Note from June 29, 2020
Although we do not yet know how long the social distancing related to the Covid-19 pandemic will last, and regardless of the changes that had to be made in the evaluation of the June 2020 session in relation to what is provided for in this learning unit description, new learnig unit evaluation methods may still be adopted by the teachers; details of these methods have been - or will be - communicated to the students by the teachers, as soon as possible.
Although we do not yet know how long the social distancing related to the Covid-19 pandemic will last, and regardless of the changes that had to be made in the evaluation of the June 2020 session in relation to what is provided for in this learning unit description, new learnig unit evaluation methods may still be adopted by the teachers; details of these methods have been - or will be - communicated to the students by the teachers, as soon as possible.
4 credits
20.0 h + 15.0 h
Q1
Teacher(s)
Saraiva Esteves Pacheco De Almeida João;
Language
English
Prerequisites
A good knowledge of strength of materials, structural mechanics and structural analysis is required, as taught for example in LGCIV1031, LGCIV1022 and LGCIV1023.
Main themes
See Content
Aims
At the end of this learning unit, the student is able to : | |
| AA 1.1, AA 1.2, et AA 1.3 |
|
The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
Content
- Linear singledegreeoffreedom (SDoF) systems: free vibration, damping values in structures, harmonic loading, evaluation of viscous damping and frequency, response to unit impulse and other forces, methods of solution, force transmission, response to ground motion, and vibration isolation.
- Nonlinear SDoF systems: numerical time-domain integration (central difference, constant average acceleration and linear acceleration, Newmark), classification, stability, computational error, algorithmic damping, inelastic response (bilinear system).
- Linear multidegreeoffreedom (MDoF) systems: free vibration of undamped systems (natural vibration frequencies and modes, modal and spectral matrices, orthogonality of mode shapes, normalisation, modal expansion), free vibration of damped systems, damping and energy dissipation in linear (and nonlinear) analyses, damping models, modal analysis, displacement response and element forces, restated form, modal contribution factors, modal responses and required number of modes, influence of dynamic response factor, applications (including ground motion).
- Nonlinear multidegreeoffreedom (MDoF) systems: numerical time-domain integration, applications.
- Frequency-domain method of response analysis.
Teaching methods
Lectures based on course slides and exercise solving with student participation.
Evaluation methods
Assignments and written exam.
Other information
- Assignments: use of Matlab scripts.
- Project: use of commercial structural analysis software (e.g., SCIA and SeismoStruct).
Online resources
Available on Moodle.
Bibliography
- « Dynamics of structures: Theory and Applications to Earthquake Engineering », Anil K. Chopra, Prentice Hall, 2012.
- « Dynamics of structures », Ray W. Clough and Joseph Penzien, Computers & Structures, 2003.
- « Vibration problems in structures: Practical guidelines », Hugo Bachmann et al., Birkhauser Verlag, 1995.
Faculty or entity
GC
