Full clamping element functions for improving finite element solution (CROSBI ID 486622)
Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija
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