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SUMMARY:The statistics of nonlinear vibration via the Fokker-Planck equati
 on: an overview - Prof. Robin Langley\, Emeritus\, CUED
DTSTART:20250221T160000Z
DTEND:20250221T170000Z
UID:TALK226507@talks.cam.ac.uk
CONTACT:46601
DESCRIPTION:The Fokker-Planck equation is a partial differential equation 
 that governs the probability density function of the response of a system 
 (linear or nonlinear) to wideband random excitation.  The equation was fir
 st derived by researchers in the field of statistical mechanics in the 191
 0s and it has been applied to mechanical systems by engineers since the 19
 60s.  The equation is not covered on engineering undergraduate courses and
  so it is not as well known as perhaps it ought to be.  This talk will pro
 vide an overview of the equation and show how it can be used to find the s
 tatistics of nonlinear vibration for low order systems\, and how weighted 
 integrals of the equation can lead to very useful general results for comp
 lex high order systems.  In the latter case\, examples include results rel
 ating to entropy\, energy flow\, and energy harvesting.   As a preamble th
 e talk will include a discussion of the various types of engineering resea
 rch and how work on the Fokker-Planck equation fits into the bigger pictur
 e.\n
LOCATION:JDB Seminar Room\, CUED
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