XXI International Congress of Theoretical and Applied Mechanics
Warsaw, Poland, August 15-21, 2004

Stochastic Dynamics of Engineering Systems

Kazimierz Sobczyk
IPPT PAN, Warsaw, Poland

The main objective of this plenary lecture is to expose the most notable models and results of stochastic dynamics a huge branch of contemporary science investigating real physical/engineering systems in the presence of random excitations. The lecture will consist of two parts. First, the general nonlinear stochastic governing equations of a wide class of real engineering systems will be presented along with their possible interpretations and the associated applicatory problems and results; in particular, a methodology used for the reliability assessment of randomly excited mechanical/structural systems will be discussed. Afterwards, various qualitative phenomena generated (in nonlinear systems) by random noise will be expounded (e.g. explosions of the response, noise-induced phase transitions, stochastic resonances, bifurcations, etc.). In the end of the lecture some computational problems and new challenges will be indicated

Extended Summary (PDF)