101-0157-01L  Structural Dynamics and Vibration Problems

SemesterAutumn Semester 2023
LecturersM. Vassiliou, V. Ntertimanis
Periodicityyearly recurring course
Language of instructionEnglish


101-0157-01 GStructural Dynamics and Vibration Problems2 hrs
Tue15:45-17:30HCI J 6 »
M. Vassiliou, V. Ntertimanis

Catalogue data

AbstractFundamentals 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.
ObjectiveAfter 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.
ContentThis 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.
Lecture notesThe 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.
LiteratureDynamics 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. Link .ETH Zürich, 2002.
Prerequisites / NoticeKnowledge of the fundamentals in structural analysis, and in structural design of reinforced concrete, steel and/or wood structures is mandatory. Working knowledge of matrix algebra and ordinary differential equations is required. Familiarity with Matlab and with structural analysis computer software is desirable.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits3 credits
ExaminersM. Vassiliou, V. Ntertimanis
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is only offered in the session after the course unit. Repetition only possible after re-enrolling.
Mode of examinationwritten 180 minutes
Additional information on mode of examinationOne mandatory 3-hour long written final session examination covering the entire course material.
Written aidsOne A4 page of hand-written notes
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

LiteratureCourse textbook. Prof. Dr. Anil Chopra: Dynamics of Structures
Only public learning materials are listed.


No information on groups available.


There are no additional restrictions for the registration.

Offered in

Civil Engineering MasterMajor in Structural EngineeringWInformation