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Communication Dans Un Congrès Année : 2016

A finite element/quaternion/asymptotic numerical method for the 3D simulation of flexible cables

Résumé

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 numerical method to solve the problem, quadratic equations, is well suited to the quaternion parametrization. This combination of methods leads to a fast, robust and accurate algorithm very well-adapted for the simulation of the assembly process of cables. This is proved by running many examples involving complicated solutions.
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Dates et versions

hal-01412469 , version 1 (08-12-2016)

Identifiants

  • HAL Id : hal-01412469 , version 1
  • ENSAM : http://hdl.handle.net/10985/11412

Citer

Emmanuel Cottanceau, Olivier Thomas, Philippe Veron, Marc Alochet, Renaud Deligny. A finite element/quaternion/asymptotic numerical method for the 3D simulation of flexible cables. International Congress of Theoretical and Applied Mechanics (Montréal; 24 ; 2016), Aug 2016, Montréal, Canada. pp.1-2. ⟨hal-01412469⟩
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