Applying the method of virtual elements to solving contact problems of shells of revolution interacting with surfaces of inconsistent shape

An approach based on the method of virtual elements is used to solve contact problem for a thin shell revolution lying rigid foundation. In this case, surface base has shape inconsistent with shell. The makes it possible determine area and pressure from unknown in two coordinate directions. Since not known advance, structurally nonlinear. A isotropic described by classical theory Kirchhoff–Love hypotheses. taken absolutely rigid, but presence an elastic gasket. equations are integrated S. K. Godunov’s discrete orthogonalization. To forces interaction between base, mixed structural mechanics used. With aim view, maximum discretized rectangular elements. constant value assumed each element obtained area, be zero where leaves base. Based assumptions, system linear algebraic constructed, which determines deflection circumference axis. can move away iterative procedures applied search real depends geometric parameters magnitude external load. As example, cylindrical (part tank car) gasket considered. It shown how change depending rigidity difference radii (inconsistency surfaces).