Open AccessMeshfree Methods of Airframe Stress Analysis
Author(s) -
N. S. Kalutskiy
Publication year - 2021
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1024/1/012007
Subject(s) - airframe , meshfree methods , finite element method , stringer , diffuse element method , computer science , function (biology) , stress (linguistics) , basis function , mathematics , structural engineering , mathematical analysis , boundary knot method , engineering , boundary element method , evolutionary biology , biology , aerospace engineering , linguistics , philosophy
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.