A set of ordinary differential equations of motion for constrained mechanical systems

DOI10.1007/s11071-014-1783-5zbMath1331.70056OpenAlexW1994889291MaRDI QIDQ494759

S. Natsiavas, Elias Paraskevopoulos

Publication date: 2 September 2015

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

Full work available at URL: https://doi.org/10.1007/s11071-014-1783-5

zbMATH Keywords

differential geometryholonomic and nonholonomic constraintsanalytical dynamicsNewton's law of motiontangent and dual spacesdynamic Lagrange multipliers

Mathematics Subject Classification ID

Constrained dynamics, Dirac's theory of constraints (70H45) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Dynamical systems in classical and celestial mechanics (37N05) 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 (9)

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 ⋮ Constructing time integration with controllable errors for constrained mechanical systems ⋮ The initial motions for holonomic and nonholonomic mechanical systems ⋮ A non-damped stabilization algorithm for multibody dynamics ⋮ The Oscillator with Linear and Cubic Elastic Restoring Force and Quadratic Damping ⋮ Application of an augmented Lagrangian approach to multibody systems with equality motion constraints ⋮ Nonlinear Dynamics of Multibody Systems Using an Augmented Lagrangian Formulation ⋮ Boundary Layer Dynamics of Multibody Systems Involving Impact and Friction

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