Integration of Hamiltonian systems with a structure preserving algorithm
Paper i proceeding, 2014

The disability of classical general-purpose integrators, such as the Runge-Kutta integrators, to exploit/preserve the structure of the analytical system and the failure of traditional structure-preserving geometric integrators, such as the leapfrog method, in treating highly oscillatory problems has been the main motivation for development of a recently proposed symplectic exponential integrator. Here, the capability of the method in robust simulation of Hamiltonian systems with complex dynamical behaviour, such as the elastic pendulum benchmark, is studied. The method exactly conserves the motion invariants, such as the angular momentum, while approximately conserves the Hamiltonian function. Furthermore, the method performance has been validated for systems with highly oscillatory behavior. These advantages are of particular interest for a variety of problems encountered in mechanical engineering applications, such as simulation of spacecraft structures, rotor blades, and similar systems.

structure preserving integrators

chaos

Runge-Kutta

Hamiltonian

leap-frog

spring-pendulum

Författare

Sadegh Rahrovani

Chalmers, Tillämpad mekanik, Dynamik

Thomas Abrahamsson

Chalmers, Tillämpad mekanik, Dynamik

Klas Modin

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

26th International Conference on Noise and Vibration Engineering, ISMA 2014, Including the 5th International Conference on Uncertainty in Structural Dynamics, USD 2014; Leuven; Belgium; 15 September 2014 through 17 September 2014

2915-2929

Ämneskategorier

Maskinteknik

Beräkningsmatematik

Styrkeområden

Materialvetenskap

ISBN

978-90-73-80291-9