I with the free vibration of bar problem

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SUMMARY

The discussion focuses on solving the free vibration problem of a bar supported by a spring and a viscous damper. Key tasks include deriving the equation of motion, calculating the moment of inertia of the bar, and determining the natural frequency when the damping coefficient (d) is zero. Participants emphasize the importance of showing attempts at solutions to adhere to forum guidelines. The discussion highlights the need for clarity in problem-solving approaches in mechanical vibrations.

PREREQUISITES
  • Understanding of mechanical vibrations
  • Knowledge of spring and damper systems
  • Familiarity with equations of motion
  • Ability to calculate moment of inertia
NEXT STEPS
  • Study the derivation of equations of motion in mechanical systems
  • Learn about calculating moment of inertia for various shapes
  • Research natural frequency analysis in damped systems
  • Explore the effects of damping on vibration characteristics
USEFUL FOR

Mechanical engineering students, researchers in dynamics, and professionals involved in vibration analysis and control systems will benefit from this discussion.

alexr
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Homework Statement


Find the free vibration of the bar supported by a spring and a viscous damper (See attached figure)

Homework Equations


(a)Derive the equation of motion (b) Obtain the moment of inertia of bar (c) obtain natural frequency when d=0.

The Attempt at a Solution

 

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According to the rules of the forum, you have to show your attempt at a solution.
 
arpon said:
According to the rules of the forum, you have to show your attempt at a solution.
Ok,
I just joined so did not knew of the rules. I will try to upload my solution soon.

Thanks
Alex
 

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