Computer aided kinematics and dynamics of mechanical systems. Vol. 1: basic methods
Computer aided kinematics and dynamics of mechanical systems. Vol. 1: basic methods
ODAE methods for the numerical solution of Euler-Lagrange equations
Applied Numerical Mathematics
Symplectic numerical integrators in constrained Hamiltonian systems
Journal of Computational Physics
Symplectic partitioned Runge-Kutta methods for constrained Hamiltonian systems
SIAM Journal on Numerical Analysis
Nonholonomic motion of rigid mechanical systems from a DAE viewpoint
Nonholonomic motion of rigid mechanical systems from a DAE viewpoint
Kinematic and Dynamic Simulation of Multibody Systems: The Real Time Challenge
Kinematic and Dynamic Simulation of Multibody Systems: The Real Time Challenge
SIAM Journal on Numerical Analysis
Hi-index | 0.00 |
Firstly, the Hamiltonian formulation for the constrained dissipative systems was deduced, it is index-3 DAEs. The index-2 DAEs was obtained based on the GGL stabilized method. Then RATTLE method that proposed for motion equations of conservative constrained Hamiltonian systems was extended to solve dissipative constrained Hamiltonian systems. For the dissipative systems, the symplectic structure of RATTLE method is no longer preserved, but this method can capture the decay of the energy accurately because of no numerical dissipation. Numerical experiment results illustrate the effectiveness of the method.