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Damping efficiency of the Tchamwa–Wielgosz explicit dissipative scheme under instantaneous loading conditions

Abstract : To deal with dynamic and wave propagation problems, dissipative methods are often used to reduce the effects of the spurious oscillations induced by the spatial and time discretization procedures. Among the many dissipative methods available, the Tchamwa–Wielgosz (TW) explicit scheme is particularly useful because it damps out the spurious oscillations occurring in the highest frequency domain. The theoretical study performed here shows that the TW scheme is decentered to the right, and that the damping can be attributed to a nodal displacement perturbation. The FEM study carried out using instantaneous 1-D and 3-D compression loads shows that it is useful to display the damping versus the number of time steps in order to obtain a constant damping efficiency whatever the size of element used for the regular meshing. A study on the responses obtained with irregular meshes shows that the TW scheme is only slightly sensitive to the spatial discretization procedure used.
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https://hal.archives-ouvertes.fr/hal-02115077
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Submitted on : Friday, March 25, 2022 - 6:55:06 PM
Last modification on : Saturday, October 22, 2022 - 4:55:46 AM
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Laurent Mahéo, Vincent Grolleau, Gérard Rio. Damping efficiency of the Tchamwa–Wielgosz explicit dissipative scheme under instantaneous loading conditions. Comptes Rendus Mécanique, 2009, 337 (11-12), pp.722-732. ⟨10.1016/j.crme.2009.10.005⟩. ⟨hal-02115077⟩

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