EQE 683 – Special Topics in Earthquake Engineering: Introduction to Random Vibrations with Applications in Wind and Earthquake Engineering

INSTRUCTOR : Prof. Dr. Erdal Şafak

 

COURSE OBJECTIVES : The objective of the course is to present an introduction to stochastic process and random vibration theories, and show their utilization in solving problems related to wind and earthquake induced dynamic response of structures.

 

• Characterization of random variables
• Time- and frequency-domain representations of random dynamic loads
• Dynamic response of SDOF (Single-Degree-of-Freedom) systems to random loads
• Dynamic response of MDOF (Multi-Degrees-of-Freedom) systems to random loads
• Time and frequency domain calculations of  the response
• Nonlinear response to random loads
• Probabilistic description of the extreme values of response
• Failure analysis
• Applications in Earthquake Engineering
• Applications in Wind Engineering

 

DURATION & HOURS PER WEEK : 12 weeks, 3 hours per week

 

GRADING BASIS : Homework (at least one every week); no mid-term or final exam.

 

REFERENCE TEXTBOOKS : 

(Optional; course notes will be provided)

• S.H. Crandall (ed.), Random Vibration (in 2 volumes), MIT Press, 1958/1963. C.Y. Yang, Random Vibration of Structures, John Wiley & Sons, 1986.
• Y.K. Lin, Probabilistic Theory of Structural Dynamics, McGraw-Hill, 1967/1995.
• N.C. Nigam, Introduction to Random Vibrations, MIT Press, 1983.
• L Lutes & S. Sarkani, Random Vibrations: Analysis of Structural and Mechanical Systems, Elsevier, 2004. 
• I. Elishakoff, Probabilistic Theory of Structures (Second Ed., paperback), Dover, 1999.