engleski

Finite element solution improved by full clamping element function

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.

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

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