Mechanical Vibrations Lecture 21

Instructor: Dr. Ahmad M. Panah,
PhD, PEng, Mechanical Engineer
Lecturer at the University of British Columbia
University Homepage: mech.ubc.ca/ah...
Website: aintelligentma...
Available Lectures on Statics, Dynamics, Machine Dynamics, Mechanical Vibrations, Manufacturing Processes, etc. For more information please subscribe and visit my Channel:
Intelligent Engineering: / @capstoneubc3188
About this course:
This course, presented in 26 lectures, focuses on understanding the small-scale motions of mechanical systems near their stable equilibrium states, offering a fresh perspective compared to traditional dynamics courses that focus on large-scale motions. Throughout the course, students will learn how to derive and solve linearized differential equations of motion for these systems, covering key topics like kinematics, free body diagrams, and force and moment balance equations. The lectures will delve into essential areas of vibrations, including:
Free Vibrations of Undamped SDOF
Forced Vibrations of Undamped SDOF
Vibrations of NDOF
Damping
Continuous Systems
The course emphasizes two primary approaches: the Free Body Diagram and Force Method (Newton’s and Euler’s Laws), and the Energy Method (Lagrange’s Equation), with a strong focus on problem-solving for a deep understanding of these concepts.
Some of the images are adopted from Engineering Mechanics: Dynamics, by Meriam.
Homepage: mech.ubc.ca/ah...