Analysis of a Shell of Revolution Subjected to Axisymmetric Loading Taking into Account Geometric Nonlinearity on the Basis of the Mixed Finite Element Method

摘要

An algorithm is presented to obtain the deformation matrix for the annular finite element with a quadrilateral cross-section. The displacement and strain increments are taken as nodal unknowns. For numerical realization of the algorithm, we take the functional obtained using the principle of equal works for the internal and external forces at a step of loading. A newly developed version of approximating the unknown quantities allowed us to solve the problem of taking into account the finite element displacement as a rigid body.