A computational model for multiple collisions of rigid bodies: An extension of A-CD2 method

Roberto León, Luis Salinas, Claudio E. Torres

Resultado de la investigación: Contribución a los tipos de informe/libroContribución a la conferencia

Resumen

The A-CD2 method gives a mechanical description for instantaneous collisions between rigid bodies. This method considers a solid that moves with constant velocity in the intervals [t1, tc[ and ]tc, t2]. The contact points at tc are computed with the current position and the new velocities, due to the collision at tc, are calculated by means of a constrained optimization problem. Several applications have used this method. When the solid is governed by a torque free motion, the velocities are not necessarily constants, because depend on the moments of inertia. This behavior is not included in the ACD2 method, since constant velocities are considered. An extension includes the use of the Euler equations for modeling the angular velocities, when the body is torque free. Therefore, non constant angular velocities are obtained when the moments of inertia are different. An important result is the reduction in the computational complexity of the original algorithm, from O(N2) to O(N), mainly due to the contact detection stage. This reduction allows to handle problem 20 times larger than the original. Numerical simulations for granular layers motion are presented.

Idioma originalInglés
Título de la publicación alojadaProceedings of the 6th European Conference on Computational Mechanics
Subtítulo de la publicación alojadaSolids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018
EditoresRoger Owen, Rene de Borst, Jason Reese, Chris Pearce
EditorialInternational Centre for Numerical Methods in Engineering, CIMNE
Páginas1896-1905
Número de páginas10
ISBN (versión digital)9788494731167
EstadoPublicada - 1 ene 2020
Evento6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018 - Glasgow, Reino Unido
Duración: 11 jun 201815 jun 2018

Serie de la publicación

NombreProceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018

Conferencia

Conferencia6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018
PaísReino Unido
CiudadGlasgow
Período11/06/1815/06/18

    Huella digital

Áreas temáticas de ASJC Scopus

  • Informática aplicada
  • Teoría computacional y matemáticas
  • Mecánica de materiales
  • Ingeniería mecánica

Citar esto

León, R., Salinas, L., & Torres, C. E. (2020). A computational model for multiple collisions of rigid bodies: An extension of A-CD2 method. En R. Owen, R. de Borst, J. Reese, & C. Pearce (Eds.), Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018 (pp. 1896-1905). (Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018). International Centre for Numerical Methods in Engineering, CIMNE.