Naslov
Full clamping element functions for improving finite element solution

Autori
Nikolić, Željana ; Mihanović, Ante ; Marović, Pavao

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Fifth World Congress on computational Mechanics - Book of Abstracts - Volume II / Eberhardsteiner, Josef ; Mang, Herbert A. - Beč : Vienna University of Technology, 2002, II-554

Skup
Fifth World Congress on computational Mechanics

Mjesto i datum
Beč, Austrija, 07.07.2002. - 12.07.2002

Vrsta sudjelovanja
Poster

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
finite element method; full clamping functions; exact displacement method

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Građevinarstvo

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