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H H 2H i. What are the 3 modes? Why are only 2 of the 3 modes important?

H H 2H i. What are the 3 modes? Why are only 2 of the 3 modes important?

Automotive Technology: A Systems Approach (MindTap Course List)
Automotive Technology: A Systems Approach (MindTap Course List)
6th Edition
ISBN:9781133612315
Author:Jack Erjavec, Rob Thompson
Publisher:Jack Erjavec, Rob Thompson
Chapter22: Basics Of Electronics And Computer Systems
Section: Chapter Questions
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H H 2H i. What are the 3 modes? Why are only 2 of the 3 modes important?
Transcribed Image Text:H H 2H i. What are the 3 modes? Why are only 2 of the 3 modes important?
Expert Solution
Step 1

The bifilar suspension is an engineering methodology that is used to measure the moment of inertia of any object about any point within the object. In this methodology, we suspend the object with the help of two strings of equal lengths.  It gives an accurate measurement of the moment of inertia. This system has three modes when it swings. Each of these three modes is linearly independent of each other, but the nonlinear coupling can exist between any of the two modes because of their internal resonances.

Step 2

The three modes of bifilar suspension are as follows:

  1. When the bar swings in the plane of strings then the swinging of this pendulum is described as mode 1. This mode has the softening as a simple pendulum.
  2. The swinging in a vertical plane is described as mode 2. In this mode, the bar swings in a plane perpendicular to the position of the bar. This mode has both softening and hardening depending upon the moment of inertia.
  3. In mode 3, the bar swings make torsional oscillation about the vertical axis. This mode also shows both softening and hardening depending upon the moment of inertia.
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