Prof. Robin Langley (Engineering, University of Cambridge)

Something for nothing in the analysis of complex dynamic systems
When Jun 06, 2017
from 02:00 PM to 03:00 PM
Where LR8
Contact Name
Contact Phone 01865-283446
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The prediction of the response of a complex mechanical system can be extremely difficult, even when the properties of the system are known.  If the system is subject to random manufacturing imperfections and other uncertainties then the problem is even more difficult: in principle the system uncertainties must be quantified and then propagated through governing equations of motion to yield the statistical distribution of the response.  But what if  little is known about the statistical distribution of the uncertainties?  Strangely enough it turns out that in many practical situations it is possible predict the statistics of the response of a complex dynamic system without knowledge of the statistics of the system uncertainties.  This is due to the principle of "universality" under which the statistics of the natural frequencies and the mode shapes tend to a distribution that depends on just one parameter - the modal density.  The concepts behind universality will be described, and a number of example applications will be given.