Geometrical modeling of a metallic mesh deformation of the parabolic reflector M. S. Bukhtyak
Material type:
ArticleSubject(s): параболические рефлекторы | моделирование | геометрические модели | ортотропия | минимальные поверхностиGenre/Form: статьи в журналах Online resources: Click here to access online
In:
Mathematical models and computer simulations Vol. 8, № 4. P. 453-461Abstract: A geometrical model of the well-known “mattress” effect, which is similar to the one observed at the opening of an umbrella, is built. The main hypothesis is that the surface of metallic mesh of a parabolic reflector takes a form closed to the minimal surface in the isotropic case. The fact that, for the orthotropic metallic mesh, the sum of the principal curvatures is farther from zero than in the isotropic case is taken into account. The model’s reliability domain is thoroughly studied. The mathematical apparatus of the model is the classical differential geometry.
Библиогр.: 7 назв.
A geometrical model of the well-known “mattress” effect, which is similar to the one observed at the opening of an umbrella, is built. The main hypothesis is that the surface of metallic mesh of a parabolic reflector takes a form closed to the minimal surface in the isotropic case. The fact that, for the orthotropic metallic mesh, the sum of the principal curvatures is farther from zero than in the isotropic case is taken into account. The model’s reliability domain is thoroughly studied. The mathematical apparatus of the model is the classical differential geometry.
There are no comments on this title.