Analysis of a flywheel
Aim:
- To design a flywheel with appropriate dimensions using solidworks.
- To run the frequency simulation.
- To tabulate the frequency for each node.
Introduction:
Frequency is the number of occurrences of a repeating event per unit of time. Frequency is measured in units of hertz (Hz) which is equal to one occurrence of a repeating event per second. The period is the duration of time of one cycle in a repeating event, so the period is the reciprocal of the frequency.
When the applied frequenccy becomes equal to or greater than the natural frequency then the objet tends to vibrate greater. This phenomenon is called as resonance.
The mode is not affected by extreme values. The mode is easy to identify in a data set and in a discrete frequency distribution. The mode is useful for qualitative data.
Here the frequency analysis is carried out in a fly wheel setup. Flywheel is the mechanical device which is used to store the energy in it.
Experimental setup:
- 3d model of the flywheel is designed.
- New simulation project is created for the frequency study.
- Fine mesh is generated.
- Both the stepped ends of the flywheel is having a bearing.
- Then the simulation allowed to run.
- Thus the five values of frequency is obtained.
3d model:
Model Information
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Model name: Part1
Current Configuration: Default
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Solid Bodies
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Document Name and Reference
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Treated As
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Volumetric Properties
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Document Path/Date Modified
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Revolve2
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Solid Body
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Mass:22.6905 kg
Volume:0.00294681 m^3
Density:7700 kg/m^3
Weight:222.367 N
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Study Properties
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Study name
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Frequency 1
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Analysis type
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Frequency
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Mesh type
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Solid Mesh
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Number of frequencies
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5
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Solver type
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FFEPlus
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Soft Spring:
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Off
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Incompatible bonding options
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Automatic
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Thermal option
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Include temperature loads
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Zero strain temperature
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298 Kelvin
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Include fluid pressure effects from SOLIDWORKS Flow Simulation
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Off
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Result folder
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SOLIDWORKS document
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Units
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Unit system:
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SI (MKS)
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Length/Displacement
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mm
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Temperature
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Kelvin
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Angular velocity
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Rad/sec
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Pressure/Stress
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N/m^2
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Material Properties
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Model Reference
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Properties
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Components
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Name:
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Alloy Steel
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Model type:
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Linear Elastic Isotropic
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Default failure criterion:
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Max von Mises Stress
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Yield strength:
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6.20422e+08 N/m^2
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Tensile strength:
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7.23826e+08 N/m^2
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Mass density:
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7700 kg/m^3
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Elastic modulus:
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2.1e+11 N/m^2
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Poisson's ratio:
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0.28
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Thermal expansion coefficient:
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1.3e-05 /Kelvin
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SolidBody 1(Revolve2)(Part1)
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Curve Data:N/A
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Connector Definitions
Bearing Connector
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Model Reference
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Connector Details
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Strength Details
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Bearing Support-1
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Entities:
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1 face(s)
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Type:
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Bearing
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No Data
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Connector ForcesNo Data
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Bearing Support-2
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Entities:
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1 face(s)
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Type:
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Bearing
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No Data
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Connector ForcesNo Data
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Mesh information
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Mesh type
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Solid Mesh
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Mesher Used:
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Standard mesh
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Automatic Transition:
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Off
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Include Mesh Auto Loops:
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Off
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Jacobian points
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4 Points
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Element Size
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8.60372 mm
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Tolerance
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0.430186 mm
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Mesh Quality Plot
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High
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Mesh information - Details
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Total Nodes
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45693
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Total Elements
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30124
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Maximum Aspect Ratio
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3.418
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% of elements with Aspect Ratio < 3
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99.9
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% of elements with Aspect Ratio > 10
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0
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% of distorted elements(Jacobian)
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0
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Time to complete mesh(hh;mm;ss):
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00:00:03
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Computer name:
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Study Results
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Name
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Type
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Min
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Max
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Amplitude1
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AMPRES: Resultant Amplitude Plot for Mode Shape: 1(Value = 0.0146429 Hz)
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9.060e-04
Node: 11093
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4.987e-01
Node: 582
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Part1-Frequency 1-Amplitude-Amplitude1
Animation:
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Name
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Type
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Min
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Max
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Amplitude2
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AMPRES: Resultant Amplitude Plot for Mode Shape: 2(Value = 583.048 Hz)
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4.454e-04
Node: 5451
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2.660e-01
Node: 40821
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Part1-Frequency 1-Amplitude-Amplitude2
Animation:
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Name
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Type
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Min
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Max
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Amplitude3
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AMPRES: Resultant Amplitude Plot for Mode Shape: 3(Value = 583.063 Hz)
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5.715e-04
Node: 45559
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2.660e-01
Node: 686
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Part1-Frequency 1-Amplitude-Amplitude3
animation:
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Name
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Type
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Min
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Max
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Amplitude4
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AMPRES: Resultant Amplitude Plot for Mode Shape: 4(Value = 1966.09 Hz)
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6.174e-04
Node: 15361
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7.862e-01
Node: 685
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Part1-Frequency 1-Amplitude-Amplitude4
Animation:
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Name
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Type
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Min
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Max
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Amplitude5
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AMPRES: Resultant Amplitude Plot for Mode Shape: 5(Value = 1966.35 Hz)
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2.779e-04
Node: 2045
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7.863e-01
Node: 591
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Part1-Frequency 1-Amplitude-Amplitude5
Animation:
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Mode List
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Frequency Number
(model number)
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Rad/sec
(frequency)
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Hertz
(frequency)
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Seconds
(period)
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1
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0.092004
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0.014643
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68.292
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2
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3663.4
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583.05
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0.0017151
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3
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3663.5
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583.06
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0.0017151
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4
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12353
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1966.1
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0.00050862
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5
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12355
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1966.3
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0.00050856
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Mass Participation (Normalized)
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Mode Number
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Frequency(Hertz)
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X direction
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Y direction
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Z direction
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1
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0.014643
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7.7295e-13
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1.3116e-35
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3.0532e-12
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2
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583.05
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0.74994
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9.51e-10
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0.10018
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3
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583.06
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0.10019
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3.7372e-10
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0.74989
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4
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1966.1
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1.156e-09
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9.1214e-08
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3.905e-09
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5
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1966.3
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9.1087e-11
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5.5193e-07
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9.2004e-09
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Sum X = 0.85012
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Sum Y = 6.4447e-07
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Sum Z = 0.85007
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Observations:
- Solidworks automatically runs the simulation and plots the result for five different freguency.
- For each frequecny the flywheel tends to vibrates at different direction and at differernt axis.
- for every frequency the maximum amplitiude is reported at the disc part.
Conclusion:
- 3d model of the flywheel is designed using solidwoks with appropraite dimensions.
- Frequeny analysis is carried out.
- 5 different mode is obtained and each is tabulated.
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