneous, multi-connected, axisymmetric shell structures based on the hereditary theory of viscoelasticity are given in the paper. Using the basic relations of the hereditary theory of viscoelasticity and asymptotic methods, the problem of natural vibrations of structurally inhomogeneous, multi-connected, axisymmetric shell structures is reduced to the effectively solvable mathematical problem of complex eigenvalues, in which approximate engineering methods are proposed.

The new approach for numerical calculating of stress and strain state of underground structures is presented in this issue. The advantage of this method is using in design scheme a real diagram of concrete and reinforcement materials. Also, these calculations are allowed to trace the process of deformation of reinforced concrete in each of the sections of the structure. In the technique, static calculations of reinforced structural elements when changing their initial conditions or stress state after strengthening are carried out taking into account new data. A three-dimensional finite element calculation is also carried out while taking into account regulatory loads. Assessment of levels of tangential and tensile stresses in walls makes it possible to target reinforcement and parameters of monolithic stiffness belts. Numerical results for discussion are presented in this paper.

Stability of railway roadbed in mountain area are considered in proposed issue. Real object in new railway with taking comprehensive analysis of geological data in site and morphology of slide slopes in seismic prone area was investigated.

Central Asian region is an earthquake prone zone. At water management engineering, one of the central and great role play dams, water supply systems, etc. The seismic safety of these objects has great importance. In areas subject to seismic effect, the cases were observed when such structures were significantly damaged, and in some cases even destroyed. It leads to the long-term shutdown of the main water supply systems and it causing great material losses. The main aim of the issue is an analysis of the effects of strong earthquakes for waterworks facilities, proposing measures that are necessary for the urgent determination of the technical condition of an operating structure and the development of recommendations for further safe operation. There were considered lessons from past events also and strategies for sustainable development in the future by taking into account local features.