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Una familia de elementos simples conformes clase C1Torres Ruiz, Javier 01 March 1984 (has links)
Es una aplicación del método de los elementos finitos (M.E.F) al cálculo de losas delgadas isotrópicas. Es pues un desarrollo de la función solución en suma de funciones a trozos. Dentro del M.E.F se utilizan como funciones interpolantes polinomios (integración numérica sencilla).
La continuidad conseguida es C elevado a 1 (para el caso planteado representa convergencia monotónica ). Son elementos simples (de fácil extensión a láminas) y que forman una familia jerárquica (distintos grados de aproximación sin cambiar la malla). El primer elemento de la familia es el clough- felippa. Al final se dan resultados comparativos de algunas placas con otro tipo de elementos y la solución exacta. / It is an application of the Finite Element Method (F.E.M.) for Isotropic Thin Plates calculation.
The Deformation is developed as polynomial piecewise functions, which have easy integration.
The continuity demanded to de functions is C^1. With the chosen functions we have monotonic convergence.
These simple elements constitute a Hierarchical Family, which allow several degree of approximation with the same mesh. The first element of the family is the Clough-Felippa one.
The elements are of easy extension to shells.
It is given comparative results between plates with other elements and the exact solution.
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