Brief course descriptions
The subject area for this course is mechanical vibration, at a level appropriate for master and doctoral graduate students. Classical techniques in mechanical vibration are developed for the modeling and analysis of discrete and continuous linear dynamic systems. Continuous systems are described within the broader context of operator theory to emphasize the physical and mathematical analogies with discrete systems.
Course keywords
Vibrations, Hamilton’s principle, Variational method, Eigenvalue Problem, Galerkin's metho, Modal analysis, Rayleigh quotient
Prerequisites
PME 332000 “Mechanical Vibrations,” or its equivalent.
Textbook
L. Meirovitch, Analytical Methods in Vibrations, Macmillan.
Lecture notes/materials provided by Professor Chang.
Course Outline and Reading Schedule
Discrete Systems:
1. Review of Single Degree of Freedom Systems (Meirovitch, Chapter 1)
2. Equations of Motion for Multi-Degree of Freedom Systems (Chapter 2, 3)
3. Free Vibration (Chapter 4)
4. Modal Analysis (Chapter 7.1-7.6 and 9.1-9.5)
Continuous Systems:
5. Equations of Motion for Continuous Systems (Course notes and Chapters 5, and 10.1-10.5)
6. Eigenvalue Problems of Continuous Systems (Course notes and Chapter 5)
7. Modal Analysis (Course notes and Chapter 7.7-7.17)
8. Special topics
