Subject: Structural Dynamics and Earthquake Engineering

Scientific Area:

Civil Engineering


80 Hours

Number of ECTS:

7,5 ECTS



Overall objectives:

1 - Compute the response of one degree of freedom dynamic systems subjected to dynamic loading (applied forced or base movements).
2 - Compute the response of multi degree of freedom dynamic systems subjected to dynamic loading (applied forced or base movements). Understand the fundaments of the response spectrum analysis.
3 - Introduction to time integration methods and to Rayleigh damping.
4 - Design of earthquake resistant structures and codes.
5 - Seismic hazard and risk concepts.


1 - Introduction to structural dynamics
1.1 - Basic concepts
1.2 - Formulation of the fundamental equations
2 - Dynamic of one degree of freedom systems
2.1 - Free vibrations and forced vibrations
2.2 - Dynamic analysis with. Duhamel integral
2.3 - Response to a ground motion. Response spectra definition
2.4 - Response analysis in the frequency domain
3 - Dynamic of multi degree of freedom systems
3.1 - Equation of dynamic equilibrium
3.2 - Analysis of frequency and vibration modes shape
3.3 - Rayleigh method
3.4 - Modal analysis
3.5 - Response spectrum analysis
4 - Dynamic analysis using time integration methods. Rayleigh damping
5 - Design of earthquake resistant structures and codes
6 - Seismic risk and hazard concepts
6.1 - Earthquake generation mechanisms
6.2 - Seismic waves
6.3 - Earthquake characteristics
6.4 - Seismicity of Portugal
6.5 - Seismic risk concept


F. Beer, E.R. Johnston, W.E. Clausen , 2006 , Mecânica vetorial para engenheiros: Dinâmica (7ª Edição) , McGraw-Hill
A.K. Chopra , 2006 , Dynamics of Structures: Theory and Applications to Earthquake Engineering (3rd Edition) , Prentice Hall
Lopes, M. (ed.) , 2008 , Sismos e Edifícios , Orion
R. Clough, J. Penzien , 1995 , Dynamics of Structures , McGraw-Hill

Assesssment methods and criteria:

Classification Type: Quantitativa (0-20)

Evaluation Methodology:
Oral and written presentations of the course syllabus. Application of practical examples to consolidate the theory. Two tests, each with 50% weight in the final evaluation, in order to assess theoretical and practical knowledge. This way the student can, throughout the semester, evaluate its performance and change strategies as needed. Exam: final exam that covers the various topics of the course.