101-0157-01L  Structural Dynamics and Vibration Problems

SemesterAutumn Semester 2018
LecturersB. Stojadinovic, V. Ntertimanis
Periodicityyearly recurring course
Language of instructionEnglish


101-0157-01 GStructural Dynamics and Vibration Problems2 hrs
Thu14:45-16:30HPV G 5 »
B. Stojadinovic, V. Ntertimanis

Catalogue data

AbstractFundamentals of structural dynamics are presented. Computing the response of elastic and inelastic single-DOF, continuous-mass and multiple-DOF structural systems subjected to harmonic, periodic, pulse, impulse, and random excitation is discussed. Practical solutions to vibration problems in flexible structures excited by humans, machinery, wind and explosions 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, continuous-mass and multiple-degree-of-freedom models.
4. Compute the dynamic response of structural system to harmonic, periodic, pulse, impulse and random excitation using time-history and response-spectrum methods.
5. Apply structural dynamics principles to solve vibration problems in flexible structures excited by humans, machines, wind or explosions.
6. 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, continuous-mass and multiple-degree-of-freedom structural systems subjected to harmonic, periodic, pulse, impulse, and random 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. Laboratory demonstrations of single- and multi-degree-of-freedom system dynamic response and use of viscous and tuned-mass dampers are conducted.
Lecture notesThe electronic copies of the learning material will be uploaded to ILIAS and available through myStudies. The learning material includes: the lecture presentations, additional reading material, and exercise problems and solutions.
LiteratureDynamics of Structures: Theory and Applications to Earthquake Engineering, 4th edition, Anil Chopra, Prentice Hall, 2014

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.
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
ExaminersB. Stojadinovic, 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. One 1.5-hour long written interim examination offered during the semester. Here as a continuous performance assessment of the course, the interim examination is not mandatory and counts for 30% of the final grade only if it improves the final grade. Students can earn the maximum course grade even if they take only the final examination.
Written aidsCourse textbooks, lecture notes, reading material, exercises/solutions Structural design codes/design tables. Dictionaries. Personal computer No structural analysis software. No communication in any form.
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