MECHANICAL VIBRATIONS

What is Damped Forced Vibrations?

If the external force(i.e mass)is acted upon the system,then the system undergoes vibratory motion and thus called as Forced Vibration on the System.In this article I am going to publish about What is Damped Forced Vibrations in a detailed manner.

What is Damped Forced Vibrations?
What is Damped Forced Vibrations?

Explanation:

  •  If the damper is induced within the construction along with the external force acting on the system,then the system is called Damped Forced Vibrations.
  • If the damper is induced within the construction with no applied force on the system,then the system is called Damped Free Vibrations.
  • The forced vibration is represented as Fcoswt or Fsinwt.
  • The equation of motion is represented in the video which is shown below.
  • As soon as the hormonic force is applied there will be a transient response coupled with the forced response.The transient part is the one which dies out after sometime.
  • Hence neglecting the transient response,we have

              x = Asinwt +Bcoswt

it can also be written as x=Xsin(wt-(fi))

You can also read:

The frequency response plot is described briefly in the PPT shown below.

The PPT shown below illustrates Damped Forced Vibrations Completely.

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