Affiliation:
1. Moscow State University of Technology «STANKIN»
Abstract
In the article an automation system for analysis of stress-strain state of beam structures is considered. Unlike the finite element method, determining matrices are calculated using the sweep method in the Godunov’s form. Numerical solutions in this case can be gotten with almost any accuracy within accepted hypotheses of mathematical model for object calculation. It is assumed that beam elements can have variable along their axes physical and mechanical characteristics. External loads can also vary along the axes of beams. The paper contains examples that demonstrate the extremely high accuracy of the developed algorithms.
Publisher
Trans Tech Publications, Ltd.
Reference2 articles.
1. S.K. Godunov: Numerical solution of boundary-value problems for systems of linear ordinary differential equations. Uspekhi Mat. Nauk. Vol. 16 (1961), no. 3 (99), pp.171-174, in Russian.
2. A.V. Chekanin: Exact solutions of the vibration problem of beam structures. Applied Mechanics and Materials. Vol. 390 (2013), pp.242-245.