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We consider a second-order measure differential inclusion describing the dynamics of a mechanical system subjected to time-dependent frictionless unilateral constraints and we assume inelastic collisions when the contraints are saturated. For this model of impact, we propose a time-stepping algorithm formulated at the position level and we establish its convergence to a solution of the Cauchy problem.
@article{CML_2011__3_2_263_0, author = {Paoli, Laetitia}, title = {A position-based time-stepping algorithm for vibro-impact problems with a moving set of constraints}, journal = {Confluentes Mathematici}, pages = {263--290}, publisher = {World Scientific Publishing Co Pte Ltd}, volume = {3}, number = {2}, year = {2011}, doi = {10.1142/S179374421100031X}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.1142/S179374421100031X/} }
TY - JOUR AU - Paoli, Laetitia TI - A position-based time-stepping algorithm for vibro-impact problems with a moving set of constraints JO - Confluentes Mathematici PY - 2011 SP - 263 EP - 290 VL - 3 IS - 2 PB - World Scientific Publishing Co Pte Ltd UR - http://geodesic.mathdoc.fr/articles/10.1142/S179374421100031X/ DO - 10.1142/S179374421100031X LA - en ID - CML_2011__3_2_263_0 ER -
%0 Journal Article %A Paoli, Laetitia %T A position-based time-stepping algorithm for vibro-impact problems with a moving set of constraints %J Confluentes Mathematici %D 2011 %P 263-290 %V 3 %N 2 %I World Scientific Publishing Co Pte Ltd %U http://geodesic.mathdoc.fr/articles/10.1142/S179374421100031X/ %R 10.1142/S179374421100031X %G en %F CML_2011__3_2_263_0
Paoli, Laetitia. A position-based time-stepping algorithm for vibro-impact problems with a moving set of constraints. Confluentes Mathematici, Tome 3 (2011) no. 2, pp. 263-290. doi: 10.1142/S179374421100031X
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