Dynamics of structures
Summary
Dynamics loads on structures, equations of motion of linear single- and multiple-degree-of freedom systems; free an forced vibrations; damping in structures: modal superposition and response history analysis, earthquake effects
Content
Week 1:Course objectives, introduction of single degree of freedom (SDF) systems
Week 2: SDF systems, free vibration, response to harmonic, arbitrary and pulse excitations
Week 3: numerical evaluation/analysis of dynamic response
Week 4: Earthquake response of linear SDF systems
Week 5: Elastic response spectra
Week 6: Eartquake response of inelastic SDF systems
Week 7: Inelastic response spectra
Week 8: Multi-degree-of-freedom (MDF) systems – equations of motion
Week 9: Free vibration, Eigenvalue analysis
Week 10: Damping in structures, dynamic analysis and response of linear systems
Week 11: Earthquake analysis of linear systems, uncoupled modal response history analysis
Week 12: Vibration-based measurement techniques
Week 13: Earthquake resonse of conventional and base isolated structures
Week 14: Structural dynamics applications
Keywords
Structural dynamics, damping, response spectrum analysis, modal analysis
Learning Prerequisites
Required courses
Statique I, Statique II
Recommended courses
Analyse I, Algèbre linéaire, Physique générale I et II
Learning Outcomes
By the end of the course, the student must be able to:
- Develop insights into the working of struture dynamics from first principles
- Assess / Evaluate the dynamic response of structures under vibrations of various types
- Conduct response spectrum analysis
- Conduct numerical analyses of single and muti-degree of freedom systems
- Conduct hands on vibration-based analysis to infer the dynamic properties of structural systems
Transversal skills
- Continue to work through difficulties or initial failure to find optimal solutions.
- Use a work methodology appropriate to the task.
- Plan and carry out activities in a way which makes optimal use of available time and other resources.
- Communicate effectively, being understood, including across different languages and cultures.
Teaching methods
Powerpoint
Tools to facilitate learning of structural dynamics
in-class exercise sessions
Assignments
Expected student activities
Class participation, in-class exercise solutions, presentations
Assessment methods
Semester assignments, final written examination
Supervision
| Office hours | Yes |
| Assistants | Yes |
| Forum | No |
| Others | The course lectures will be provided on line 2 days after each class |
Resources
Bibliography
Chopra, A.K., Dynamics of Structures - Prentice Hall, New Jersey
- Dynamique des structures / Paultre
•Dynamics of structures / Chopra
Ressources en bibliothèque
Prerequisite for
Génie Parasismique. Dynamique des structures - méthodes numériques. Construction en béton. Construction métallique. Mécanique des sols et géotechnique. Construction en bois
In the programs
- Semester: Fall
- Exam form: Written (winter session)
- Subject examined: Dynamics of structures
- Lecture: 3 Hour(s) per week x 14 weeks
- Exercises: 1 Hour(s) per week x 14 weeks
- Type: optional
- Semester: Fall
- Exam form: Written (winter session)
- Subject examined: Dynamics of structures
- Lecture: 3 Hour(s) per week x 14 weeks
- Exercises: 1 Hour(s) per week x 14 weeks
- Type: optional
- Semester: Fall
- Exam form: Written (winter session)
- Subject examined: Dynamics of structures
- Lecture: 3 Hour(s) per week x 14 weeks
- Exercises: 1 Hour(s) per week x 14 weeks
- Type: optional