ENGRCEE 287 Random Vibrations (2013-2014)

ENGRCEE 287 Random Vibrations

(Not required for any major.)
Catalog Data:

ENGRCEE 287 Random Vibrations (Credit Units: 4) Stationary stochastic processes. Spectral analysis. Stochastic response of linear, single and multi-degrees of freedom systems. Probabilistic approach to dynamic response of structures to random loadings. Prerequisite: CEE 11; CEE 281 or CEE 284. Graduate students only. (Design units: 0)

Required Textbook:
. Edition, , 1969, ISBN-13 978-0134905334.

Recommended Textbook:
  • Lutes, L.D. and S. Sarkani. Stochastic Analysis of Structural & Mechanical Vibrations, Prentice-Hall, 1997.
  • Soong, T.T. and M. Grigoriu. Random Vibration of Mechanical and Structural Systems, Prentice-Hall, 1993.
  • Yang, C.Y. Random Vibration of Structures, John Wiley & Sons, 1986.
Jann N. Yang
Relationship to Student Outcomes
No student outcomes specified.
Course Learning Outcomes. Students will:
Prerequisites by Topic

Probability and statistics. Structural Reliability

Lecture Topics:
  • Random variables, distribution functions, moments of random variables.
  • Random processes.
  • Stationary, non-stationary and ergodic processes.
  • Spectral analysis.
  • Gaussian random processes.
  • Random vibration of single-degree-of-freedom systems.
  • Random vibration of multi-degree-of-freedom systems.
  • Random vibration of continuous structures.
  • Threshold crossings, envelope statistics, and first-passage failure.
  • Simulation of random processes.
Class Schedule:

Meets for 3 hours of lecture each week for 10 weeks.

Computer Usage:

Simple computations

Laboratory Projects:
Professional Component
Design Content Description
Laboratory Portion:
Grading Criteria:
  • Homework: 25%
  • Final: 75%
  • Total: 100%
Estimated ABET Category Content:

Mathematics and Basic Science: 0.0 credit units

Computing: 0.0 credit units

Engineering Topics: 0.0 credit units

Engineering Science: 0.0 credit units

Engineering Design: 0.0 credit units

June 18, 2013
Senate Approved:
May 7, 2013
Approved Effective:
2013 Fall Qtr