SMA50 Dynamic Analysis of Structures

Module code: SMA50

ECTS Credit Points:

Module Type:


Language: Greek

Module general description:
I. Basic characteristics of a structural dynamics problem: dynamic loads, structural modelling, dynamic response .Analysis of free vibrations of a single degree of freedom system and determination of its response to harmonic or transient forces in the time or frequency domain taking also into account the effect of viscous damping. Derivation of the equations of motion of a multi degree of freedom system (structure) with the aid of the mass, stiffness and damping matrices of that system .Determination of natural frequencies and modal shapes of the structure.
Determination of the dynamic response of multi degree of freedom systems (structures) by the modal superposition method or by the stepwise time integration of the equations of motion. The dynamic forces may be harmonic or general transient ones including seismic forces in conjunction with rigid soil .Concept of the response spectra and the design spectra .Determination of the maximum structural seismic response by using modal superposition in conjunction with response or design spectra.

II. Determination of the dynamic response of inelastic multi degree of freedom systems (structures) either by stepwise time integration of the equations of motion or by other special methods .Definition and computation of ductility factor, damage index and behaviour factor of a structure.
Description and application of the Greek Seismic Code and Eurocode 8 for the seismic design of a simple building structure .Influence of the soil-structure interaction phenomenon on the structural dynamic response .Use of seismic base isolation in structures to reduce the seismic stresses.

III. Definition of random variables and random processes in structural dynamics .Mean value and standard deviation .Determination of the stochastic dynamic response of linear single and multi degree of freedom systems (structures) subjected to random loading. Determination of the stochastic dynamic response of simple non-linear structures or simple continuous systems under random loading .Modelling of random fields and analysis of the structural seismic vulnerability with the aid of stochastic structural dynamics.

Learning Outcomes: After the successful completion of the above course, the student will be able to,
1) Describe problems of free and forced vibrations of single and multi degrees of freedom structures, under elastic or inelastic material behavior and determine their response to dynamic and especially seismic loads under deterministic or stochastic conditions of analysis.
2) Distinguish and compute the mass, stiffness and damping matrices of a structure, use the above for the computation of the dynamic response of this structure with the aid of the method of superposition of modes-response spectra or the method of the time integration of the equations of motion and finally apply all the above in the framework of seismic codes for the design of a structure.
3) Analyse a problem of structural dynamics into subproblems (e.g.,determination of modal frequencies and shapes, or modeling reduction of a complex system into a simpler one or use of the substructuring method in soil-structure interaction), synthesize appropriately subproblems (e.g., use of the method of modal superposition ), evaluate models of systems and methods of determination of dynamic response of structures and assess analysis and synthesis results as they are related to practice.

Subjects covered:

  1. Dynamic analysis of structures
  2. Earthquake engineering
  3. Advanced topics of dynamics of structures and earthquake engineering

Learning Material: The HOU publications can be viewed here.

Teaching Method: Distance education with five Contact Sessions held at weekends during the academic year

Evaluation: Completion of five written assignments during the academic year, the average grade of which constitute a 30 percent of each student's grade, if a pass is obtained in the final or repetitive examination. Final exam grades constitute a 70 percent of the students' final course grade. More information is available