Vibration Problem with Fixed End Beam and Unbalanced Motor | Homework Help

  • Thread starter bikramjit das
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    Vibration
In summary, there is a fixed end beam carrying an unbalanced motor that causes the beam to vibrate at the same frequency as the motor's speed. A small mass on the beam also vibrates with the beam and can lose contact and "dance" when the motor speed is between 120-150rpm. The task is to determine the amplitude of vibration at those speeds and calculate the natural frequency of the system, which can be assumed as the same as the motor speed.
  • #1
bikramjit das
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vibration problem!

Homework Statement



Question:There is a fixed end beam PQ. It is carrying a motor M. The motor is unbalanced and when the motor is rotating ,it is making the beam to vibrate with a frequency equal to the speed of the motor. A small mass is kept at point A just above the motor on the beam. it also goes up & down along with the beam . When the motor speed is 120 - 150rpm, the object at A is loosing contact with the beam & is actually dancing on the beam. Determine the amplitude of vibration when the speed of motor is 120 rpm and when 150 rpm . Then calculate the natural frequency of the system.

|---------------------M--------------------|

data may be suitably assumed.


Homework Equations



can't get any of them

The Attempt at a Solution



This is a base excitation problem. but the natural frequency is diff. to find. pls help
 

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  • #2


bikramjit das said:
The motor is unbalanced and when the motor is rotating ,it is making the beam to vibrate with a frequency equal to the speed of the motor

which speed are we talking about here?
 
  • #3


@cupid: u can assume the speed of motor as N. This is equal to the frequency of vibration of beam (base).
 
  • #4


i mean ... are we talking about angular speed?
 
  • #5


yeah, angular speed...pls solve it quickly, grave need
 
  • #6


heyy...some one help me out with this question
 

1. What is a vibration problem?

A vibration problem refers to an issue where a structure or system experiences excessive oscillations or movements due to external forces or internal dynamics. This can lead to discomfort, damage, or failure of the structure or system.

2. What causes vibration problems?

Vibration problems can be caused by a variety of factors, including external forces such as wind, earthquakes, or machinery vibrations, as well as internal factors such as resonance, imbalances, or mechanical defects.

3. How can vibration problems be prevented?

Vibration problems can be prevented by considering the design and construction of a structure or system with vibration in mind. This can include using materials with appropriate stiffness and damping properties, avoiding resonant frequencies, and implementing measures such as bracing, isolation, and dampers.

4. What are the potential consequences of vibration problems?

The consequences of vibration problems can range from minor discomfort to catastrophic failure. In some cases, excessive vibrations can cause structural damage, reduce the lifespan of equipment, or lead to safety hazards.

5. How are vibration problems diagnosed and addressed?

Vibration problems can be diagnosed through various techniques such as measurements, simulations, and visual inspections. Once the root cause is identified, solutions can be implemented such as structural modifications, adding damping materials, or adjusting operating conditions to mitigate the vibrations.

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