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1	Blending using ODE swept surfaces with shape control and C1 continuity You, L.H., Ugail, Hassan, Tang, B.P., Jin, X., You, X.Y., Zhang, J.J. 20 April 2014 (has links) No / Surface blending with tangential continuity is most widely applied in computer-aided design, manufacturing systems, and geometric modeling. In this paper, we propose a new blending method to effectively control the shape of blending surfaces, which can also satisfy the blending constraints of tangent continuity exactly. This new blending method is based on the concept of swept surfaces controlled by a vector-valued fourth order ordinary differential equation (ODE). It creates blending surfaces by sweeping a generator along two trimlines and making the generator exactly satisfy the tangential constraints at the trimlines. The shape of blending surfaces is controlled by manipulating the generator with the solution to a vector-valued fourth order ODE. This new blending methods have the following advantages: (1) exact satisfaction of C1C1 continuous blending boundary constraints, (2) effective shape control of blending surfaces, (3) high computing efficiency due to explicit mathematical representation of blending surfaces, and (4) ability to blend multiple (more than two) primary surfaces.
2	Una familia de elementos simples conformes clase C1 Torres 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. ciencias tecnológicas ingeniería estructural puentes tecnología de la construcción funciones a trozos continuidad C1 familia jerárquica láminas placas technological sciencies structurural engineering bridges constructional techology piecewise functions C1 continuity hierarchical family shells plates 62 621 624

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Blending using ODE swept surfaces with shape control and C1 continuity

Una familia de elementos simples conformes clase C1