|
An approach for damping structural vibrations using optimization techniques
is presented. There are three different concepts of optimization: local
optimization of structural or control parameters, respectively, and global
optimization including all parameters of the controlled structure.
The formulation of the optimization problem for multibody systems is
presented and algorithms for its solution are briefly described.
As an engineering application a tethered satellite system is investigated
applying the local controller optimization only. Spacecrafts and orbiting sys-
tems are subject to structural vibrations. Moreover, tethered satellite systems
show large displacements and require active or passive damping mechanisms,
respectively. In this paper a tethered satellite system is modelled by
the method of multibody systems
using symbolic equations of motion undergoing large displacements. Active
damping is provided by an actuator between the main body and the tether.
As performance criteria the energy decay and the displacement of the main
body are applied. First results obtained by Dignath are extended to a
nonlinear analysis. Then, a simple elastic pendulum serves as a benchmark
for comparison of global and local optimization, i.e. structural or controller
optimization, respectively. This benchmark shows clearly the advantages of
the global optimization which will also be transferred to the tethered satellite
system.
|