Mechanical Vibrations (1.2 CEUs)

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This course is divided into 2 sessions. Each session will be 6 hours in duration.
The sessions will be held on Jul 20 & 21, 2026. And will be held again on Oct 26 & 27, 2026
This course will be offered in 2027 on the following dates: May 17,18,19,20 and will be offered again in Oct 12,13,14,15 , 2027

If you are unable to attend any of the sessions a recording will be made available.

Course Description
This course introduces the fundamental concepts of vibrations, free, damped, and forced vibration of single and multi-degree of freedom systems with discrete masses; various types of damping and vibration absorption techniques. Furthermore, students will learn about the quarter and half vehicle models, human response to vibration, and vehicle ride models.
 

Objective
Upon successful completion of this course, students will be able to demonstrate a sound understanding of the fundamental concept of vibration of mechanical systems. Including free vibration of single-degree-of-freedom systems; vibration systems excited by a harmonic force; forced vibration of systems under general forcing conditions; systems with multiple degrees of freedom systems and vibration isolators and vibration absorbers.
 
 

Target Audience
This course is ideal for mechanical, aerospace, automotive and manufacturing engineering students and graduates. The course is beneficial for engineers in industry that would like to expand their knowledge about machine design and different mechanical components.
 

Level of Course
This course is basic to intermediate. Students are expected to have some engineering knowledge in static and material science before joining the course. Student can also learn the required pre-requisites while taking the course.
 

Learning Objectives
 
1. Demonstrate a sound understanding of the fundamental concept of vibration of mechanical systems. Including free vibration of single-degree-of-freedom systems; vibration systems excited by a harmonic force; forced vibration of systems under general forcing conditions; systems with multiple degrees of freedom systems and vibration isolators and vibration absorbers.
 
2. Generate a two-degree-of-freedom vehicle model for pitch and bounce to analyze vehicle ride characteristics and evaluate vehicle human exposure to whole-body vibration.
 
 

Material(s) Required
Calculator
 
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Dr.Zeinab El-Sayegh

Zeinab El-Sayegh is an Assistant Professor in the Department of Automotive and Mechatronics Engineering at Ontario Tech University. She currently serves as the Co-Director of the Tire-Terrain Interaction Simulation (TTIS) and Truck Driving & Vehicle Dynamics (TDVS) Laboratories. Dr. El-Sayegh earned her Ph.D. and completed a postdoctoral fellowship in Mechanical Engineering at Ontario Tech University. Previously, she worked as a Vehicle Analyst at Volvo Group Trucks Technology in Gothenburg, Sweden, and as a Combustion Analyst at Siemens Aero-Derivative Gas Turbines in Montreal.
Her research focuses on transportation, vehicle design for both on-road and off-road applications, and autonomous vehicle simulation. She is actively involved in tire-terrain interaction research in collaboration with Volvo Group Trucks Technology and NSERC.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        

Day 1: Vibration of SDOF Systems

  1. Introduction
  2. Free vibrations of undamped system
  3. Free vibrations of a damped system
  4. Free vibrations of torsional system
  5. Free vibrations with Coulomb Damping
  6. Response of forced undamped system
  7. Response of undamped system under harmonic force
  8. Response of damped system under harmonic force
  9. Response of a damped system under harmonic motion

Day 2: Two-Degree of Freedom Systems

      1. Introduction
2. Equation of Motion for Forced Vibration
3. Free Vibration of Undamped System
4. Two Degrees of Freedom
5. Changes ODE into algebraic equation
6. Human Response to Vibration
7. Comfort Criteria of Human Tolerance

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