.. _R3.08.02:

**r3.08.02** Cable modeling
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**Summary**:

Cables are flexible structures that can be subject to great displacements. Their analysis is therefore non-linear. From a mechanical point of view, a cable cannot withstand any moment and is only the seat of a normal force called tension. The expression of virtual work and its differentiation from displacements lead to finite element modeling: stiffness matrix dependent on the displacement of the nodes and constant mass matrix. The static and dynamic iterative algorithms are presented. Two examples are given: one, static, is the search for the balance figure of a cable subjected to a given horizontal tension; the other, dynamic, is the comparison between finite element calculations and the results of short circuit tests. Finally, four appendices deal with: the calculation of Laplace forces, the evolution of the temperature of a cable subjected to the Joule effect, the force exerted by the wind and the modeling of the installation operation.




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    Notations
    Introduction
    Hypoth_ses_m_caniques
    Application_du_Principe_des_Travaux_Virtuels
    Lin_arisation
    R_alisation_num_rique_par_les__l_ments_finis
    Cas_particulier_des__l_ments_de_c_ble___deux_n_uds
    Utilisation_dans_Code_Aster
    Probl_me_statique
    Probl_me_dynamique
    Conclusion
    Bibliographie