Loading...

ME202: Mechanics II - Dynamics

Unit 6: Vibrations   Objects subject to a restoring force will vibrate about a neutral position.  In this unit, we will look at the four basic modes of vibration and then derive ways in which we can model them. We will also formulate and solve problems to understand the practical implications of theory learned.

Unit 6 Time Advisory
This unit will take you approximately 4 hours to complete.

☐    Subunit 6.1: 2 hours

☐    Subunit 6.2: 2 hours

Unit6 Learning Outcomes
Upon successful completion of this unit, the student will be able to:

  • Identify undamped free and force vibrations.
  • Identify viscous damped free and forced vibrations

6.1 Vibrational Motion   6.1.1 Undamped Free Vibration   - Reading: Utah State University: Dr. Urroz’s “Undamped Free Vibration” The Saylor Foundation does not yet have materials for this portion of the course. If you are interested in contributing your content to fill this gap or aware of a resource that could be used here, please submit it here.

[Submit Materials](/contribute/)

6.1.2 Undamped Forced Vibration   - Reading: Utah State University: Dr. Urroz’s “Undamped Forced Vibration” The Saylor Foundation does not yet have materials for this portion of the course. If you are interested in contributing your content to fill this gap or aware of a resource that could be used here, please submit it here.

[Submit Materials](/contribute/)

6.1.3 Viscous Damped Free Vibration   - Reading: Utah State University: Dr. Urroz’s “Viscous Damped Free Vibration” The Saylor Foundation does not yet have materials for this portion of the course. If you are interested in contributing your content to fill this gap or aware of a resource that could be used here, please submit it here.

[Submit Materials](/contribute/)

6.1.4 Viscous Damped Forced Vibration   - Reading: Utah State University: Dr. Urroz’s “Viscous Damped Forced Vibration” The Saylor Foundation does not yet have materials for this portion of the course. If you are interested in contributing your content to fill this gap or aware of a resource that could be used here, please submit it here.

[Submit Materials](/contribute/)

6.2 Example Problems of Vibrational Motion   6.2.1 Example Problems of Free Vibration   - Reading: Brown University: Dr. A. F. Bower’s “Free Vibration” Link: Brown University: Dr. A. F. Bower’s “Free Vibration” (HTML)
 
Instructions: The problems in this subunit will help you apply principles learned in free vibration of rigid bodies under the application of frictional or non-frictional forces (viscous and non-viscous frictional forces).  Scroll down about 2/3 of the webpage until you reach Example 1.  Please read through “Example 1,” “Example 2,” and “Example 3.”
Terms of Use: Please respect the copyright and terms of use displayed on the webpage above.

6.2.2 Example Problems of Forced Vibration   - Reading: Brown University: Dr. A. F. Bower’s “Forced Vibration” Link: Brown University: Dr. A. F. Bower’s “Forced Vibration” (HTML)
 
Instructions: The problems in this subunit will help you apply principles learned in forced vibration of rigid bodies under the application of frictional or non-frictional forces (viscous and non-viscous frictional forces).  Please scroll down almost to the bottom of the webpage until you reach the heading “5.4.7 Example Problems in Forced Vibrations,” and read “Example 1,” “Example 2,” and “Example 3.”
 
Terms of Use: Please respect the copyright and terms of use displayed on the webpage above.