Sorry, you need to enable JavaScript to visit this website.

  • 9:52 PM, Friday, 22 Oct 2021


Course Postgraduate
Semester Electives
Subject Code AE838
Subject Title STOCHASTIC MECHANICS AND STRUCTURAL RELIABILITY

Syllabus

Basics of probability theory: axioms, definitions, random variable – probability structure of ran- dom variable – joint distributions – functions of random variables – some common random vari- ables – random processes/random fields. Structural reliability – fundamental concepts – first order reliability methods – second order reliability methods – probabilistic sensitivity – system reliability – simulation techniques – high dimensional model representation techniques for reliability analysis. Stochastic finite element analysis for structural mechanics problems – random field discretiza- tion – perturbation method – Neumann expansion method

Text Books
References

1. Ang, A. H-S. and Tang, W. H., Probability Concepts in Engineering Planning and Design: Volume I Basic Principles , Wiley (1975).

2. Ang, A. H-S. and Tang, W. H., Probability Concepts in Engineering Planning and Design: Volume II Risk and Reliability , Wiley (1984).

3. Halder A., Mahadevan, S., Probability, Reliability and Statistical Methods in Engineering Design , Wiley (2000).

4. Ghanem, R. G., Spanos, P. D., Stochastic Finite Elements: A Spectral Approach , Springer (1991).

5. Melchers, R. E., Structural Reliability Analysis and Prediction , Wiley (1999).