Naslov
Finite element solution improved by full clamping element function

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

Izvornik
Engineering computations (0264-4401) 18 (2001), 5/6; 786-801

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
finite element analysis; basis functions; full clamping element functions; solution improvement; frame structures; thin plates.

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 basis functions satisfying the homogeneous differential equation and the full clamping element functions as a particular solution of the differential equation between the nodes. The full clamping functions represent the solution of the full clamping state on finite elements. An improved numerical solution of displacements, strains, stresses and internal forces, not only at nodes but over the whole finite element, is obtained without an increase of the global basis because the potential energetic orthogonality exists between the basis functions and full clamping functions. This principle is generally applicable to different finite elements. The contribution of introducing two types of basis functions based on the principle of the exact displacement method is showed in the solution procedure of frame structures and thin plates.

Izvorni jezik
Engleski

Znanstvena područja
Građevinarstvo

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