A nonholonomic Newmark method
DOI10.1016/j.cam.2022.114873OpenAlexW4298395891MaRDI QIDQ2095169
Alexandre Anahory Simoes, David Martín de Diego, Sebastián J. Ferraro, Juan Carlos Marrero
Publication date: 9 November 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.13162
Computational methods for problems pertaining to mechanics of particles and systems (70-08) Nonholonomic systems related to the dynamics of a system of particles (70F25) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Nonholonomic dynamical systems (37J60)
Cites Work
- Unnamed Item
- The geometric discretisation of the Suslov problem: a case study of consistency for nonholonomic integrators
- What makes nonholonomic integrators work?
- Integrators for nonholonomic mechanical systems
- Discrete nonholonomic Lagrangian systems on Lie groupoids
- Variational integrators for hamiltonizable nonholonomic systems
- Structure preserving discretization of time-reparametrized Hamiltonian systems with application to nonholonomic mechanics
- Local convexity for second order differential equations on a Lie algebroid
- Exact discrete Lagrangian mechanics for nonholonomic mechanics
- Radial kinetic nonholonomic trajectories are Riemannian geodesics!
- Energy-preserving integrators applied to nonholonomic systems
- Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. E Crouch, J. E. Marsden and D. Zenkov. With scientific input from P. S. Krishnaprasad and R. M. Murray
- Variational principles for constrained systems: Theory and experiment
- Non-holonomic integrators
- A Concise Introduction to Geometric Numerical Integration
- A Second Order Extension of the Generalized–α Method for Constrained Systems in Mechanics
- Geometric Numerical Integration
- Explicit Newmark/Verlet algorithm for time integration of the rotational dynamics of rigid bodies
- Solving constrained mechanical systems by the family of Newmark and α-methods
- Hamel’s Formalism and Variational Integrators
- Momentum and energy preserving integrators for nonholonomic dynamics
- On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods
- On the geometry of non-holonomic Lagrangian systems
- Discrete nonholonomic LL systems on Lie groups
