The main objective of this work is to propose some regularization techniques for modeling contact actions in a clutch system and to solve the obtained nonlinear dynamic problem by a high-order algorithm. This device is modeled by a discrete mechanical system with eleven degrees of freedom. In several works, the discontinuous models of the contact actions are replaced by the smoothed functions using the hyperbolic tangent. We propose, in this work, to replace the discontinuous model by a regularized model with new continuous functions that permit us to search the solution under Taylor series expansion. This regularized model approaches better the discontinuous model than the model based on the smoothing functions, especially in the vicinity of the zone of singularities. To solve the equations of motion of discrete mechanical systems, we propose to use a high-order algorithm combining a time discretization, a change of variable based on the previous time, a homotopy transformation and Taylor series expansion in the continuation process. The results obtained by this modeling are compared with those computed by the Newton–Raphson algorithm.
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@article{CRMECA_2017__345_11_764_0,
author = {Youssef Hilali and Bouazza Braikat and Hassane Lahmam and Noureddine Damil},
title = {Effect of regularized functions on the dynamic response of a clutch system using a high-order algorithm},
journal = {Comptes Rendus. M\'ecanique},
pages = {764--778},
publisher = {Elsevier},
volume = {345},
number = {11},
year = {2017},
doi = {10.1016/j.crme.2017.08.002},
language = {en},
}
TY - JOUR AU - Youssef Hilali AU - Bouazza Braikat AU - Hassane Lahmam AU - Noureddine Damil TI - Effect of regularized functions on the dynamic response of a clutch system using a high-order algorithm JO - Comptes Rendus. Mécanique PY - 2017 SP - 764 EP - 778 VL - 345 IS - 11 PB - Elsevier DO - 10.1016/j.crme.2017.08.002 LA - en ID - CRMECA_2017__345_11_764_0 ER -
%0 Journal Article %A Youssef Hilali %A Bouazza Braikat %A Hassane Lahmam %A Noureddine Damil %T Effect of regularized functions on the dynamic response of a clutch system using a high-order algorithm %J Comptes Rendus. Mécanique %D 2017 %P 764-778 %V 345 %N 11 %I Elsevier %R 10.1016/j.crme.2017.08.002 %G en %F CRMECA_2017__345_11_764_0
Youssef Hilali; Bouazza Braikat; Hassane Lahmam; Noureddine Damil. Effect of regularized functions on the dynamic response of a clutch system using a high-order algorithm. Comptes Rendus. Mécanique, Volume 345 (2017) no. 11, pp. 764-778. doi : 10.1016/j.crme.2017.08.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2017.08.002/
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