Educational offer - University of Padova

Syllabus

Prerequisites:	Solid Mechanics, Numerical Methods, Solid Mechanics 2, Structural Mechanics
Target skills and knowledge:	* Acquire the theoretical foundations underlying the real dynamic behavior of SDOF and MDOF systems, with particular reference to the concepts of dynamic/seismic response and to the definitions of resistant inertial forces, resistant elastic forces and viscous damping forces, as well as response spectra; * Acquire the methodologies necessary for critical analysis and rough seismic design of framed structures; * Knowing, understanding and being able to use current regulations for the development of anti-seismic design and analysis; * Be able to critically analyze framed girders and determine their dynamic response, also through F.E. softwares; * Be able to clearly articulate the topics discussed during the course, as well as to critically analyze them, link them and -if possible- transfer them to a practical example.
Examination methods:	Mid-term tests, oral/written exam and practical test (project). During the course even exercises are assigned in the form of homeworks or tests to be solved during the lecture itself. The mid-term tests replace the oral exam, which serves as an integrative test; the topics covered by the tests are those dealt with during the course by the course holder. The project concerns the definition of the seismic response of typical structures in steel or reinforced concrete and allows to verify the student's skills in the application of the existing regulations for typical buildings.
Assessment criteria:	The evaluation criteria are based on the assessment of: - calculation and resolution capabilities for SDOF and MDOF structural systems, as well as primarily the acquisition of correct resolution methodologies in the dynamic field; - problem-solving skills; - knowledge and understanding of the concepts and theoretical topics developed during the course; - ability to link subjects and critical re-elaboration; - correct understanding of the current legislation and its application for assigned typical buildings; - ownership of language, with particular reference to the acquisition of technical terminology.
Course unit contents:	Examples of dynamic forces, procedures of dynamic analysis, dynamic analysis of 1 dof systems. Response in free vibrations: undamped and damped free vibrations, critical damping. Response to harmonic loads: undamped and damped systems, resonance. Vibrations isolation. Damping ratio. Response to impulsive loads: sinusoidal-type impulse, step-wise impulse. Examples and exercises. Response spectra. Response to generic dynamic loads: Duhamel and convolution integrals. Numerical evaluation of Duhamel integral for an undamped system: simple summation, trapezoidal rule, Sympson. Damped systems. Fourier integral and transform. response spectra with base motion. Numerical solution of the motion equations for non-linear systems. Step-by-step numerical methods. Mdof systems. Modal analysis: the modal superposition method, damping matrix (Rayleigh damping, modal damping), seismic excitation, example. Applications of static and dynamic analysis according to the Italian Recommendations. Ductility of structural elements, structural ductility, elastic-plastic oscillator. Directional effect of the seismic action, approach to Technical Recommendations from OPC 3274, approach to Eurocode 8
Planned learning activities and teaching methods:	The course is structured in frontal lessons. Interaction with the student and his direct participation during the development of the classroom exercises is stimulated.
Additional notes about suggested reading:	- Seismic Engineering * Clough, R.W., Penzien, J., Dynamics of Structures, Mc. Graw-Hill, NY, USA, ISBN 0-07-011392-0, 1975. * Filiatrault, A., Elements of earthquake engineering and structural dynamics, Polytechnic International Press, Canada, ISBN-13 978-2553006296, 1998. * OPCM N 3274 del 20 Marzo 2003: Primi elementi in materia di criteri generali per la classificazione sismica del territorio nazionale e di normative tecniche per le costruzioni in zona sismica. * UNI-ENV 1998-1 Indicazioni progettuali per la resistenza sismica delle strutture. * Testo Unico per le Costruzioni. - Modal analysis and identification * Ewins, D.J., Modal Testing: Theory, Practice and Application, Mechanical Engineering Research Studies: Engrg Dynamics Series, WileyBlackwell, ISBN-13 978-0863802188, 1999.
Textbooks (and optional supplementary readings)	Chopra, A.K., Dynamics of Structures: Theory and applications to earthquake engineering. One Lake Street, NJ, USA: Prentice Hall, 2012. ISBN 13: 978-0-13-285803-8 Majorana, C., Modena, C., Franchetti, P., Grendene, M., Secchi, S., Fondamenti di dinamica e di ingegneria sismica. Milano: McGraw-Hill, 2007. Viola, E., Fondamenti di dinamica e vibrazione delle strutture; Vol. I: Sistemi discreti; Vol. II: Sistemi continui. Bologna: Pitagora, 2001. ISBN 88-371-1137-1, 88-371-1138-X Diana, G., Cheli, F., Dinamica e Vibrazioni dei sistemi Meccanici. Torino: Utet, 1993. Den Hartog, J.P., Mechanical Vibrations. NY, USA: Dover Publications, 1985. ISBN 0-486-64785-4 Géradin, M., Rixen, D., Mechanical Vibrations. NY, USA: John Wiley & Sons, 1994. ISBN-13 978-0471939276 Meirovitch, L, Fundamentals of Vibrations. NY, USA: McGraw-Hill International Edition: Mechanical eng., 2001. ISBN-13 978-0071181747 Muscolino, G., Dinamica delle strutture. Milano: McGraw-Hill, 2002. ISBN 88-386-0900-4