Abstract
Present-day meshfree methods of numerical computer analysis of structures have been analyzed in this article. Principal mathematical ratios used in meshfree methods have been provided. Building of a shape function, one of the principal problems of the meshfree method, has been discussed, and an algorithm for the building of a shape function by using polynomial basis functions has been proposed. The algorithm developed has been tested on solving an elementary problem. The Conclusion section of this article contains solution results of a practically important problem of mechanical stress concentrations in a typical aircraft stringer. Comparative analysis of the accuracy of the results obtained by the conventional FEM and the meshfree method proposed has been conducted.
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