Dynamic analysis of rigid and deformable multibody systems with penalty methods and energy-momentum schemes

DOI10.1016/S0045-7825(99)00362-XzbMath0983.74027OpenAlexW1985451580MaRDI QIDQ1581997

José M. Goicolea, Juan Carlos García Orden

Publication date: 23 April 2002

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(99)00362-x

zbMATH Keywords

stabilityfinite element methodordinary differential equationscontinuum modelrigid bodypenalty methodlarge displacementdiscrete modeldependent variablesdeformable bodyconservation of total energyenergy-momentum time integration methodgeneral hyperelastic model

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Dynamics of multibody systems (70E55)

Related Items

Conservation properties of a time FE method?part III: Mechanical systems with holonomic constraints ⋮ Rigid body formulation in a finite element context with contact interaction ⋮ On the Stabilizing Properties of Energy-Momentum Integrators and Coordinate Projections for Constrained Mechanical Systems ⋮ A Nonlinear Finite Element Framework for Flexible Multibody Dynamics: Rotationless Formulation and Energy-Momentum Conserving Discretization ⋮ A new conservative/dissipative time integration scheme for nonlinear mechanical systems ⋮ Energy-momentum conserving integration of multibody dynamics ⋮ Investigation of a method for the three-dimensional rigid body dynamics inverse problem ⋮ An energy-momentum method for in-plane geometrically exact Euler-Bernoulli beam dynamics ⋮ A structure-preserving integrator for incompressible finite elastodynamics based on a Grad-div stabilized mixed formulation with particular emphasis on stretch-based material models ⋮ Controllable velocity projection for constraint stabilization in multibody dynamics ⋮ The discrete null space method for the energy-consistent integration of constrained mechanical systems. III: Flexible multibody dynamics

Cites Work

• The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
• On the stability of symplectic and energy-momentum algorithms for nonlinear Hamiltonian systems with symmetry
• Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum
• DESIGN OF ENERGY CONSERVING ALGORITHMS FOR FRICTIONLESS DYNAMIC CONTACT PROBLEMS
• Unnamed Item
• Unnamed Item