Dynamics of Structures


This course is intended to supplement  fundamental concepts of structural dynanics and sound principles for modeling and design.

"Engineering judgement" based on evaluation of basic characteristics of loading and of the resisting system is trained, both through analytical work and study of applications.

Some  special problems are studied to provide insight that will make future engineers aware of specific and interesting cases.

General characterization





Responsible teacher

Corneliu Cismasiu


Weekly - 5

Total - 70

Teaching language





Anil K. Chopra. Dynamics of Structures: Theory and Applications to Earthquake Engineering. Prentice-Hall, September 2006

Ray W. Clough and Joseph Penzien. Dynamics of structures. McGraw-Hill, ISBN-13: 9780070113947, March 1993

NP EN 1998-1 2010

Teaching method

The discipline consists of set of theoretical and practical classes. In the  theoretical ones, the students are introduced to the basic principles of the dynamic analysis of Civil Engineering structures, emphasizing the response spectrum modal analysis for multi-degrees-of-freedom systems, according to the EC8. These concepts are applied in the practical classes to solve small exercises.

Apart from these classes and in order to consolidate the acquired knowledge, the students, formed into groups, will design, implement and test on an educational shake table a small scale prototype of a Civil Engineering structure.

The assessment of the acquired knowledge has several components: a final exam, with a weight of 65% in the final mark, a continuous evaluation  throughout the semester that classify the performance of students in practical classes, weighting of 10%, and the mark obtained in the practical work, with a weight of 25%.


Evaluation method


Subject matter


  • Introduction to Dynamics of Structures
  • Dynamic response of one degree-of-freedom systems
    • Free vibrations
    • Response to harmonic excitation
    • Response to other loading functions
    • Rayleigh method
    • Response to earthquakes using response spectras
  • Dynamic response of multi degrees-of-freedom systems
    • Stiffness, mass and damping matrices
    • Modal analysis of multi dof systems
    • Response to earthquakes
  • Structural design for seismic resistance (NP EN 1998-1 2010)