A POSITION-BASED TIME-STEPPING ALGORITHM FOR VIBRO-IMPACT PROBLEMS WITH A MOVING SET OF CONSTRAINTS

Confluentes Mathematici

PAOLI, LAETITIA¹ 

[1] LaMUSE, University of Lyon, 23 rue Paul Michelon, Saint-Etienne, 42023 Cedex 2, France

关键词: Vibro-impact problems;    multi-constraint case;    time-dependent constraints;    inelastic shocks;    time-stepping scheme;   

DOI  :  10.1142/S179374421100031X

学科分类：数学（综合）

来源: World Scientific Publishing Co. Pte. Ltd.

【 摘 要 】

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.

【 授权许可】

Unknown