Nonlinear static isogeometric analysis of cable structures
| Autor: | Zeljan Lozina, Damir Sedlar, Andjela Bartulovic |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Computer science
Mechanical Engineering Basis function 02 engineering and technology Isogeometric analysis Static analysis 01 natural sciences Numerical integration Nonlinear system 020303 mechanical engineering & transports 0203 mechanical engineering 0103 physical sciences Displacement field Benchmark (computing) Applied mathematics Element (category theory) Cable element Lagrangian formulation Nonlinear isogeometric analysis 010301 acoustics |
| Zdroj: | Archive of Applied Mechanics. 89:713-729 |
| ISSN: | 1432-0681 0939-1533 |
| DOI: | 10.1007/s00419-018-1489-0 |
| Popis: | The purpose of this paper is to develop and evaluate the efficiency of the cable element based on the Lagrangian formulation using the Isogeometric analysis (IGA) approach. Two Lagrangian formulations (Total Lagrangian and Updated Lagrangian) have been adopted in the static analysis of nonlinear behaviour of the cable structures. The same basis functions are used to represent the geometry of the cable as well as the cable displacement field. These two formulations are tested on benchmark examples and compared to each other and to the existing analysis methods. The influence of a different number of elements, the order of polynomials and the number of numerical integration points was examined. Compared to the other method, the obtained results in benchmark examples indicate the capability and accuracy of the presented approach. This paper demonstrates successful IGA implementation of the Lagrangian formulation for the nonlinear analysis of cable structures. |
| Databáze: | OpenAIRE |
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