Structural Dynamics and Earthquake Engineering

Code:

EC0050

Acronym:

DEES

Keywords
Classification	Keyword
OFICIAL	Structures

Instance: 2011/2012 - 1S

Active?	Yes
E-learning page:	http://moodle.fe.up.pt/
Responsible unit:	Structural Division
Course/CS Responsible:	Master in Civil Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MIEC	44	Syllabus since 2006/2007	5	-	5	60	133

Teaching language

Suitable for English-speaking students

Objectives

This course aims to act as complement of the understanding of analysis formulation of linear systems under deterministic dynamic excitation, so this course aims to act as an extension of the course Structural Analysis II.
This course is an introduction to basic procedures on experimental dynamic analysis.
This course also aims to acquaint students with the application of methods of structural dynamics to the analysis of the structural behaviour under dynamic excitations. It will be given a special emphasis on seismic response of the structures of buildings regarding the regulations RSA (Regulamento de Segurança e Acções para Estruturas de Edifícios e Pontes – Regulation for the Security and Actions for Building and Bridges Structures); REBAP (Regulamento de Estruturas de Betão Armado e Pré-Esforçado- Regulation for the Reinforced and Pre-stressed Concrete Structures); Eurocode 8 and 2.
This course also aims to acquaint students with the basic principles of seismic dimensioning, relating them with the regulations and stress its importance on the design of seismic resistant structures.

Program

Part 1: Structural Dynamics

Importance of structural analysis of dynamics in the context of Civil Engineering

Linear systems (oscillators) with one degree of freedom
- revision of some themes of the course Structural Analysis II: mathematical model; free vibration response with and without damping; response to a sinusoidal excitation; experimental identification of natural frequency and of damping coefficient
- shape functions and one degree of freedom systems
- Harmonic excitation
- Duhamel integral and Fourier analysis
- Seismic response of a linear oscillator of one degree of freedom
- Rayleigh method

Linear systems with different degrees of freedom
Revision of some themes of the Structural Analysis II course: mathematical model; free vibration response with and without damping; sinusoidal excitation response; experimental identification of natural frequency and of damping coefficient
- Rayleigh method (seismic response) particular case of modal superposition
- Rayleigh’s damping matrix and how to get it; other formulations
- Dynamic analysis of time integration


Part II: Seismic Engineering
Seismic dimensioning: fundamentals
- direct dimensioning (RSA and EC8)
- dimensioning by its resistance; fundamentals and references to EC8
- control methods and seismic performance; pushover analysis (EC8) and non-linear dynamic analysis
- seismic design according to EC8; general principles, aims, concepts and methodologies; main changes on RSA: ductility classes; structural regularity conditions; behaviour coefficients; elastic response spectrum and design response spectrum; seismic resistant structures; a brief overview on dimensioning related with ductility classes

DEMONSTRATION OF THE SYLLABUS COHERENCE WITH THE CURRICULAR UNIT'S OBJECTIVES:

The dynamic analysis of structures follows the analysis under static loads of taught in Structural Analysis 1 and 2, constituting a development and acquisition of additional knowledge on the behavior of structures. The need to regulate the use of dynamic analysis (especially seismic) in the practice of Civil Engineering, coupled with the powerful computational resources already available, emphasizes the relevance of Structural Dynamics and Earthquake Engineering subjects which already has about 25 year Civil Engineering course at FEUP.

Mandatory literature

Anil K. Chopra; Dynamics of Structures. ISBN: 0-13-521063-1

Complementary Bibliography

Ray W. Clough and Joseph Penzien; Dynamics of structures. ISBN: 0-07-113241-4
Mario Paz; Structural dynamics. ISBN: 0-442-31894-4
Mário Lopes (Coordenador); Sismos e Edifícios, Orion, 2008. ISBN: 978-972-8620-11-0

Teaching methods and learning activities

Theoretical classes are used for the presentation of the main concepts and methodologies, duly complemented by the presentation of some applications, as well as of some experimental tests on physical models.
Practical classes are essentially used go deeper inside the discussion and resolution of practical problems suggested in the theoretical classes.

DEMONSTRATION OF THE COHERENCE BETWEEN THE TEACHING METHODOLOGIES AND THE LEARNING OUTCOMES:

Interpret and solve a set of practical problems in structures of civil engineering required by dynamic actions in general and seismic in particular, using the methods taught in the calculation of dynamic response. Apply knowledge transmitted in the experimental evaluation of the response of small physical models, trying to make predictions of behavior based on numerical simulations. Analyze and distinguishing characteristics of dynamic response of civil engineering structures in the face of the type of applied actions (initial conditions, harmonic actions, impulsive and seismic).

Evaluation Type

Distributed evaluation without final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Attendance (estimated)	Participação presencial	56,00
	Total:	-	0,00

Eligibility for exams

Students can complete the continuous assessment component, only by ensuring the attendance of at least 25% of the practical classes, by attending a mini-test and by doing one optional practical assignment. The obtained mark is valid only for the 2011/12.
Practical assignments requirements will be presented at the latest in the theoretical class of the 3rd October. The corresponding report should be given to the practical classes professors until 18h of 19th October, in order to be corrected and discussed on 21st October starting at 9h30m.

Calculation formula of final grade

The final mark is obtained according to the following formula:

CF = max {0.75xMT + 0.25xAD; MT};

where CF is the final mark, MT is the mini-test mark and AD is the continuous assessment component mark.

Examinations or Special Assignments

One optional practical assignment of synthesis and one minit-test.

Special assessment (TE, DA, ...)

SPECIAL RULES FOR MOBILITY STUDENTS:
Proficiency in Portuguese and/or English;
Previous attendance of introductory graduate courses in the scientific field addressed in this module;
Evaluation by exam and/or coursework(s) defined in accordance with student profile.

SPECIAL RULES FOR WORKING STUDENTS (AND OTHERS IN SIMILAR SITUATION)
Students who have a working student status (or similar) do not need to do the practical assignments. They have to attend to the mini-test with the rest of the students reaching at least the mark 9,5 in the range 0-20. The recurso exam follows the same pattern.

Classification improvement

Recurso exam will take place duringthe week between the normal and recurso season, according to the general evaluation rules of MIEC 2011/12, in the same conditions of the mini-test and of the acumulation with the continuous assessment component mark.

Observations

Previous required skills: topics of structral analysis and behaviour teached in dispciplines such as Structural Mechanics, Stength of Materials, Theory of Structures and Reinforced Concrete Structures.

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Estimated working time out of classes: 6 hours