Response of a Discontinuously Non-linear System

Abstract

Rotor systems with clearances can exhibit chaotic (random-like) motion. Previous work has shown that the embedding space method and correlation dimension estimation can be used to give an indication of the clearance. However some problems were found using this method. The aim of the project is to repeat some of the results as a test case and then to compare the results with a different dynamic system which may show the same type of response. The system will be made up of two masses connected by a massless bar. The bar will be able to contact a spring at some point along its length. The gap (or clearance) between the spring and the bar in the equilibrium point can be modified at one's will. This system replicates some of the features of the rotor system but in a different system. The project tries to find out if a special relation between the clearance of the system and the correlation dimension exists. It will be proved that a relation as a general law can not be found but that in some cases the correlation dimension value can be used to delimit the clearance values.

Outgoing