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Mechanical Engineering
Random vibrations & Failure Analysis (Web)
Syllabus
Co-ordinated by :
IIT Madras
Available from :
2015-06-16
Lec :
1
Modules / Lectures
Introduction, Probability Theory, Random variables
Introduction
Introduction to uncertainty
Introduction to Probability-I
Introduction to Probability -II
Introduction to Probability-III
Introduction to Probability- IV
Problem Set -1
Random variables - I
Random Variables - II
Functions of random variables-I
Functions of random variables -II
Monte Carlo Simulations of random variables
Problem Set -2
Stochastic processes
Stochastic Processes-1
Stochastic Processes -II
Stochastic Processes - III
Stochastic Processes- IV
Problem Set - 3
Monte Carlo Simulations of Random Processes
Crossing statistics and failure probability
Crossings of stochastic process
Crossings of non-Gaussian random processes
Peak distributions of stochastic processes
Random Fatigue
Review of Linear Vibration Analysis
Review of Linear Vibrations - I
Review of Linear Vibrations - II
Review of linear vibrations - III
Review of linear vibrations- IV
Random vibrations
Random Vibrations of a sdof oscillator
Random Vibrations of higher order systems
Non-linear systems
Problem Set -4
Advanced topics
Karhunen-Loeve Expansions
Polynomial Chaos Representations
Markov Processes-I
Markov Processes-II
Fokker-Planck-Kolmogorov equation
Stochastic Calculus
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