The GGL variational principle for constrained mechanical systems
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Publication:6097921
DOI10.1007/s11044-023-09889-6zbMath1516.70022OpenAlexW4322739030MaRDI QIDQ6097921
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Publication date: 7 June 2023
Published in: Multibody System Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11044-023-09889-6
variational integratorindex reductionEuler-Lagrange differential-algebraic equationsGear-Gupta-Leimkuhler stabilizationholonomic constrained dynamicsLivens variational principle
Variational methods for problems in mechanics (70G75) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Constrained dynamics, Dirac's theory of constraints (70H45) Holonomic systems related to the dynamics of a system of particles (70F20)
Cites Work
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- Structure-preserving integrators in nonlinear structural dynamics and flexible multibody dynamics
- Multibody dynamics with redundant constraints and singular mass matrix: existence, uniqueness, and determination of solutions for accelerations and constraint forces
- Dirac structures in Lagrangian mechanics. II: Variational structures
- Energy-momentum conserving integration of multibody dynamics
- Hamilton-Pontryagin integrators on Lie groups. I: Introduction and structure-preserving properties
- Automatic integration of Euler-Lagrange equations with constraints
- Construction and analysis of higher order variational integrators for dynamical systems with holonomic constraints
- Computational flexible multibody dynamics. A differential-algebraic approach
- A benchmarking system for MBS simulation software: problem standardization and performance measurement
- Twenty-five years of natural coordinates
- Simulating Hamiltonian Dynamics
- Discrete mechanics and variational integrators
- Explicit equations of motion for constrained mechanical systems with singular mass matrices and applications to multi-body dynamics
- Continuous Galerkin schemes for semiexplicit differential-algebraic equations
- Geometric Numerical Integration
- Variational integrators for constrained dynamical systems
- Geometric Mechanics
- Constrained integration of rigid body dynamics
