Dynamics of structures

CIVIL-468 / 4 credits

Teacher(s): Lignos Dimitrios, Vanin Francesco

Language: English

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
  • Courses: 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
  • Courses: 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
  • Courses: 3 Hour(s) per week x 14 weeks
  • Exercises: 1 Hour(s) per week x 14 weeks
  • Type: optional

Reference week

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