Introduction to random processes, probability distributions and associated concept, linear time invariant systems excited by stationery random process. Failure due to random vibration vector random process and response of MIO systems to vector random excitations, theory of Kalman Filter. Chapman-Kolmogorov-Smoluchowskiequaion, Fokker-Plank equation and it’s solution for simple systems, the method of Ito, cumulant-neglect closure of Ito’s equations, soMEimulation studies of systems excited by random signals.
Recommended Books:
- Stochastic Processes and Random Vibrations: Theory and Practice - JúlíusSólnes, Wiley, 1997.
- Random Vibrations: Theory and Practice - Paul H. Wirsching, Thomas L Paez, Keith Ortiz, Dover Publications, 2006.
- Fundamentals of Vibrations - Leonard Meirovitch, Waveland Press Inc., 2010.
- Analytical methods in vibrations - Leonard Meirovitch, Macmillan, 1967.
- Vibration theory and applications - William Tyrrell Thomson, Prentice-Hall, 1965.
- Shock and vibration handbook - Cyril M. Harris, Charles E. Crede, McGraw-Hill, 1976.
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