DAE Aspects of Multibody System Dynamics
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Publication:4556659
DOI10.1007/978-3-319-46618-7_2zbMath1402.65084OpenAlexW2592858757MaRDI QIDQ4556659
Publication date: 16 November 2018
Published in: Surveys in Differential-Algebraic Equations IV (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-46618-7_2
constrained mechanical systemsredundant constraintsstabilized index-2 formulationDAE time integrationmultibody formalismsrank-deficient mass matrix
Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for differential-algebraic equations (65L80) Dynamics of multibody systems (70E55)
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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
- On the unique solvability of a direct dynamics problem for mechanisms with redundant constraints and Coulomb friction in joints
- Flexible multibody dynamics
- Differential-algebraic equations in vehicle system dynamics
- Extensions of the HHT-\(\alpha \) method to differential-algebraic equations in mechanics
- Linearly implicit time integration methods in real-time applications: DAEs and stiff ODEs
- Multibody formalism for real-time application using natural coordinates and modified state space
- Numerical solution of differential-algebraic equations for constrained mechanical motion
- Automatic integration of Euler-Lagrange equations with constraints
- On the dynamics in space of rods undergoing large motions - A geometrically exact approach
- A family of embedded Runge-Kutta formulae
- Three-dimensional elastic bodies in rolling contact
- A half-explicit Runge-Kutta method of order 5 for solving constrained mechanical systems
- Half-explicit Runge-Kutta methods with explicit stages for differential-algebraic systems of index 2
- Non-stiff integrators for differential-algebraic systems of index 2
- Multibody system simulation. Numerical methods, algorithms, and software
- Stabilization of DAEs and invariant manifolds
- Multibody system dynamics: roots and perspectives
- Flexible multibody dynamics: Review of past and recent developments
- A generalized-\(\alpha\) method for integrating the filtered Navier-Stokes equations with a stabilized finite element method
- A time integration algorithm for flexible mechanism dynamics: The DAE \(\alpha\)-method
- The numerical solution of differential-algebraic systems by Runge-Kutta methods
- Lie group methods for rigid body dynamics and time integration on manifolds
- A perturbation analysis for the dynamical simulation of mechanical multibody systems
- The index of general nonlinear DAEs
- MBSPACK -- numerical integration software for constrained mechanical motion
- On the numerical solution of a wheel suspension benchmark problem
- Rigid body dynamics with a scalable body, quaternions and perfect constraints
- Computational flexible multibody dynamics. A differential-algebraic approach
- Network approach and differential-algebraic systems in technical applications
- Integrating finite rotations
- Convergence of the generalized-\(\alpha\) scheme for constrained mechanical systems
- Efficient corrector iteration for DAE time integration in multibody dynamics
- Error analysis of generalized-\(\alpha\) Lie group time integration methods for constrained mechanical systems
- Stabilization of constraints and integrals of motion in dynamical systems
- Applied Dynamics
- A Second Order Extension of the Generalized–α Method for Constrained Systems in Mechanics
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- Convergence Results for a Coordinate Projection Method Applied to Mechanical Systems with Algebraic Constraints
- Solving Ordinary Differential Equations I
- On the existence and uniqueness of solutions of nonlinear semi-implicit differential-algebraic equations
- The generalized-α method in mechatronic applications
- Solving constrained mechanical systems by the family of Newmark and α-methods
- Time integration of the equations of motion in mechanism analysis
- Explicit equations of motion for constrained mechanical systems with singular mass matrices and applications to multi-body dynamics
- Differential-Algebraic Systems as Differential Equations on Manifolds
- Numerical Solution of Nonlinear Differential Equations with Algebraic Constraints I: Convergence Results for Backward Differentiation Formulas
- Numerical Solution of Nonlinear Differential Equations with Algebraic Constraints II: Practical Implications
- Order Results for Implicit Runge–Kutta Methods Applied to Differential/Algebraic Systems
- Differential/Algebraic Equations are not ODE’<scp>s</scp>
- Mechanical Systems of Rigid Bodies Subject to Unilateral Constraints
- Projection methods in flexible multibody dynamics. Part II: Dynamics and recursive projection methods
- Maintaining Solution Invariants in the Numerical Solution of ODE<scp>s</scp>
- Numerical methods for simulation in applied dynamics
- Time‐Step‐Size‐Independent Conditioning and Sensitivity to Perturbations in the Numerical Solution of Index Three Differential Algebraic Equations
- Geometric Numerical Integration
