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Structural Dynamics and Vibration Problems
Last Updated: 2026-02-05 16:01:14
Abstract
Fundamentals of structural dynamics are presented. Computing the response of elastic single and multiple DOF structural systems subjected to harmonic, periodic, pulse, and impulse is discussed. Practical solutions to vibration problems in flexible structures under diverse excitations are developed.
Objective
After successful completion of this course the students will be able to: 1. Explain the dynamic equilibrium of structures under dynamic loading. 2. Use second-order differential equations to theoretically and numerically model the dynamic equilibrium of structural systems. 3. Model structural systems using single-degree-of-freedom and multiple-degree-of-freedom models. 4. Compute the dynamic response of structural system to harmonic, periodic, pulse, and impulse excitation using time-history and response-spectrum methods. 5. Use dynamics of structures to identify the basis for structural design code provisions related to dynamic loading.
Content
This is a course on structural dynamics, an extension of structural analysis for loads that induce significant inertial forces and vibratory response of structures. Dynamic responses of elastic and inelastic single-degree-of-freedom and multiple-degree-of-freedom structural systems subjected to harmonic, periodic, pulse, and impulse excitation are discussed. Theoretical background and engineering guidelines for practical solutions to vibration problems in flexible structures caused by humans, machinery, wind or explosions are presented.
Resources
Lecture Notes
The class will be taught mainly on the blackboard.Accompanying electronic material will be uploaded to ILIAS and available through myStudies.All the material can be found in Anil Chopra's comprehensive textbook given in the literature below.
Literature
Dynamics of Structures: Theory and Applications to Earthquake Engineering, 4th edition, Anil Chopra, Prentice Hall, 2014 (Global Edition), ISBN-10: 9780273774242 Vibration Problems in Structures: Practical Guidelines, Hugo Bachmann et al., Birkhäuser, Basel, 1995 Weber B., Tragwerksdynamik. http://e-collection.ethbib.ethz.ch/cgi-bin/show.pl?type=lehr&nr=76 .ETH Zürich, 2002.
Learning Materials (Links)
General Information
- Language
- English
- Levels
- MSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- written 180 minutes
- Aids
- One A4 page of hand-written notes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture with exercise | Structural Dynamics and Vibration Problems |
|
2 h weekly |