The natural force density method for the shape finding of taut structures

Autor(es)

Pauletti, Ruy M. O. ^[1] ; Pimenta, Paulo M. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Polytech Sch, BR-05508900 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING; v. 197, n. 49-50, p. 4419-4428, 2008.
• Citações Web of Science: 34

Resumo

This work presents, with the aid of the natural approach, an extension of the force density method for the initial shape finding of cable and membrane structures, which leads to the solution of a system of linear equations. This method, here called the natural force density method, preserves the linearity which characterizes the original force density method. At the same time, it overcomes the difficulties that the original procedure presents to cope with irregular triangular finite element meshes. Furthermore, if this method is applied iteratively in the lines prescribed herewith, it leads to a viable initial configuration with a uniform, isotropic plane Cauchy stress state. This means that a minimal surface for the membrane can be achieved through a succession of equilibrated configurations. Several numerical examples illustrate the simplicity and robustness of the method. (C) 2008 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 06/04192-8 - An extension of the force density procedure to membrane structures
• Beneficiário: Ruy Marcelo de Oliveira Pauletti
• Modalidade de apoio: Auxílio à Pesquisa - Reunião - Exterior