Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
Linear static analysis of cables by the Generalized Finite Element Method
Submission Author:
Leonardo Basso , PR , Brazil
Co-Authors:
Leonardo Basso, Marcos Arndt
Presenter: Leonardo Basso
doi://10.26678/ABCM.COBEM2021.COB2021-0665
Abstract
Cables have been extensively used as structural elements in suspension bridges, transmission lines, mooring lines, guyed towers, marine and off-shore constructions, cable trusses and roof structures. This is due to light weight of cables, their cost-effective construction and the possibility of pre-tensioning. The analysis of cable structures by the Finite Element Method (FEM) using straight elements usually requires a high number of degrees of freedom in order to obtain acceptable results for the cable profile and its properties, such as cable tension and length. Therefore, in this paper the Generalized Finite Element Method (GFEM) is studied with the use of several different enrichment functions, considering a linear and inextensible cable analysis. The results obtained by the GFEM using the proposed polynomial, trigonometric and hyperbolic enrichment functions are compared to analytical solutions found in literature and to linear and nonlinear solutions provided by other researchers. The computational cost is analyzed in terms of the total number of degrees of freedom and the program execution time. The condition number of the stiffness matrix in each analysis is also discussed.
Keywords
Generalized Finite Element Method, Linear Analysis, Cables
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