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Article Dans Une Revue International Journal of Solids and Structures Année : 2013

Mechanical modeling of helical structures accounting for translational invariance. Part 2 : Guided wave propagation under axial loads

Résumé

This paper corresponds to the second part of a study that aims at modeling helical structures accounting for translational invariance. In the Part 1 of this paper, the static behavior has been addressed using a helical homogenization approach which provides the stress state corresponding to axial loads. The latter is considered as a prestressed state, for elastic wave propagation analysis in helical waveguides, which is the subject of the Part 2 of this paper. Non destructive testing of springs and multi-wire strands is a potential application of the proposed model. Accounting for translational invariance, the elastodynamic equations of prestressed helical structures yield a 2D problem posed on the cross-section, corresponding to a so-called semi-analytical finite element (SAFE) formulation. For helical springs, the numerical model is validated with an analytical solution corresponding to a Timoshenko beam approximation. It is shown that the influence of the prestressed state is significant at low frequencies. Finally, a seven-wire strand subjected to axial loads is considered. The computed dispersion curves are compared to experimental data. Good agreement is obtained for the first compressional-like modes and their veering central frequency.
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Dates et versions

hal-01066387 , version 1 (22-09-2014)

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Fabien Treyssède, Ahmed Frikha, Patrice Cartraud. Mechanical modeling of helical structures accounting for translational invariance. Part 2 : Guided wave propagation under axial loads. International Journal of Solids and Structures, 2013, 50, pp.1383-1393. ⟨10.1016/j.ijsolstr.2013.01.006⟩. ⟨hal-01066387⟩
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