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Full clamping element functions for improving finite element solution (CROSBI ID 486622)

Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija

Nikolić, Željana ; Mihanović, Ante ; Marović, Pavao Full clamping element functions for improving finite element solution // Internet Proceedings of the Fifth World Congress on Computational Mechanics / Eberhardsteiner, Josef ; Mang, Herbert A. (ur.). Beč: Vienna University of Technology, 2002. str. 80091/1-9-x

Podaci o odgovornosti

Nikolić, Željana ; Mihanović, Ante ; Marović, Pavao

engleski

Full clamping element functions for improving finite element solution

This paper presents a procedure for obtaining an improved finite element solution of boundary problems by estimating the principle of exact displacement method in the finite element technique. The displacement field is approximated by two types of functions: the shape functions satisfying the homogeneous differential equilibrium equation and the full clamping element functions as a particular solution of the differential equation between the nodes. The shape functions are orthogonal with the full clamping functions, therefore, an improved numerical solution is obtained without an increase of the global basis. The full clamping functions represent the solution of the full clamping state on finite elements. The full clamping state at the nodes is satisfied by the selection of the element functions between the functions with full fixed displacements at all finite element nodes. If those functions are taken as exact solutions of the deflection line or surface at the full clamping finite element for the determined type of load, than the full clamping state is satisfied over the whole element. When it is imposible to obtain the exact solution for the determined type of load and element, the best possible aproximation of that solution can be applied. A number of the full clamping functions depends on a number of different loads on the element. This principle is generally applicable to different finite elements. The best results are obtained for the finite elements with an independent translational and rotational degrees of freedom at each node. The contribution of introducing the full clamping element functions is demonstrated in the solution procedure of thin plates. The quadrilateral plate element with one nodal displacement and two nodal rotations is used. An improved numerical solution at the finite element nodes and over the whole finite element is obtained. The accuracy of the solution inside the finite elements is of the same order as at the nodes.

finite element analysis; displacement method; shape functions; full clamping functions

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Podaci o prilogu

80091/1-9-x.

2002.

objavljeno

Podaci o matičnoj publikaciji

Internet Proceedings of the Fifth World Congress on Computational Mechanics

Eberhardsteiner, Josef ; Mang, Herbert A.

Beč: Vienna University of Technology

Podaci o skupu

Fifth World Congress on Computational Mechanics

poster

07.07.2002-12.07.2002

Beč, Austrija

Povezanost rada

Građevinarstvo, Temeljne tehničke znanosti