Open AccessUMERICAL SOLUTION OF THE PROBLEM OF BEAM ANALYSIS WITH THE USE OF B-SPLINE FINITE ELEMENT METHOD
Author(s) -
Pavel А. Akimov,
Marina L. Mozgaleva,
Таймураз Кайтуков
Publication year - 2020
Publication title -
international journal for computational civil and structural engineering
Language(s) - English
Resource type - Journals
eISSN - 2588-0195
pISSN - 2587-9618
DOI - 10.22337/2587-9618-2020-16-3-12-22
Subject(s) - spline (mechanical) , finite element method , basis (linear algebra) , beam (structure) , mathematics , bernoulli's principle , b spline , mathematical analysis , structural engineering , engineering , geometry , aerospace engineering
Numerical solution of the problem of beam analysis (bending analysis of the Bernoulli beam) with the use of B-spline finiteelement method is under consideration in the distinctive paper. The original continual and finiteelement formulations of the problem are given, some actual aspects of construction of normalized basis functions of a B-spline are considered, the corresponding local constructions for an arbitrary finiteelement are described, some information about the numerical implementation and an example of analysis are presented.