Advanced Structural Dynamics
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
General formulation of the dynamic equations of motion of structural sytems
Different representations of dynamics systems (second-order, state-space, input-output relations)
Integration methods for the equations of motion in continuous and discrete time (direct integration, modal analysis, explicit and implicit methods, stiff equation methods)
Discrete-time Fourier analysis of structural systmes and mechanical/physical filters
Dynamic response of non-clasically damped systems
Approximate methods: dynamic order reduction of dynamic systems (truncation, Ritz and Lanczos vectors, substructuring)
Dynamic formulation and response of space continuous structural systems
Application of passive control of structural vibrations (tuned mass dampers, viscoelastic, viscous, frictional and metallic dampers)
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
| Office hours | Yes |
| Assistants | Yes |
| Forum | No |
Prerequisite for
No
In the programs
- Semester: Spring
- Exam form: During the semester (summer session)
- Subject examined: Advanced Structural Dynamics
- Lecture: 2 Hour(s) per week x 14 weeks
- Exercises: 1 Hour(s) per week x 14 weeks
- Semester: Spring
- Exam form: During the semester (summer session)
- Subject examined: Advanced Structural Dynamics
- Lecture: 2 Hour(s) per week x 14 weeks
- Exercises: 1 Hour(s) per week x 14 weeks