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The deviation from the design shape of an underground structure cross-section and its influence on the structure stress state are under consideration. External loads, corrosion and peculiarities of construction techniques, are assumed as the most probable causes of the deviation. The influence of shape changing is estimated by the analytical design method for multilayer underground structures with layers of variable thickness. The method is based on a rigorous analytical solution of the corresponding plane problem...

A brief description of analytical methods used for seismic analysis of underground structures is given. The methods take into account deformation of tunnel linings caused by seismic waves propagating transversely to the tunnel axis. Different approaches used now for seismic design are compared, examples of calculation are given. Advantages and disadvantages of the approaches are discussed. A new approach to seismic design of underground objects located on the shallow depth or near interface of different rocks is p...