Memorias de investigación
Ponencias en congresos:
Symmetry-preserving formulation of nonlinear constraints in multibody dynamics
Año:2018
Áreas de investigación
  • Ingeniería mecánica, aeronaútica y naval
Datos
Descripción
Practical multibody numerical models are typically composed by a set of bodies (rigid or deformable) linked by joints, represented by constraint equations. Thus, a proper formulation of constraints is an essential aspect in the numerical analysis of the dynamics of these models, and may be incorporated by means of Lagrange multipliers, Augmented Lagrangian or Penalty formulations. On the other hand, geometrical integrators are particular time-stepping schemes that have been successfully employed during the last decades in many applications, including multibody systems. One of them is the so-called Energy-Momentum (EM) scheme, that exhibits excellent stability and physical accuracy, but demanding a specific (consistent) formulation of constraints. In particular, EM penalty formulations are specially simple, based on the application of a discrete derivative of the constraint potential. However, this discrete derivative may take several forms, not all of them being consistent. In particular, when applied to constraint potentials endowed with certain symmetries (associated to the conservation of linear and angular momenta, found in many common practical joints), may produce numerical results that conserves the energy but violates the symmetries, thus obtaining unphysical motions. The discrete derivative proposed in this work, while first introduced several years ago, overcomes this problem, mainly due to its particular implementation. Its discrete properties related with energy and symmetries are analyzed and several numerical results of practical multibody models will be presented.
Internacional
No
Nombre congreso
1st Conference on Structural Dynamics (DinEst)
Tipo de participación
960
Lugar del congreso
Madrid
Revisores
Si
ISBN o ISSN
978-84-09-01733-1
DOI
Fecha inicio congreso
20/06/2018
Fecha fin congreso
21/06/2018
Desde la página
228
Hasta la página
231
Título de las actas
PROCEEDINGS OF THE DINEST 2018
Esta actividad pertenece a memorias de investigación
Participantes
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Grupo de Investigación: Grupo de Mecánica Computacional
  • Departamento: Mecánica de Medios Continuos y Teoría de Estructuras