Computational Modeling of Structural Problems using Atomic Basis Functions (CROSBI ID 615751)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Kozulić, Vedrana ; Gotovac, Blaž
engleski
Computational Modeling of Structural Problems using Atomic Basis Functions
This paper presents application of the Fupn(x) basis functions in numerical modeling of different engineering problems. Fupn(x) basis functions belong to a class of atomic functions which are infinitely-differentiable functions with compact support. The collocation method has been applied in development of numerical models. A system of algebraic equations is formed in which differential equation of the problem is satisfied in collocation points of a closed domain while boundary conditions are satisfied exactly at the domain boundary. In such a way, required accuracy of approximate solution is obtained simply by increase in the number of basis functions. So, this concept represents a fully mesh free method. Properties of atomic basis functions enable hierarchic expansion of approximate solution base either in the entire domain or in its segments. Presented numerical models are illustrated by examples of the torsion of prismatic bars, elasto-plastic analyses of beam bending and thin plate bending problems. The results of the analyses are compared with the existing exact and relevant numerical solutions. It can be concluded that the possibility of hierarchically expanding the number of basis functions in the domain significantly accelerates the convergence of a numerical procedure in a simple way. Values of the main solution function, e.g. displacements, and all the values derived from the main solution of the problem such as stresses, bending moments and transversal forces, are calculated in the same points and with the same degree of accuracy since numerical integration is avoided.
numerical modeling; mesh free method; atomic basis functions; collocation
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Podaci o prilogu
2014.
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objavljeno
Podaci o matičnoj publikaciji
Abstract Book - ACEX2014 - Paris, France
Oechsner, Andreas
Pariz: ICC - International Conferences and Courses Limited - ACEX Conference
Podaci o skupu
8th International Conference on Advanced Computational Engineering and Experimenting, ACE- X 2014
predavanje
30.06.2014-03.07.2014
Pariz, Francuska