Summary

This course covers theoretical and practical aspects of the dynamic response of linear and nonlinear structural systems in continuous and discrete time. First and second order system dynamics are used. Applications will be focused on the passive vibration control of structures.

Content

Keywords

state-space, linear systems, damping, earthquake engineering, vibration control, dynamic response

Learning Prerequisites

Required courses

CIVIL-420 or equivalent; CIVIL-224 or equivalent

Recommended courses

Course in matrix structural analysis

Important concepts to start the course

Linear algebra, differential equations, matrix structural analysis, virtual displacements, modal analysis, programming skills in Matlab and/or Python

Learning Outcomes

By the end of the course, the student must be able to:

• Understand in detail the fundamental concepts that control the dynamic response of structures
• Compute the dynamic response of nonlinear structural systems with localized material nonlinearity
• Formulate the equations of motion of different types of structural dynamic systems
• Apply and understand the different technique for passive vibration control of structures
• Use proficiently the technique of discrete Fourier analysis of structures
• Use and learn discretization techniques for the analysis of continuous structural systems
• Compute the dynamic response onf any linear dynamic system clasically or non clasically damped

Teaching methods

Lectures, exercises and assignments. The aim of the course is to achieve a good combination between professor - and student- centered activities.

Expected student activities

Attend to lectures and exercice classes, and work individually in homeworks. Come to office hours if assistance is needed regarding lectures and seek support of TAs regarding homeworks.

Assessment methods

The assigments and exam count 50% each toward the final grade

Supervision

Resources

Websites

• http://Yes

Moodle Link

• https://go.epfl.ch/CIVIL-467

Prerequisite for

No