Topological mesh for shell structures

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• 作者：Rafael Jurado-Piñ ; a ; Luisa Mar&#xed ; a Gil-Mart&#xed ; n ; Enrique Hern&#xe1 ; ndez-Montes
• 关键词：Mapping ; Tension structures ; Topological mapping
• 刊名：Applied Mathematical Modelling
• 出版年：2009
• 出版时间：February 2009
• 年：2009
• 卷：33
• 期：2
• 页码：948-958
• 全文大小：1114 K

文摘

Recently a new technique for the meshing of tension structures has been developed by Hernández-Montes et al. [E. Hernández Montes, R. Jurado-Piña, E. Bayo, Topological mapping for tension structures, J. Struct. Eng. ASCE 132 (6) (2006) 970–977]. This new procedure was based on topology and it was specially designed for tension structures. In this paper an extension of this technique to shell structures is developed. Topological meshing may constitute the first step in the common iterative process of discretization to facilitate the resolution of a partial differential equation.

Topological meshing takes advantage of an important property of the force density method (FDM) proposed by Linkwitz and Schek [K. Linkwitz, H.J. Shek, Einige Bemerkung von vorsgepannten Seilnetzkonstruktionen, Ingenieur-Archv 40, Springer-Verlag, 1971, pp. 145–158] by which the initial position of the non-fixed nodes of the structure is not needed, only the connectivity of the nodes is necessary for the solution of the problem. Accordingly, a mapping method was recently presented based on topology; in contrast to the mapping methods used so far based exclusively on geometry. The most important contribution of this new approach is that due to mapping in topology, an initial guess of the tension structure equilibrium position is not needed as part of the solution process. The ease of implementation, the extension of the topology meshing and the application of this method to geometrically defined structures is also illustrated in this paper. Several examples are presented to illustrate the applicability of this new method.