Simulation of partitioned dynamical systems

Simulation of partitioned dynamical systems

ten Dam, A.A.
Collins, S.A.

National Aerospace Laboratory NLR

1988-11-04

In this report some aspects of the analytical and numerical solution of Partitioned Dynamical Systems (PDSs) are discussed. A PDS is solved using the Lagrange multiplier approach. The resulting equations are combined to obtain Differential-Algebraic Equations, describing a PDS. The additional algebraic equation leads to error accumulation when a numerical solution is sought. To avoid this, a correction term is applied. This correction term proved to be applicable with the Forward-Euler integration method and with the Runge-Kutta (Merson) integration method. Finally, this report discusses some topics that merit further attention, such as: different integration schemes, inequality constraints, and error accumulation.

http://resolver.tudelft.nl/uuid:c77dbcc9-65d3-495a-a389-98e0c48a16f5

Nationaal Lucht- en Ruimtevaartlaboratorium

Campus only

NLR-TR 88153 L

Aerospace Engineering Reports

report

(c) 1988 National Aerospace Laboratory NLR