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A Project presentation on
Characterization of Anticlastic Effect
in Foil Air Bearings
Under the guidance of Mr. V. Ravi
Kumar
Kartik Babu BL.EN.U4MEE09027
Linto P Lalu BL.EN.U4MEE09031
Mohit Jain BL.EN.U4MEE09034
N M Amit BL.EN.U4MEE09035
What is a Bearing?
A bearing is a machine element which supports another moving
machine element (known as journal). It permits a relative motion
between the contact surfaces of the members, while carrying the load.
Introduction to Foil Air Bearings
Foil bearings were first developed in
the late 1950s by AiResearch Mfg. Co.
They were first tested for commercial
use in United Airlines Boeing
727 and Boeing 737 cooling turbines.
Most commonly used for high speed,
high temperature applications.
Advantages
Higher Reliability
No frequent Maintenance
Soft Failure
Environmental Durability
High Speed Operation
High Temperature Capabilities
Process Fluid Operations
Disadvantages
Lower load carrying capacity than roller or oil bearings
Wear during start-up and stopping
High speed required for operation
Wobbling of the rotating element
Concept and Working
When shaft rotates, air pushes the
foil away from the shaft, so there is
no more contact.
The shaft and foil are separated by
the formation of air wedge.
No external pressurization system
required (i.e. Aerodynamic bearings).
Air Wedge Formation
For most fluids, with increase in operational
temperature there is a drop in viscosity.
Viscosity of air increases with increase in
temperature.
Air becomes viscous at the journal - foil
interface, increasing the load carrying
capacity.
Anticlastic Effect
When a plate is subjected to pure bending, the
strains developed in the direction of the load
develops a negative strain in the perpendicular
direction which is proportional to Poisson’s ratio
of the material. This negative strain develops a
bending moment in the direction perpendicular
to that of the applied bending. This bending in
the perpendicular direction to that of the applied
bending is termed as anticlastic effect. This
effects are also observed in beams.
Problem Definition
The foils on the bearing
can be modeled as a
cantilever with a UDL in
the direction perpendicular
to the surface of the
screen.
At high speed operation, the side profile of the foil gets
deformed which causes eccentric rotation of the journal in
the bearing resulting in shaft/journal wobbling.
Pressure Distribution
The anticlastic effect on the bearing foil gets affected by
varying the following parameters:
 Length
 Width
 Thickness
Parameters Effecting Anticlastic Effect
Analytical Simulation
Using the CAE software package ‘Ansys’ the model was simulated in the
following steps:
Preferences
Preprocessor
 Element type
 Material Properties
 Sections
 Modelling
 Meshing
 Loads
Solution
General Post Processor
Ansys Simulated Model
Experimental Setup
Validation of Analytical
Simulation done experimentally.
Apparatus Used:
Rigid support to hold foil
0.45mm thickness Copper sheet
Nylon Thread
1.5Kg weight
Loading Procedure
Validation
Copper foil, 300mm x 75mm x 0.45 mm
Distortion along z axis Distortion along z axis
in mm Experimentally in mm Analytically
-14.69 -13.9401
-15.09 -14.6302
-14.77 -14.9249
-14.58 -14.9999
-14.84 -14.9732
-14.51 -14.9162
-14.46 -14.8676
-14.55 -14.8458
-14.7 -14.857
-14.3 -14.8981
-15.55 -14.9553
-15.26 -14.998
-14.91 -14.967
-14.72 -14.7611
-14.45 -14.2257
-16
-15.5
-15
-14.5
-14
-13.5
-13
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Experimentalvs. Analytical
Length Variation
Length: 180mm
Width: 60mm
Thickness: 0.25mm
Distortion Deflection: 0.9619mm
Length: 300mm
Width: 60mm
Thickness: 0.25mm
Distortion Deflection: 1.5029mm
Inference:
The trend tells that as length approaches width, the max deflection keeps reducing.
Length: 120mm
Width: 60mm
Thickness: 0.25mm
Distortion Deflection: 0.6540mm
Length: 60mm
Width: 60mm
Thickness: 0.25mm
Distortion Deflection: 0.1845mm
Length Vs. Anticlastic Distortion
BeCu, Width 60mm, Thickness 0.25mm
Length in mm Anticlastic Distortion in mm
60 0.1845
90 0.4257
120 0.654
150 0.8318
180 0.9619
240 1.2158
300 1.5029
360 1.8023
0
0.5
1
1.5
2
60 90 120 150 180 240 300 360
Length Vs. Anticlastic Distortion
Width Variation keeping length as 180mm
Width: 30mm
Thickness: 0.25mm
Distortion Deflection: 0.9011mm
Width: 60mm
Thickness: 0.25mm
Distortion Deflection: 0.9619mm
Width: 90mm
Thickness: 0.25mm
Distortion Deflection: 0.9804mm
Width: 150mm
Thickness: 0.25mm
Distortion Deflection: 0.6924mm
Width Vs. Anticlastic Distortion
(Length 180mm)
BeCu, Length 180mm, Thickness 0.25mm
Width in mm Distortion Deflection in mm
30 0.9011
45 0.9122
60 0.9619
75 1.0006
90 0.9804
120 0.8505
150 0.6924
180 0.5529
0
0.2
0.4
0.6
0.8
1
1.2
30 45 60 75 90 120 150 180
Width vs Distortion Deflection
Width: 75mm
Thickness: 0.25mm
Distortion Deflection: 1.2605mm
Width: 45mm
Thickness: 0.25mm
Distortion Deflection: 1.2012mm
Width Variation keeping length as 240mm
Width: 120mm
Thickness: 0.25mm
Distortion Deflection: 1.307mm
Width: 150mm
Thickness: 0.25mm
Distortion Deflection: 1.1845mm
Width Vs. Anticlastic Distortion
(Length 240mm)
BeCu, Length 240mm, Thickness 0.25mm
Width in mm Distortion Deflection in mm
30 1.2022
45 1.2012
60 1.2158
75 1.2605
90 1.3189
120 1.307
150 1.1845
180 1.0267
240 0.7373
0
0.2
0.4
0.6
0.8
1
1.2
1.4
30 45 60 75 90 120 150 180 240
Width Vs. DistortionDeflection
Width Variation keeping length as 300mm
Width: 75mm
Thickness: 0.25mm
Distortion Deflection: 1.5197mm
Width: 30mm
Thickness: 0.25mm
Distortion Deflection: 1.5028mm
Width: 150mm
Thickness: 0.25mm
Distortion Deflection: 1.6337mm
Width: 300mm
Thickness: 0.25mm
Distortion Deflection: 0.9216mm
Width Vs. Anticlastic Distortion
(Length 300mm)
BeCu, Length 300mm, Thickness 0.25mm
Width in mm Distortion Deflection in mm
30 1.5028
45 1.5003
60 1.5029
75 1.5197
90 1.5617
120 1.6629
150 1.6337
180 1.5179
240 1.2044
300 0.9216
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
30 45 60 75 90 120 150 180 240 300
Width Vs. DistortionDeflection
Length/Width Variation
Decreasing Deflection
Increasing Deflection
Decreasing Deflection
Inference
Minimum deflections occur when the width is taken to be
equal to the length, i.e., when it approaches a ‘Square Profile’
Confirming results observed in length variation discussed
previously
Thickness Variation
Thickness: 0.25mm
Length: 240mm
Width: 60mm
Distortion Deflection: 1.2158mm
Thickness: 0.4mm
Length: 240mm
Width: 60mm
Distortion Deflection: 1.2167mm
Thickness: 1mm
Length: 240mm
Width: 60mm
Distortion Deflection: 1.2221mm
Thickness: 2mm
Length: 240mm
Width: 60mm
Distortion Deflection: 1.2325mm
Thickness vs. Anticlastic Distortion
BeCu, Length 240mm, Width 60mm
Thickness in mm Distortion Deflection inmm
0.25 1.2158
0.3 1.2161
0.4 1.2167
0.5 1.2175
1 1.2221
1.5 1.2271
2 1.2325
1.205
1.21
1.215
1.22
1.225
1.23
1.235
0.25 0.3 0.4 0.5 1 1.5 2
Thickness Vs. Distortion Deflection
Alternative Solution
Using multiple bearings in series
Length: 60mm
Width: 60mm
Thickness: 0.25mm
Distortion Deflection: 0.1845mm
Length: 120mm
Width: 60mm
Thickness: 0.25mm
Distortion Deflection: 0.6542mm
Inference
When two separate bearings are utilized, the anti-clastic
deflection reduces drastically
Reduces wobbling of the journal.
Future Scope
 Giving negative anticlastic curvature to the edge of foil plate.
 Conducting fluid flow analysis to analyze the formation of air
wedge.
 Using alternative alloys of superior properties to develop new
generation of foil air bearings
THANK YOU

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PPT FINAL

  • 1. A Project presentation on Characterization of Anticlastic Effect in Foil Air Bearings Under the guidance of Mr. V. Ravi Kumar Kartik Babu BL.EN.U4MEE09027 Linto P Lalu BL.EN.U4MEE09031 Mohit Jain BL.EN.U4MEE09034 N M Amit BL.EN.U4MEE09035
  • 2. What is a Bearing? A bearing is a machine element which supports another moving machine element (known as journal). It permits a relative motion between the contact surfaces of the members, while carrying the load.
  • 3. Introduction to Foil Air Bearings Foil bearings were first developed in the late 1950s by AiResearch Mfg. Co. They were first tested for commercial use in United Airlines Boeing 727 and Boeing 737 cooling turbines. Most commonly used for high speed, high temperature applications.
  • 4. Advantages Higher Reliability No frequent Maintenance Soft Failure Environmental Durability High Speed Operation High Temperature Capabilities Process Fluid Operations
  • 5. Disadvantages Lower load carrying capacity than roller or oil bearings Wear during start-up and stopping High speed required for operation Wobbling of the rotating element
  • 6. Concept and Working When shaft rotates, air pushes the foil away from the shaft, so there is no more contact. The shaft and foil are separated by the formation of air wedge. No external pressurization system required (i.e. Aerodynamic bearings).
  • 7. Air Wedge Formation For most fluids, with increase in operational temperature there is a drop in viscosity. Viscosity of air increases with increase in temperature. Air becomes viscous at the journal - foil interface, increasing the load carrying capacity.
  • 8. Anticlastic Effect When a plate is subjected to pure bending, the strains developed in the direction of the load develops a negative strain in the perpendicular direction which is proportional to Poisson’s ratio of the material. This negative strain develops a bending moment in the direction perpendicular to that of the applied bending. This bending in the perpendicular direction to that of the applied bending is termed as anticlastic effect. This effects are also observed in beams.
  • 9. Problem Definition The foils on the bearing can be modeled as a cantilever with a UDL in the direction perpendicular to the surface of the screen. At high speed operation, the side profile of the foil gets deformed which causes eccentric rotation of the journal in the bearing resulting in shaft/journal wobbling.
  • 11. The anticlastic effect on the bearing foil gets affected by varying the following parameters:  Length  Width  Thickness Parameters Effecting Anticlastic Effect
  • 12. Analytical Simulation Using the CAE software package ‘Ansys’ the model was simulated in the following steps: Preferences Preprocessor  Element type  Material Properties  Sections  Modelling  Meshing  Loads Solution General Post Processor
  • 13.
  • 15. Experimental Setup Validation of Analytical Simulation done experimentally. Apparatus Used: Rigid support to hold foil 0.45mm thickness Copper sheet Nylon Thread 1.5Kg weight
  • 17. Validation Copper foil, 300mm x 75mm x 0.45 mm Distortion along z axis Distortion along z axis in mm Experimentally in mm Analytically -14.69 -13.9401 -15.09 -14.6302 -14.77 -14.9249 -14.58 -14.9999 -14.84 -14.9732 -14.51 -14.9162 -14.46 -14.8676 -14.55 -14.8458 -14.7 -14.857 -14.3 -14.8981 -15.55 -14.9553 -15.26 -14.998 -14.91 -14.967 -14.72 -14.7611 -14.45 -14.2257 -16 -15.5 -15 -14.5 -14 -13.5 -13 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Experimentalvs. Analytical
  • 18. Length Variation Length: 180mm Width: 60mm Thickness: 0.25mm Distortion Deflection: 0.9619mm Length: 300mm Width: 60mm Thickness: 0.25mm Distortion Deflection: 1.5029mm
  • 19. Inference: The trend tells that as length approaches width, the max deflection keeps reducing. Length: 120mm Width: 60mm Thickness: 0.25mm Distortion Deflection: 0.6540mm Length: 60mm Width: 60mm Thickness: 0.25mm Distortion Deflection: 0.1845mm
  • 20. Length Vs. Anticlastic Distortion BeCu, Width 60mm, Thickness 0.25mm Length in mm Anticlastic Distortion in mm 60 0.1845 90 0.4257 120 0.654 150 0.8318 180 0.9619 240 1.2158 300 1.5029 360 1.8023 0 0.5 1 1.5 2 60 90 120 150 180 240 300 360 Length Vs. Anticlastic Distortion
  • 21. Width Variation keeping length as 180mm Width: 30mm Thickness: 0.25mm Distortion Deflection: 0.9011mm Width: 60mm Thickness: 0.25mm Distortion Deflection: 0.9619mm
  • 22. Width: 90mm Thickness: 0.25mm Distortion Deflection: 0.9804mm Width: 150mm Thickness: 0.25mm Distortion Deflection: 0.6924mm
  • 23. Width Vs. Anticlastic Distortion (Length 180mm) BeCu, Length 180mm, Thickness 0.25mm Width in mm Distortion Deflection in mm 30 0.9011 45 0.9122 60 0.9619 75 1.0006 90 0.9804 120 0.8505 150 0.6924 180 0.5529 0 0.2 0.4 0.6 0.8 1 1.2 30 45 60 75 90 120 150 180 Width vs Distortion Deflection
  • 24. Width: 75mm Thickness: 0.25mm Distortion Deflection: 1.2605mm Width: 45mm Thickness: 0.25mm Distortion Deflection: 1.2012mm Width Variation keeping length as 240mm
  • 25. Width: 120mm Thickness: 0.25mm Distortion Deflection: 1.307mm Width: 150mm Thickness: 0.25mm Distortion Deflection: 1.1845mm
  • 26. Width Vs. Anticlastic Distortion (Length 240mm) BeCu, Length 240mm, Thickness 0.25mm Width in mm Distortion Deflection in mm 30 1.2022 45 1.2012 60 1.2158 75 1.2605 90 1.3189 120 1.307 150 1.1845 180 1.0267 240 0.7373 0 0.2 0.4 0.6 0.8 1 1.2 1.4 30 45 60 75 90 120 150 180 240 Width Vs. DistortionDeflection
  • 27. Width Variation keeping length as 300mm Width: 75mm Thickness: 0.25mm Distortion Deflection: 1.5197mm Width: 30mm Thickness: 0.25mm Distortion Deflection: 1.5028mm
  • 28. Width: 150mm Thickness: 0.25mm Distortion Deflection: 1.6337mm Width: 300mm Thickness: 0.25mm Distortion Deflection: 0.9216mm
  • 29. Width Vs. Anticlastic Distortion (Length 300mm) BeCu, Length 300mm, Thickness 0.25mm Width in mm Distortion Deflection in mm 30 1.5028 45 1.5003 60 1.5029 75 1.5197 90 1.5617 120 1.6629 150 1.6337 180 1.5179 240 1.2044 300 0.9216 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 30 45 60 75 90 120 150 180 240 300 Width Vs. DistortionDeflection
  • 31. Inference Minimum deflections occur when the width is taken to be equal to the length, i.e., when it approaches a ‘Square Profile’ Confirming results observed in length variation discussed previously
  • 32. Thickness Variation Thickness: 0.25mm Length: 240mm Width: 60mm Distortion Deflection: 1.2158mm Thickness: 0.4mm Length: 240mm Width: 60mm Distortion Deflection: 1.2167mm
  • 33. Thickness: 1mm Length: 240mm Width: 60mm Distortion Deflection: 1.2221mm Thickness: 2mm Length: 240mm Width: 60mm Distortion Deflection: 1.2325mm
  • 34. Thickness vs. Anticlastic Distortion BeCu, Length 240mm, Width 60mm Thickness in mm Distortion Deflection inmm 0.25 1.2158 0.3 1.2161 0.4 1.2167 0.5 1.2175 1 1.2221 1.5 1.2271 2 1.2325 1.205 1.21 1.215 1.22 1.225 1.23 1.235 0.25 0.3 0.4 0.5 1 1.5 2 Thickness Vs. Distortion Deflection
  • 36. Length: 60mm Width: 60mm Thickness: 0.25mm Distortion Deflection: 0.1845mm Length: 120mm Width: 60mm Thickness: 0.25mm Distortion Deflection: 0.6542mm
  • 37. Inference When two separate bearings are utilized, the anti-clastic deflection reduces drastically Reduces wobbling of the journal.
  • 38. Future Scope  Giving negative anticlastic curvature to the edge of foil plate.  Conducting fluid flow analysis to analyze the formation of air wedge.  Using alternative alloys of superior properties to develop new generation of foil air bearings