On application of Newton's law to mechanical systems with motion constraints

DOI10.1007/s11071-012-0727-1zbMath1268.53084OpenAlexW2084273674MaRDI QIDQ355010

S. Natsiavas, Elias Paraskevopoulos

Publication date: 22 July 2013

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-012-0727-1

zbMATH Keywords

multibody dynamicsholonomic and nonholonomic constraintsdynamics and differential geometrymetric compatibility conditiontangent and dual spaces

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Constrained dynamics, Dirac's theory of constraints (70H45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Holonomic systems related to the dynamics of a system of particles (70F20)

Related Items (4)

Application of Newton's law of motion to constrained mechanical systems possessing configuration manifolds with time-dependent geometric properties ⋮ A novel co-simulation approach for mechanical systems ⋮ A set of ordinary differential equations of motion for constrained mechanical systems ⋮ Application of an augmented Lagrangian approach to multibody systems with equality motion constraints

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Flexible multibody dynamics
• Dynamics of slider-crank mechanisms with flexible supports and non-ideal forcing
• Lie groups and algebras with applications to physics, geometry, and mechanics
• Numerical integration of ordinary differential equations on manifolds
• Runge-Kutta methods on Lie groups
• Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
• An implicit Runge-Kutta method for integration of differential algebraic equations of multibody dynamics
• Nonholonomic versus vakonomic dynamics on a Riemann–Cartan manifold
• Mechanical Systems With Nonideal Constraints: Explicit Equations Without the Use of Generalized Inverses
• Constrained systems and analytical mechanics in spaces with torsion
• On the Geometry of Nonholonomic Dynamics
• Dynamics of Multibody Systems
• Differential geometry, Lie groups and symmetric spaces over general base fields and rings

This page was built for publication: On application of Newton's law to mechanical systems with motion constraints