Media Storage Type : DVD-ROM
NPTEL Course Name : Random vibrations and Failure Analysis
NPTEL Subject Matter Expert : Dr. Sayan Gupta
NPTEL Co-ordinating Institute : IIT Madras
NPTEL Lecture Count : 37
Lecture Titles:
Lecture 1 - Introduction
Lecture 2 - Introduction to Uncertainty
Lecture 3 - Introduction to Probability - I
Lecture 4 - Introduction to Probability - II
Lecture 5 - Introduction to Probability - III
Lecture 6 - Introduction to Probability - IV
Lecture 7 - Problem Set - 1
Lecture 8 - Random variables - I
Lecture 9 - Random Variables - II
Lecture 10 - Functions of random variables - I
Lecture 11 - Functions of random variables - II
Lecture 12 - Monte Carlo Simulations of random variables
Lecture 13 - Problem Set - 2
Lecture 14 - Stochastic Processes - I
Lecture 15 - Stochastic Processes - II
Lecture 16 - Stochastic Processes - III
Lecture 17 - Stochastic Processes - IV
Lecture 18 - Problem Set - 3
Lecture 19 - Monte Carlo Simulations of Random Processes
Lecture 20 - Crossings of stochastic process
Lecture 21 - Crossings of non-Gaussian random processes
Lecture 22 - Peak distributions of stochastic processes
Lecture 23 - Random Fatigue
Lecture 24 - Review of Linear Vibrations - I
Lecture 25 - Review of Linear Vibrations - II
Lecture 26 - Review of linear vibrations - III
Lecture 27 - Review of linear vibrations - IV
Lecture 28 - Random Vibrations of a sdof oscillator
Lecture 29 - Random Vibrations of higher order systems
Lecture 30 - Non-linear systems
Lecture 31 - Problem Set - 4
Lecture 32 - Karhunen-Loeve Expansions
Lecture 33 - Polynomial Chaos Representations
Lecture 34 - Markov Processes - I
Lecture 35 - Markov Processes - II
Lecture 36 - Fokker-Planck-Kolmogorov equation
Lecture 37 - Stochastic Calculus