Stress-strain state of shells with rectangular holes

Abstract

The stress-strain state of shallow shells with large rectangular holes was investigated. The use of the apparatus of special discontinuous functions reduces the problem to the solution of a fourth-order differential equation for a complex deflection-force function with variable coefficients in the form of delta functions, their derivatives, and column functions. The solution is presented in the form of systems of basis functions composed of series of special functions reflecting the discontinuous character of the forces and moments and having rapid convergence both in the local zone near the hole and in continuous zones. This made it possible to construct effective calculation algorithms and to take into account stress concentration near the corners of the hole.