Consider the following statements about determining the natural frequency of a shaft carrying several loads. Identify the correct option. 

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HPCL Engineer Mechanical 04 Nov 2022 Official Paper (Shift 2)
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  1. Dunkerley's method is semi-empirical and simple. 
  2. Dunkerley's method provides accurate results. 
  3. The energy method involves fewer calculations in comparison to Dunkerley's method. 
  4. The energy method provides approximate results. 

Answer (Detailed Solution Below)

Option 1 : Dunkerley's method is semi-empirical and simple. 
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Detailed Solution

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Explanation:

Concept:

To calculate the natural frequency of a shaft carrying several loads, there are two methods:

  1. Dunkerley's method
  2. Energy method

Dunkerley's method:

  • Dunkerley's method is a semi-empirical and simple method to find the natural frequency of the shaft having several loads.
  • It gives approximate results.

Energy method: 

  • This method is also known as Rayleigh's energy method, which is based on the principle of energy conservation.
  • It gives accurate natural frequency but in the case of several loads, the calculation is difficult.

Thus, option (1) is the correct answer.

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