Numerical implementation of method of subsequent perturbation of parameters for computation of stress-strain state of a shell rigidly fixed on the boundaries

The Karman model for a shell rectangular in the plan with rigid fixation of the boundaries is considered. An orthonormalized system of basis functions satisfying the boundary conditions of the problem is obtained. Linearization of the problem is given and the solution is obtained by the method of subsequent perturbation of parameters due to Vladlen V. Petrov. The solutions including supporting intermediate results for the shell made of rolled duralumin are discussed.