An energy-momentum algorithm for flexible multibody systems with finite element techniques

• Autorzy: Orden J. C. G. , Goicolea J. M.
• Konferencja: International Workshop on the Trefftz Method (2 ; 1999 ; Lisbon, Portugal)
• Języki publikacji: EN

Abstrakty

EN

A unified approach for the treatment of the non-linear dynamics of multibody systems (MBS) composed of both rigid and elastic bodies is proposed. Large displacements and rotations, large strains and non-linear elastic material response are considered for the elastic bodies. The proposed formulation exploits three key ingredients: the use of a dependent set of inertial coordinates of selected points of the system; the use of a basic constraint library enforced through the penalty method; the use of the energy-momentum method to integrate the equations. The proposed algorithm is set in the framework of a non-conventional finite element formulation, which combine naturally the displacement-based discretisation of the deformable bodies with rigid body mechanics. Two key performance features are achieved. The exact conservation of total momentum and total energy in conservative systems is ensured. The major drawback of the penalty method, namely numerical ill-conditioning that leads to stiff equation systems, is overcome.

Słowa kluczowe

EN

Trefftz method

PL

metoda Trefftza

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2001
• Tom: Vol. 8, No. 2-3
• Strony: 313--324
• Opis fizyczny: Bibliogr. 7 poz., rys., wykr.

Twórcy

autor

Orden J. C. G.

• Departament of Continuum Mechanics and Theory of Structures, Madrid University of Technology, Ciudad Universitaria, 28042 Madrid, Spain

autor

Goicolea J. M.

• Departament of Continuum Mechanics and Theory of Structures, Madrid University of Technology, Ciudad Universitaria, 28042 Madrid, Spain

Bibliografia

• [1] J.C. Simo, N. Tarnow. The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics. ZAMP, 43:757-793, (1992).
• [2] J. Garcia de Jalon, E. Bayo. Kinematic and dynamic simulation of multibody systems. Springer-Verlag, (1994).
• [3] O. Gonzalez, J.C. Simo. On the stability of symplectic and energy-momentum algorithms for non-linear Hamiltonian systems with symmetry. Computer Methods in Applied Mechanics and Engineering, (1996).
• [4] O. Gonzalez. Design and analysis of conserving integrators for nonlinear Hamiltonian systems with symmetry. PhD Thesis, Stanford University, Department of Mechanical Engineering, (1996).
• [5] J.M. Goicolea, J.C. Garc¶³a Orden. Dynamic analysis of rigid and deformable multibody systems with penalty methods and energy-momentum schemes, Comp. Meth. In Appl. Mech. and Eng., accepted for publication, (1999).
• [6] J.C. G. Orden, J.M. Goicolea. Conserving properties in constrained dynamics of °exible multibody systems.Multibody System Dynamics, accepted for publication, (1999).
• [7] J.C. G.Orden, Din¶amica de sistemas multicuerpo exibles empleando algoritmos conservativos. PhD Thesis, E.T.S.I. Caminos, Madrid, (1999).