THE SOLUTION OF PROBLEMS IN ELASTICITY THEORY BY COMPLETE-SYSTEM METHODS

The main points of complete-system methods are presented as it applies to solving problems concerning the static and free vibrations of inhomogeneous anisotropic bodies in a variational setting. The characteristic feature of these method is the reduction of an initially N-dimensional problem to a system of N interrelated one-dimensional problems. Unlike the common variational approaches, one no longer has any freedom with regard to the choice of basis functions with respect to some of the independent variables. Some computational aspects of the approach are illustrated by a specific example.