A finite element/quaternion/asymptotic numerical method for the 3D simulation of flexible cables
Type
Articles dans des revues avec comité de lectureDate
2018Journal
Finite Elements in Analysis and DesignRésumé
In this paper, a method for the quasi-static simulation of flexible cables assembly in the context of automotive industry is presented. The cables geometry and behavior encourage to employ a geometrically exact beam model. The 3D kinematics is then based on the position of the centerline and on the orientation of the cross-sections, which is here represented by rotational quaternions. Their algebraic nature leads to a polynomial form of equilibrium equations. The continuous equations obtained are then discretized by the finite element method and easily recast under quadratic form by introducing additional slave variables. The asymptotic numerical method, a powerful solver for systems of quadratic equations, is then employed for the continuation of the branches of solution. The originality of this paper stands in the combination of all these methods which leads to a fast and accurate tool for the assembly process of cables. This is proved by running several classical validation tests and an industry-like example.
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- LISPEN_FEAD_2018_COTTENCEAU.pdf
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- LISPEN _ FEAD_2018_COTTENCEAU
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Documents liés
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COTTANCEAU, Emmanuel; THOMAS, Olivier; VERON, Philippe; ALOCHET, Marc; DELIGNY, Renaud (ICTAM, 2016)A flexible cable is modeled by a geometrically exact beam model with 3D rotations described using quaternion parameters. The boundary value problem is then discretized by the finite element method. The use of an asymptotic ...
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COTTANCEAU, Emmanuel; THOMAS, Olivier; VÉRON, Philippe; ALOCHET, Marc; DELIGNY, Renaud (Elsevier BV, 2018)In this paper, a method for the quasi-static simulation of flexible cables assembly in the context of automotive industry is presented. The cables geometry and behavior encourage to employ a geometrically exact beam model. ...
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LOU, Ruding; GIANNINI, Franca; PERNOT, Jean-Philippe; MIKCHEVITECH, Alexei; VERON, Philippe; FALCIDIENO, Bianca; MARC, Raphael (Tools and Methods for Competitive Engineering (TMCE'10), 2010)Nowadays, the mainstream methodology for product behavior analysis and improvement relies on the fol-lowing steps: 1) conceptual solution proposal and CAD prototyping, 2) mesh model creation for Finite Element (FE) analysis, ...
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LOU, Ruding; GIANNINI, Franca; FALCIDIENO, Bianca; PERNOT, Jean-Philippe; VERON, Philippe; MIKCHEVITCH, Alexei; MARC, Raphael (World Scientific Publishing Company, 2010)Behaviour analysis loop is largely performed on virtual product model before its physical manufacturing. The last avoids high expenses in terms of money and time spent on intermediate manufacturing. It is gainful from the ...
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LOU, Ruding; PERNOT, Jean-Philippe; VERON, Philippe; GIANNINI, Franca; FALCIDIENO, Bianca; MIKCHEVITCH, Alexei; MARC, Raphael (IEEE Computer Society, 2010)Advances in modeling of discrete models have allowed the development of approaches for direct mesh modeling and modification. These tools mainly focus on modeling the visual appearance of the shape which is a key criterion ...