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 = {Laetitia Paoli},
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 = {https://cml.centre-mersenne.org/articles/10.1142/S179374421100031X/}
}
TY - JOUR AU - Laetitia Paoli 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 - https://cml.centre-mersenne.org/articles/10.1142/S179374421100031X/ DO - 10.1142/S179374421100031X LA - en ID - CML_2011__3_2_263_0 ER -
%0 Journal Article %A Laetitia Paoli %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 https://cml.centre-mersenne.org/articles/10.1142/S179374421100031X/ %R 10.1142/S179374421100031X %G en %F CML_2011__3_2_263_0
Laetitia Paoli. 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. https://cml.centre-mersenne.org/articles/10.1142/S179374421100031X/
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