About Method of Basis (Local) Variations and its Applications in Structural Analysis

This paper is devoted to so-called method of basis (local) variations, proposed by A.B. Zolotov, and its applications in structural analysis. Combination of method of basis variation and effectively with finite element method (FEM) or variation-difference method (VDM) for formulation of resolving (resultant) system of linear algebraic equations. Theoretical foundations of this method are presented. Basic formulas for linear and non-linear problems of structural mechanics are given.