Direct time integration of rigid body motion with discrete‐impulse midpoint approximation: explicit Newmark algorithms

DOI10.1002/cnm.826zbMath1276.70002OpenAlexW1994090229MaRDI QIDQ5467010

Petr Krysl

Publication date: 23 May 2006

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.826

zbMATH Keywords

explicit time integrationrigid body rotationVerletSolid dynamicsNewmarkmidpoint algorithmmidpoint Liesymplectic Euler

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Free motion of a rigid body (70E15) Numerical methods for initial value problems involving ordinary differential equations (65L05) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (3)

Second‐order explicit integrator via composition for coupled rotating rigid bodies applied to roller cone drill bits ⋮ Dynamically equivalent implicit algorithms for the integration of rigid body rotations ⋮ Discrete mechanics and optimal control for constrained systems

Cites Work

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• Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum
• Explicit momentum conserving algorithms for rigid body dynamics
• Explicit momentum-conserving integrator for dynamics of rigid bodies approximating the midpoint Lie algorithm
• Adjoint and selfadjoint Lie-group methods

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