MECHANICAL VIBRATIONS

What is Damped Forced Vibrations?

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

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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