School of Engineering and Technology, (SET)
 
CE72.21 : Structural Dynamics  3(3-0)
 
Course objectives:
As modern structures are becoming more slender and light, they are also becoming more susceptible to dynamic loadings. Thus, a basic understanding of the dynamic behavior of structures as well as the underlying principles is essential for structural engineers. The objective of this course is to provide students basic knowledge of structural dynamics. Free and forced vibration of single-, and multi-degree of freedom and continuous structures will be studied. The theoretical framework for analysis of structural response to random excitations will be explained. Various options for suppressing structural dynamic response will be provided. 
 
Learning Outcomes:
On successfully completing this course, students will be able to:
  • Identify what dynamic loadings are, and assess the basic dynamic characteristics of structures,
  • Model the real world structures as equivalent single- or multi-degree-of-freedom or continuous structures,
  • Evaluate the response of linear and nonlinear structural systems to dynamic loadings,
  • Apply some control measures to suppress the dynamic responses of structures.
 
Pre-requisite(s):

None
 
Course Outline:
I           Dynamics of Single-Degree-Of-Freedom Structures
1.    Formulation of the equation of motion
2.    Free-vibration response
3.    Response to harmonic forces
4.    Response to periodic forces
5.    Response to arbitrary dynamic forces
6.    Nonlinear dynamic response

II          Dynamics of Multi-Degree-Of-Freedom Structures
1.    Formulation of the matrix equations of motion
2.    Analysis of free vibrations
3.    Modal analysis and forced vibrations
4.    Nonlinear dynamic response

III         Dynamics of Continuous Structures
1.    Partial differential equations of motions (for strings, bars, beams)
2.    Modal analysis
3.    Wave propagation analysis

IV        Structural Response to Random Loadings
1.    Probability theory, random processes
2.    Correlation and spectral density functions
3.    Response to stationary random excitations
4.    Crossing, peak distributions, extreme value analysis, evaluation of fatigue life
5.    Application to wind engineering

V         Control of Dynamic Response
1.    Overview of vibration control measures
2.    Tuned Mass Dampers
3.    Active vibration control
 
Laboratory Sessions:

None.
 
Learning Resources:

Textbook:

No designated textbook, but class notes and handouts will be provided.
 
Reference Books:
1.    R. W. Clough, and J. Penzien, (1993):
Dynamics of Structures, McGraw-Hill, New York, 2nd Edition.

2.    A. K. Chopra, (2012):
Dynamics of Structures—Theory and Applications to Earthquake Engineering, 4th Edition, Prentice Hall, New Jersey.

3.    J. W. Smith, (1988):
Vibration of Structures: Applications in Civil Engineering Design, Chapman and Hall, London.

4.    T. R. Tauchert, (1974):
Energy Principles in Structural Mechanics, McGraw-Hill, ISE.

5.    H. Bachmann, and W. Ammann, (1987):
Vibrations in Structures—Induced by Man and Machines, Series: Structural Engineering Documents. Vol. 3e. International Association for Bridge and Structural Engineering (IABSE), Zurich, Switzerland.

6.    D. E. Newland, (1993):
An Introduction to Random Vibrations, Spectral and Wavelet Analysis, Longman, 3rd Edition, London.

7.    S. H. Crandall, and W. D. Mark, (1963):
Random Vibration in Mechanical Systems, Academic Press, New York.
 
Journals and Magazines:
1.    Earthquake Engineering and Structural Dynamics, John Wiley & Sons
2.    Engineering Structures, Elsevier
 
Time Distribution and Study Load:
·         Lectures:                    45 hours
·         Self-study:                 135 hours
 
Teaching and Learning Methods:

Class lectures along with weekly assignments.

 
Evaluation Scheme:
The final grade will be computed according to the following weight distribution: Mid-Semester Exam (30%), Assignments (20%), and Final Exam (50%). Open book examination is used for both mid-semester and final exams.

An “A” would be awarded if the student shows fully understanding of the theory and correctly solves all given problems.
A “B” would be awarded if the student shows good understanding of the subject and is able to correctly solve important problems. 
A “C” would be given if the student meets the minimum expectation on both understanding concepts and problem-solving capability.
 
Instructor(s):
SECTION NAME