CIMEC   24726
CENTRO DE INVESTIGACION DE METODOS COMPUTACIONALES
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Nonsmooth generalized-alpha scheme for the simulation of flexible multibody systems with impacts
Autor/es:
ALBERTO CARDONA; FEDERICO CAVALIERI; OLIVIER BRULS; VINCENT ACARY
Lugar:
Buenos Aires
Reunión:
Congreso; PANACM 2015 - 1st Pan-American Congress on Computational Mechanics, in conjunction with the 11th Argentine Congress on Computational Mechanics, MECOM 2015; 2015
Institución organizadora:
CIMNE - AMCA - IACM
Resumen:
This paper studies numerical algorithms for the simulation of mechanical systems includingrigid and flexible bodies, kinematic joints and frictionless contact conditions. Thecondition of impenetrability of the bodies in contact is expressed as a unilateral constraint,with the consequence that impacts and/or instantaneous changes in the velocitiesmay arise in the dynamic response.When dynamic contacts are analyzed between elastic solids and structures, the gap velocityis necessarily discontinuous otherwise a non-physical penetration of the bodies wouldoccur. When contacts between rigid bodies are studied, e.g., in multibody systems, impulsive reaction forces can also occur leading to an instantaneous change in the linearand angular momenta of each body. Standard schemes, such as the Newmark, HHT orgeneralized- methods, are not consistent in these cases since the numerical responsemay articially generate energy when a contact occurs. In order to analyze impact phenomena, nonsmooth time integration methods have been proposed in the literature andcan be classied into two main groups, namely, event-driven schemes and time-steppingschemes. Event-driven schemes are accurate for the free flight smooth motions and areespecially suitable for small multi-body systems with a limited number of events, but theybecome inecient if frequent transitions occur in a short time. Time-stepping methods,such as Moreau-Jean scheme, have been proven to be convergent and robust even for alarge number of events, and are extensively applied as the solution to nonsmooth systemmodels.