Dynamic is based on the whirling of

Dynamic System Modelling and Control Unit code: ENEM14015

 

Term 3, 2017

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Laboratory Workbook-3

 

Whirling of shaft

 

Student Name: HIMANSHU

Student ID: 12061957

 

Week
of Submission: Week-8

 

Date
of Submission: 13/1/2018

 

 

 

School
of Engineering and Technology

Central
Queensland University

 

 

 

Executive summary: This lab report
is based on the whirling of shaft to observe the resonance condition. This
experiment will manifest the first, second and third whirling vibrations modes.
The first whirl speed is placed at the mid-span and can be determined by the
whirl speed equations.

 

Results
:

 

Table
1 : Results

 

Shaft

Whirl mode

Measured Speed
(rpm),

Theory
Calculations(rpm)

3mm x 800mm
(baring seperation)

1

912

575

 

2

2955

2290

 

3

5237

5142.5

6mm x 800mm
(baring seperation)

1

1433

1163

 

2

4490

4575

3mm x 450mm
(baring seperation)
 
(use 600mm long
shaft)

1

2115

2273.2

6mm x 450mm
(baring seperation)
 
(use 600mm long
shaft)

1(no mass)

3320

3670

 

1(additional 1kg
Mass at midpoint)

885

800

 

 

 

 

All
formulas used in this experiment

For first whirl mode

  (Hz)                             (rpm)

For second whirl mode

  (Hz)                         (rpm)

For third whirl mode

  (Hz)                    (rpm)

 

 

                                           

E = young’s
modulus                         

 weight per unit length (N/m)

 

Mass = Density *Volume

=
*    (given)

=

 

Then weight multiply by
centre of gravity(g)

 

 

Now
weight per unit length   

 

Calculations

For diameter = 3mm, L = 800mm (bearing suspension)

 =

N1 = 570 rpm

 

N2 = 2280 rpm

 

N3 = 5145.5
rpm

 

For diameter = 3mm, L = 450mm

 

N1 = 1785 rpm

 

For diameter = 6mm, L = 800mm

N1 = 1140 rpm

N2 = 4575 rpm

For diameter = 6mm, L = 450mm as per the formula we get

N1 = 3610 rpm

Discussion:
   In this experiment we used whirling shaft test
unit GUNT TM625 and other various accessories is used. In the above
calculations we measured speed and theory calculations for all the whirl modes
with various lengths and diameters. It found that there is not much difference
in the both the measured and theoretical calculations. The speed of the
whirling shows increases and decreases with different length and diameters.

Conclusion:   This lab report
gives the experimental results for the laboratory with different three types of
whirl modes. 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 Dynamic System Modelling and Control Unit code: ENEM14015

 

Term 3, 2017

 

Laboratory Workbook-3

 

Whirling of shaft

 

Student Name: HIMANSHU

Student ID: 12061957

 

Week
of Submission: Week-8

 

Date
of Submission: 13/1/2018

 

 

 

School
of Engineering and Technology

Central
Queensland University

 

 

 

Executive summary: This lab report
is based on the whirling of shaft to observe the resonance condition. This
experiment will manifest the first, second and third whirling vibrations modes.
The first whirl speed is placed at the mid-span and can be determined by the
whirl speed equations.

 

Results
:

 

Table
1 : Results

 

Shaft

Whirl mode

Measured Speed
(rpm),

Theory
Calculations(rpm)

3mm x 800mm
(baring seperation)

1

912

575

 

2

2955

2290

 

3

5237

5142.5

6mm x 800mm
(baring seperation)

1

1433

1163

 

2

4490

4575

3mm x 450mm
(baring seperation)
 
(use 600mm long
shaft)

1

2115

2273.2

6mm x 450mm
(baring seperation)
 
(use 600mm long
shaft)

1(no mass)

3320

3670

 

1(additional 1kg
Mass at midpoint)

885

800

 

 

 

 

All
formulas used in this experiment

For first whirl mode

  (Hz)                             (rpm)

For second whirl mode

  (Hz)                         (rpm)

For third whirl mode

  (Hz)                    (rpm)

 

 

                                           

E = young’s
modulus                         

 weight per unit length (N/m)

 

Mass = Density *Volume

=
*    (given)

=

 

Then weight multiply by
centre of gravity(g)

 

 

Now
weight per unit length   

 

Calculations

For diameter = 3mm, L = 800mm (bearing suspension)

 =

N1 = 570 rpm

 

N2 = 2280 rpm

 

N3 = 5145.5
rpm

 

For diameter = 3mm, L = 450mm

 

N1 = 1785 rpm

 

For diameter = 6mm, L = 800mm

N1 = 1140 rpm

N2 = 4575 rpm

For diameter = 6mm, L = 450mm as per the formula we get

N1 = 3610 rpm

Discussion:
   In this experiment we used whirling shaft test
unit GUNT TM625 and other various accessories is used. In the above
calculations we measured speed and theory calculations for all the whirl modes
with various lengths and diameters. It found that there is not much difference
in the both the measured and theoretical calculations. The speed of the
whirling shows increases and decreases with different length and diameters.

Conclusion:   This lab report
gives the experimental results for the laboratory with different three types of
whirl modes.