Challenge

Frequency Analysis of a rotating shaft

FREQUENCY ANALYSIS

Rotating shaft - a revolving rod that transmits power or motion. shaft. camshaft - has cams attached to it. crankshaft - a rotating shaft driven by (or driving) a crank. driveshaft - a rotating shaft that transmits power from the engine to the point of application

AIM:

To perform the Frequency analysis by creating a model provided to find out 5 mode shapes using simulation in solidworks.

OBJECTIVE:

  • To find out the critical frequencies of a rotating shaft in solidworks.
  • To find out 5 mode shapes of the shaft and to list out the resonant frequencies.

PROCEDURE:

To create a model of a rotating shaft in solidworks. The dimensions used are as follows:

stepped shafts== diameter 50mm extrude 75mm

rotating plate == diameter 300mm extrude 30mm

shafts== diameter 80mm extrude 1000mm(midplane)

Material Properties

Model Reference

Properties

Components

Name:

Alloy Steel

Model type:

Linear Elastic Isotropic

Default failure criterion:

Max von Mises Stress

Yield strength:

6.20422e+08 N/m^2

Tensile strength:

7.23826e+08 N/m^2

Mass density:

7700 kg/m^3

Elastic modulus:

2.1e+11 N/m^2

Poisson's ratio:

0.28

Thermal expansion coefficient:

1.3e-05 /Kelvin

SolidBody 1(Boss-Extrude4)(rotating shaft)

Curve Data:N/A

Loads and Fixtures

Fixture name

Fixture Image

Fixture Details

Fixed-1

Entities:

2 face(s)

Type:

Fixed Geometry

Mesh information

Mesh type

Solid Mesh

Mesher Used:

Standard mesh

Automatic Transition:

Off

Include Mesh Auto Loops:

Off

Jacobian points

4 Points

Element Size

16.2929 mm

Tolerance

0.814647 mm

Mesh Quality Plot

High

Mesh information - Details

Total Nodes

45149

Total Elements

29810

Maximum Aspect Ratio

5.021

% of elements with Aspect Ratio < 3

99.8

% of elements with Aspect Ratio > 10

0

% of distorted elements(Jacobian)

0

Time to complete mesh(hh;mm;ss):

00:00:05

Computer name:

Study Results

Name

Type

Min

Max

Amplitude1

AMPRES: Resultant Amplitude Plot for Mode Shape: 1(Value = 414.538 Hz)

0.000e+00

Node: 1

1.155e-01

Node: 1556

rotating shaft-freqeuncy analysis-Amplitude-Amplitude1

Name

Type

Min

Max

Amplitude2

AMPRES: Resultant Amplitude Plot for Mode Shape: 2(Value = 414.904 Hz)

0.000e+00

Node: 1

1.155e-01

Node: 1591

rotating shaft-freqeuncy analysis-Amplitude-Amplitude2

Name

Type

Min

Max

Amplitude3

AMPRES: Resultant Amplitude Plot for Mode Shape: 3(Value = 997.787 Hz)

0.000e+00

Node: 1

2.535e-01

Node: 1494

rotating shaft-freqeuncy analysis-Amplitude-Amplitude3

Name

Type

Min

Max

Amplitude4

AMPRES: Resultant Amplitude Plot for Mode Shape: 4(Value = 1233.41 Hz)

0.000e+00

Node: 1

1.320e-01

Node: 35031

rotating shaft-freqeuncy analysis-Amplitude-Amplitude4

Name

Type

Min

Max

Amplitude5

AMPRES: Resultant Amplitude Plot for Mode Shape: 5(Value = 1234.08 Hz)

0.000e+00

Node: 1

1.322e-01

Node: 34454

rotating shaft-freqeuncy analysis-Amplitude-Amplitude5

Mode List

Frequency Number

Rad/sec

Hertz

Seconds

1

2604.6

414.54

0.0024123

2

2606.9

414.9

0.0024102

3

6269.3

997.79

0.0010022

4

7749.7

1233.4

0.00081076

5

7754

1234.1

0.00081032

Mass Participation (Normalized)

Mode Number

Frequency(Hertz)

X direction

Y direction

Z direction

1

414.54

0.18282

0.57347

3.2344e-08

2

414.9

0.57331

0.18279

5.8656e-08

3

997.79

3.6846e-09

1.1586e-08

3.1025e-09

4

1233.4

7.9299e-08

1.0442e-08

2.7008e-08

5

1234.1

1.2013e-09

4.6227e-08

1.1006e-06

Sum X = 0.75613

Sum Y = 0.75626

Sum Z = 1.2217e-06

CONCLUSION:

The vibration frequency is more at 1234 hertzhence it is adviseable to design a shaft at this frequency

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