methodology research of stability of shallow orthotropic shells of double curvature under dynamic loading

The paper deals with shallow orthotropic shells of double curvature, square in plan, under dynamic loading. Outlines the ratios of the mathematical model of deformation considering the geometric nonlinearity, transverse shear and orthotropy material. For the formation of the ODE system is used method of Kantorovich. The resulting system is solved by the method of Rosenbrock. It is shown the verification of the proposed method for isotropic shells. For several options orthotropic shells made of fiberglass and carbon fiber studied their stability and obtained values of critical loads.