Reliability Analysis and Reliability-based Design Optimization

1. Course Policy and Introduction to reliability engineering [Lecture Notes][Lecture Video]

2. Review of Probability and Statistics - Part 1 [Lecture Notes][Lecture Video]

3. Review of Probability and Statistics - Part 2 [Lecture Notes]

4. Review of Probability and Statistics - Part 3 [Lecture Notes][Lecture Video]

5. Limit State Function in Reliability Analysis [Lecture Notes][Lecture Video]

6. Limit State Function (continued), FOSM [Lecture Notes][Lecture Video]

7. FOSM and MVFOSM [Lecture Notes][Lecture Video]

8. FORM [Lecture Notes][Lecture Video]

9. FORM - continued [Lecture Notes][Lecture Video]

10. SORM [Lecture Notes][Lecture Video]

11. SORM - part 2 [Lecture Notes][Lecture Video]

12. SORM - part 3 [Lecture Notes][Lecture Video]

13. SORM (Conclusion) and MCS [Lecture Notes][Lecture Video]

14. Importance Sampling - Part 1 [Lecture Notes][Lecture Video]

15. Importance Sampling - Part 2 [Lecture Notes][Lecture Video]

16. Subset Simulation - Part 1 [Lecture Notes][Lecture Video]

17. Subset Simulation - Part 2 [Lecture Notes][Lecture Video]

18. Surrogate Modeling for Reliability Analysis [Lecture Notes][Lecture Video]

19. Response Surface Method [Lecture Notes][Lecture Video]

20. Review of concepts covered till date [Lecture Notes]

• General overview of the structural reliability

• Brief review of statistics and probability

• Taylor’s series-based approach for reliability analysis: FOSM, FORM, SORM.

• Simulation based method for reliability analysis: Monte Carlo simulation, Importance sampling, subset simulation.

• Surrogate based approaches for reliability analysis: response surface method, polynomial chaos expansion, Kriging, High-dimensional model representation, etc.

• System reliability analysis: series system, parallel system, k out of n system

• Time-dependent reliability analysis

• Reliability based design optimization and way ahead. 

Lecture notes and references will be provided on the course web site. The following books are recommended:

• Haldar, A., & Mahadevan, S. (2000). Probability Reliability And Statistical Methods In Engineering Design. John Wiley & Sons.

• Haldar, A., & Mahadevan, S. (2000). Reliability assessment using stochastic finite element analysis. John Wiley & Sons.

• Stanton, A., Wiegand, D., & Stanton, G. (2000). Probability reliability and statistical methods in engineering design.

• Bishop, C.M. Pattern recognition and Machine learning, Springer, 2007.

• Murphy, K.P. Machine learning: A Probabilistic Perspective, MIT press, 2012.

• Homework-1[HW]

• Homework-2[HW]

• To be updated

Credit: 3 Units (3-0-0)

Lectures: MW (11:00 AM - 12:30 PM) and Th (12 PM - 1:00 PM) 

Instructor: Souvik Chakraborty

Teaching Assistants: Tapas Tripura

Course Objective: The objective of this course offered by the Department of Applied Mechanics is to introduce the concepts of Reliability engineering to the students. The course will dive into the fundamental concepts of reliability engineering and its application in solving scientific and engineering problems. Different reliability analysis methods will be discussed. The course will emphasize on the mathematical learning of these concepts along with applications. The course is designed for senior UG, PG, and Ph.D. students.

Intended audience: Senior UG, PG, and Ph.D. students