Kronecker product and a new matrix form of Lagrangian equations with multipliers for constrained multibody systems
From MaRDI portal
Publication:366721
DOI10.1016/j.mechrescom.2011.04.004zbMath1272.70041OpenAlexW2077813376MaRDI QIDQ366721
Publication date: 13 September 2013
Published in: Mechanics Research Communications (Search for Journal in Brave)
Full work available at URL: http://www.sciencedirect.com/science/article/pii/S009364131100070X
Kronecker productsymbolic approachdynamics of mechanismLagrangian equationspartial derivative of matrix functions
Related Items
Gibbs-Appell method-based governing equations for one-dimensional finite elements used in flexible multibody systems ⋮ Generalized Gibbs-Appell's equations and two-dimensional finite elements model used in flexible multibody analysis ⋮ Motion equation for a flexible one-dimensional element used in the dynamical analysis of a multibody system ⋮ Derivatives of fourth order Kronecker power systems with applications in nonlinear elasticity ⋮ A novel computer-oriented dynamical approach with efficient formulations for multibody systems including ignorable coordinates
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Structure of optimized generalized coordinates partitioned vectors for holonomic and non-holonomic systems
- Geometric properties of projective constraint violation stabilization method for generally constrained multibody systems on manifolds
- Computational efficient inverse dynamics of 6-DOF fully parallel manipulators by using the Lagrangian formalism
- Tensor analysis based symbolic computation for mechatronic systems
- Symbolic formulation of closed chain dynamics in independent coordinates.
- Symbolic processing of multiloop mechanism dynamics using closed-form kinematics solutions
- A symbolic approach for automatic generation of the equations of motion of multibody systems
- Consistent definition of partial derivatives of matrix functions in dynamics of mechanical systems
- Convergence Results for a Coordinate Projection Method Applied to Mechanical Systems with Algebraic Constraints
- Analytical System Dynamics
- Derivation of the equations of motion for complex structures by symbolic manipulation
- Kronecker products and matrix calculus in system theory
- Dynamics of Multibody Systems
- Dynamics of Multibody Systems
- An algorithm for deriving the equations of mathematical physics by symbolic manipulation
- Matrix theory. Basic results and techniques
