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101-0157-01L  Structural Dynamics and Vibration Problems

SemesterAutumn Semester 2016
LecturersB. Stojadinovic
Periodicityyearly recurring course
Language of instructionEnglish


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.