Stochastic Dynamics of Structures

Institution:
University of Patras
Specialization:
ES - Engineering Seismology
Term:
Fall 2015
Teacher(s):
APOSTOLOS S. PAPAGEORGIOU
Credits:
8
Date (from - to):
01/09/2015 – 29/01/2016

Topics to be covered include:

  • Theory of Random Processes [Specification of Random Processes; Stationary (Homogeneous) Random Processes; Expected Values: Moments; Differentiation and Integration of a Random Process; Spectral Representation of a Random Process; Non-stationary (evolutionary) Random Processes];
  • Some Important Random Processes [Gaussian, Poisson, and Markov Random Processes];
  • Further Properties of Random Processes [Threshold Crossings; Peak Distribution; Envelope Distribution; First-Passage Time; Maximum Value of a Random Process in a Time Interval];
  • Linear Structures with Single Degree of Freedom (SDOF) [System Response to Random Excitation; Weakly Stationary Excitations; Non-stationary Excitations]; Linear Structures with Multiple Degrees of Freedom (MDOF) [General Analytical Framework];
  • Structural Failures Resulting from Dynamic Response and Related Topics [First-Excursion Failures; Fatigue Failures];
  • Response of Nonlinear Structural Systems [Method of Equivalent Linearization – Hysteretic Systems]