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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 10 | Oct 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 129
Design and Fabrication of Eddy Current Damper
Dinoy Augusty1, Renju Jose2, Rushikesh Rajale3
1Dinoy, Dept. of Mechanical Engineering, Fr. C. Rodrigues Institute of Technology, Vashi, Maharashtra, India
2Renju Jose, Dept. of Mechanical Engineering, Fr. C. Rodrigues Institute of Technology, Vashi, Maharashtra, India
3Rushikesh, Dept. of Mechanical Engineering, Fr. C. Rodrigues Institute of Technology, Vashi, Maharashtra, India
----------------------------------------------------------------------***---------------------------------------------------------------------
Abstract - ECD is Eddy current damper used to restrict
motion via Eddy current damping. It reports an improved
method that assures less maintenance, eco-friendliness and
also contributing in heavy load applications. In this, eddy
current loops are generated and energy is dissipated, thus
producing a damping effect. This setup will make use of oil as
the working fluid for amplification of thevelocityofpistonand
the cylinder arrangement. A Copper cylinder is included in the
setup to generate eddy current when it is passed through
magnetic field which is generated by permanent magnets.
Damping force will be observed at double acting cylinder.
Tubes are equipped to connect double acting cylinder to
another double acting cylinder which carries the Copper
cylinder. In this way a more economical damping system with
variable damping ratio can be achieved. Problems arising like
fixed damping constant and frequent change of oil can be
tackled. Damping can be easily varied thus making it a high
performance damper.
Key Words: ECD, double acting, damping ratio, heavy load
applications, high performance
1. INTRODUCTION
Eddy currents are electric currents induced in a conductor
when it is exposed to a changing magnetic field either due to
the relative motion of the field source and conductor or due
to the variations of field with time. These eddy currents
circulate inside the body of the conductor which induce
magnetic field of polarity opposite to the applied magnetic
field [7]. Due to the internal resistance of the conductive
material, eddy currents will dissipate kinetic energy into
heat and energy will be removed fromthesystem,producing
a damping effect [7]. By using theconceptof eddycurrent for
damping purposes majority of research in eddy current
damping has taken place [6].
Fig -1: Schematic of conductive material passing through a
magnetic field and the generation of eddy currents [8].
2. AIM AND OBJECTIVES
2.1 Aim
The aim of the project is to designandfabricateeddy
current damper.
2.2 Objectives
The objectives that are inevitable and essential for
completing our study of Eddycurrent damper are as follows:
 To calculate magnetic flux and eddy current
damping force.
 To design high performance damper and to vary the
damping easily.
3. PROBLEM DEFINITION
To design and fabricate an eddy current damper with the
following specifications:
 Variable damping constant.
 High Reliability.
 High Thermal Stability.
4. SIMULATIONS PERFORMED
Simulation is the imitation of any real world
phenomenon by developing a model, applying real world
condition. The aim of the performed simulations is to
determine the magnetic flux and eddy current damping
force.
4.1 Quickfield Student
The geometry drawing is made in axisymmetric
mode. Two nearby magnets brown in color are separated by
a spacer and their poles are arranged in opposite direction.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 10 | Oct 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 130
Fig -2: Geometry of magnet and spacer arrangement
Meshing of geometry is done in thisstep. Thecircles
represent the size of mesh at that point.
Fig -3: Meshing of geometry
Plot of magnetic field lines and magnet flux density is
determined.
Fig -4: Plot showing magnetic field lines and magnetic flux
density
Variation of magnetic flux density along the axial
line between the outside cylinder and magnet and spacer is
determined.
Fig -5: Plot of magnetic flux density along the axial line
Final results are obtained and average is calculated
to find the average flux density.
Fig -6: Magnetic flux density values
4.2 Comsol Multiphysics
The solution obtained for magnetic flux density are
shown and compared with Quickfield Student.
The geometry drawing is done in axisymmetric
mode. The geometry of magnet and spacer arrangementand
copper tube is made.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 10 | Oct 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 131
Fig -7: Geometry of the model
Meshing of geometry is done. The pattern made
represent the size of mesh at that point.
Fig -8: Meshing of the model
The results of eddy current damper simulation are
obtained. These results are obtained inordertocomparethe
same with the experimental values. Plot showing magnetic
flux density in Tesla is obtained for the geometry made.
Fig -9: Plot showing Magnetic flux density
Eddy current induced in copper tube due to moving
magnet is obtained as simulation results. Plot showing
current density in Ampere per meter square is obtained for
the geometry made.
Fig -10: Plot showing current density
Lorentz force is induced in magnet due to eddy
current formed in copper tube. Plot of Lorentz force in
Newton versus Time in second is obtained. From this graph
it is observed that the force reaches 450 N and returns to its
initial value. This same curve is repeated at certain time
intervals.
Fig -11: Plot of Lorentz force v/s time
Acceleration of falling magnet reduces as eddy
current formed oppose the motion of magnet. Plot of
magnetic acceleration in meter per square second versus
time in second is obtained. From this graph it is observed
that it reaches -350 m/s2 and returns to the initial value.
This same curve is repeated at certain time intervals.
Fig -12: Plot of magnetic acceleration v/s time
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 10 | Oct 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 132
Plot of velocity in meter per second versus time in
second is obtained. From this graph it is observed that its
velocity reaches 6 m/s and returns to its initial value. This
same curve is repeated at certain time intervals.
Fig -13: Plot of velocity v/s time
5. CONSTRUCTIONS
There are two double acting hydraulic cylinders of diameter
in ratio (D/d=1) as shown in fig. Both the cylinders are
connected by hose pipes. Oil is being used in the cylinder.
The cylinders are kept virtually on a base. There is a magnet
and a spacer arrangement where they are keptalternatively.
The copper is also placed inside the steel casing and is
attaches to the top of the second cylinder.
Fig -14: Schematic diagram of Eddy current damper
Fig -15: Eddy current damper setup
6. WORKING
External force is provided by the mechanical exciter of
variable frequency and damping constant can be
determined. As force is applied on the first cylinder,oil flows
into the second cylinder causing the piston to move upward.
As the piston moves upward the copper cylinder also
reciprocates around the magnet and stator arrangement.
Because of this eddy current is generated and a force
opposite to the direction of movement of the cylinder is
generated because of which damping occurs.
7. RESULT
A table of angular frequency, acceleration, velocityisplotted
for various frequencies.
Following formula are used to obtain the values:
f = frequency (Hz)
ω = angular frequency = 2πf (rad/s)
a = acceleration = ω2R (rad/s2)
v = velocity = Rω (m/s)
Table -1: Angular Frequency, Acceleration and Velocity
for Various Frequencies
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 10 | Oct 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 133
Taking various values from the table, different graph of
Lorentz force v/s time are plotted.
Fig -16: Graphs for Lorentz force v/s Time
It is observed that the Lorentz force varies sinusoidal in
nature. This is because the motion of the magnets is simple
harmonic motion. From the graph we come to know the
value of Lorentz force acting at any particular frequency.
Because of the arrangement of the setup whateverforceacts
on the copper tube two times of that force acts on the upper
plate therefore the graph is plottedwhere wetakemaximum
force instead of mean force. The graph showing force acting
on the upper plate of damper at different operating
frequencies of the setup is shown.
Fig -17: Graph of Force v/s Frequency
From maximum force acting we can calculate damping
constant by the formula C = F/v where, f is obtainedfromthe
graph and v = Rω. The graph is plotted as shown.
Fig -18: Graph of damping constant v/s Frequency
8. CONCLUSION
An Eddy current damper has been designed;novel feature of
this design is incorporation of fluid amplification link to
increase relative velocity between magnet and copper tube.
Fabrication and simulation has been done successfully. The
initial design was modified so as to achieve structural
rigidity and avoid over-damping. The damper was designed
such that it could be tested on the mechanical exciter [23].
Because of the values obtained in theoretical calculation,
double acting hydraulic cylinder with higher operating
pressure was procured and by testing the damper led to
complications in requirement of mass for the working of
spring-mass damper system. Hence the results obtained by
the simulation couldn’t be verified by testing the damper.
The simulation of magnetic flux density was carried out in
Quickfield Student and was later compared with the
simulation done on COMSOL Multiphysics. The result
obtained showed almost similar values. The result for
various damping constant can be easily inferred through
damping constant v/s frequency graph.
ACKNOWLEDGEMENT
A sincere gratitude to project guide Mr. Girish Dalvi and
also, valuable inputs from Prof. Dr. Nitin Satpute. A very
heartfelt thanks to the college for support and guidance
provided.
REFERENCES
[1] Y. Kligerman, A. Grushkevich, M.S. Darlow, A.
Zuckerberger, 1995, “Analysis and experimental
evaluation of inherent instability in electromagnetic
eddy-current dampers intended for reducing lateral
vibration of rotating machinery,”15th Biennial
Conference on Vibration and Noise, Boston, MA, : pp.
1301–1309.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 10 | Oct 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 134
[2] Craik D, 1995, “Magnetism, principles and applications,”
Wiley, New York: pp. 334–336.
[3] H. Teshima, M. Tanaka, K. Miyamoto, K. Nohguchi, K.
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vibrational properties in superconducting levitation
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[4] Hahn, K. D., Johnson, E. M., Brokken, A., and Baldwin, S.,
1998, “Eddy Current Damping of a Magnet Moving
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[5] Furlani EP, 2001, “Permanent magnet and
electromechanical devices, materials, analysis and
applications,” Academic Press, London, pp. 126–130.
[6] K. Kwak, M.I. Lee, S. Heo, 2003, “Vibration suppression
using eddy current damper,” Korean Society for Noise
and Vibration Engineering 13 (10): pp. 760–766.
[7] H.A. Sodano, J.S. Bae, 2004, “Eddy current damping in
structures,” Shock and Vibration Digest 36 (6): pp. 469–
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[8] Sodano, H.A., Bae, J.S., Inman, D.J. and Belvin, W.K., 2005,
“Concept and Model of Eddy Current Damper for
Vibration Suppression of a Beam,” Journal of Sound and
Vibration, Vol. 288, pp. 1177-1196.
[9] J.S. Bae, M.K. Kwak, D.J. Inman, 2005, “Vibration
suppression of cantilever beam using eddy current
damper,” Journal of Sound and Vibration 284 (3–5): pp.
805–824.
[10] H.A. Sodano, J.S. Bae, D.J. Inman, W.K. Belvin, 2006,
“Improved concept and model of eddy currentdamper,”
Journal of Vibration and Acoustics—Transactionsofthe
ASME 128: pp. 295–302.
[11] H.A. Sodano, J.S. Bae, D.J. Inman, W.K. Belvin, 2006, “
Modeling and application of passive eddy current
damper for the suppression of membrane vibrations,”
AIAA Journal 44 (3): pp. 541–549.
[12] C. Elbuken, M.B. Khamesee, M. Yavuz, 2006, “Eddy
current damping for magnetic levitation: downscaling
from macro to micro-levitation,” Journal of Physics D:
Applied Physics 39: pp. 3932–3938.
[13] Sodano, H.A, Inman, D.J, 2007, “Non-contact vibration
control system employing an active eddy current
damper,” Journal of Sound and Vibration 305, pp. 596–
613.
[14] Elbuken C, Shameli E and Khamesee M B, 2007,
“Modeling and analysis of eddy-current damping for
high-precision magnetic levitation of a small magnet,”
IEEE Trans. Magn. 43: pp. 26–32.
[15] A.Tonoli, 2007, “Dynamic characteristics of eddy
current dampers and couplers,” Journal of Sound and
Vibration 301: pp.576–591.
[16] Ebrahimi B, Khamesee MB, Golnaraghi MF, 2008,
“Design and modeling of a magnetic shock absorber
based on eddy current damping effect,” J SoundVib315:
pp. 875–889.
[17] B. Ebrahimi, M.B. Khamesee, F. Golnaraghi, 2009, “A
novel eddy current damper: theory and experiment,” J.
Phys. D-Appl. Phys. 42 075001 : pp. 1-6.
[18] B. Ebrahimi, M. B. Khamesee, and F. Golnaraghi, 2009,
“Eddy current damper feasibility in automobile
suspension: modeling, simulation and testing,” Smart
Materials and Structures, vol. 18, pp. 1–12.
[19] B. Ebrahimi, M. B. Khamesee, and F. Golnaraghi, 2010,
“Permanent magnet configuration in design of an eddy
current damper,” Microsystem Technologies,vol.16, no.
1-2: pp. 19–24.
[20] Satpute NV, Singh S and Sawant SM, 2014, “Energy
harvesting shock absorber with electromagnetic and
fluid damping,” Adv Mech Eng: pp. 1–14.
[21] Chen C, 2014, “Simulation, design and experimental
validation of a passive magnetic damper for ultra-fast
actuators,”.KTH Royal Institute of Technology Electrical
Engineering, Degree project, in, second level Stockholm,
Sweden.
[22] Satpute NV, Satpute SN and JugulkarLM.,2017,“Hybrid
electromagneticshock absorberfor energyharvestingin
a vehicle suspension,”.Proc IMechE Part C: J Mechanical
Engineering Science, Vol. 231(8): pp.1500–1517.
[23] Pankaj, 2018, “Design And Development OfQuarterCar
Suspension Test Rig Model And It’s Simulation,”
Fr.C.Rodrigues Institute of Technology Mechanical
Engineering, M.E Degree project.

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IRJET- Design and Fabrication of Eddy Current Damper

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 10 | Oct 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 129 Design and Fabrication of Eddy Current Damper Dinoy Augusty1, Renju Jose2, Rushikesh Rajale3 1Dinoy, Dept. of Mechanical Engineering, Fr. C. Rodrigues Institute of Technology, Vashi, Maharashtra, India 2Renju Jose, Dept. of Mechanical Engineering, Fr. C. Rodrigues Institute of Technology, Vashi, Maharashtra, India 3Rushikesh, Dept. of Mechanical Engineering, Fr. C. Rodrigues Institute of Technology, Vashi, Maharashtra, India ----------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - ECD is Eddy current damper used to restrict motion via Eddy current damping. It reports an improved method that assures less maintenance, eco-friendliness and also contributing in heavy load applications. In this, eddy current loops are generated and energy is dissipated, thus producing a damping effect. This setup will make use of oil as the working fluid for amplification of thevelocityofpistonand the cylinder arrangement. A Copper cylinder is included in the setup to generate eddy current when it is passed through magnetic field which is generated by permanent magnets. Damping force will be observed at double acting cylinder. Tubes are equipped to connect double acting cylinder to another double acting cylinder which carries the Copper cylinder. In this way a more economical damping system with variable damping ratio can be achieved. Problems arising like fixed damping constant and frequent change of oil can be tackled. Damping can be easily varied thus making it a high performance damper. Key Words: ECD, double acting, damping ratio, heavy load applications, high performance 1. INTRODUCTION Eddy currents are electric currents induced in a conductor when it is exposed to a changing magnetic field either due to the relative motion of the field source and conductor or due to the variations of field with time. These eddy currents circulate inside the body of the conductor which induce magnetic field of polarity opposite to the applied magnetic field [7]. Due to the internal resistance of the conductive material, eddy currents will dissipate kinetic energy into heat and energy will be removed fromthesystem,producing a damping effect [7]. By using theconceptof eddycurrent for damping purposes majority of research in eddy current damping has taken place [6]. Fig -1: Schematic of conductive material passing through a magnetic field and the generation of eddy currents [8]. 2. AIM AND OBJECTIVES 2.1 Aim The aim of the project is to designandfabricateeddy current damper. 2.2 Objectives The objectives that are inevitable and essential for completing our study of Eddycurrent damper are as follows:  To calculate magnetic flux and eddy current damping force.  To design high performance damper and to vary the damping easily. 3. PROBLEM DEFINITION To design and fabricate an eddy current damper with the following specifications:  Variable damping constant.  High Reliability.  High Thermal Stability. 4. SIMULATIONS PERFORMED Simulation is the imitation of any real world phenomenon by developing a model, applying real world condition. The aim of the performed simulations is to determine the magnetic flux and eddy current damping force. 4.1 Quickfield Student The geometry drawing is made in axisymmetric mode. Two nearby magnets brown in color are separated by a spacer and their poles are arranged in opposite direction.
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 10 | Oct 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 130 Fig -2: Geometry of magnet and spacer arrangement Meshing of geometry is done in thisstep. Thecircles represent the size of mesh at that point. Fig -3: Meshing of geometry Plot of magnetic field lines and magnet flux density is determined. Fig -4: Plot showing magnetic field lines and magnetic flux density Variation of magnetic flux density along the axial line between the outside cylinder and magnet and spacer is determined. Fig -5: Plot of magnetic flux density along the axial line Final results are obtained and average is calculated to find the average flux density. Fig -6: Magnetic flux density values 4.2 Comsol Multiphysics The solution obtained for magnetic flux density are shown and compared with Quickfield Student. The geometry drawing is done in axisymmetric mode. The geometry of magnet and spacer arrangementand copper tube is made.
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 10 | Oct 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 131 Fig -7: Geometry of the model Meshing of geometry is done. The pattern made represent the size of mesh at that point. Fig -8: Meshing of the model The results of eddy current damper simulation are obtained. These results are obtained inordertocomparethe same with the experimental values. Plot showing magnetic flux density in Tesla is obtained for the geometry made. Fig -9: Plot showing Magnetic flux density Eddy current induced in copper tube due to moving magnet is obtained as simulation results. Plot showing current density in Ampere per meter square is obtained for the geometry made. Fig -10: Plot showing current density Lorentz force is induced in magnet due to eddy current formed in copper tube. Plot of Lorentz force in Newton versus Time in second is obtained. From this graph it is observed that the force reaches 450 N and returns to its initial value. This same curve is repeated at certain time intervals. Fig -11: Plot of Lorentz force v/s time Acceleration of falling magnet reduces as eddy current formed oppose the motion of magnet. Plot of magnetic acceleration in meter per square second versus time in second is obtained. From this graph it is observed that it reaches -350 m/s2 and returns to the initial value. This same curve is repeated at certain time intervals. Fig -12: Plot of magnetic acceleration v/s time
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 10 | Oct 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 132 Plot of velocity in meter per second versus time in second is obtained. From this graph it is observed that its velocity reaches 6 m/s and returns to its initial value. This same curve is repeated at certain time intervals. Fig -13: Plot of velocity v/s time 5. CONSTRUCTIONS There are two double acting hydraulic cylinders of diameter in ratio (D/d=1) as shown in fig. Both the cylinders are connected by hose pipes. Oil is being used in the cylinder. The cylinders are kept virtually on a base. There is a magnet and a spacer arrangement where they are keptalternatively. The copper is also placed inside the steel casing and is attaches to the top of the second cylinder. Fig -14: Schematic diagram of Eddy current damper Fig -15: Eddy current damper setup 6. WORKING External force is provided by the mechanical exciter of variable frequency and damping constant can be determined. As force is applied on the first cylinder,oil flows into the second cylinder causing the piston to move upward. As the piston moves upward the copper cylinder also reciprocates around the magnet and stator arrangement. Because of this eddy current is generated and a force opposite to the direction of movement of the cylinder is generated because of which damping occurs. 7. RESULT A table of angular frequency, acceleration, velocityisplotted for various frequencies. Following formula are used to obtain the values: f = frequency (Hz) ω = angular frequency = 2πf (rad/s) a = acceleration = ω2R (rad/s2) v = velocity = Rω (m/s) Table -1: Angular Frequency, Acceleration and Velocity for Various Frequencies
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 10 | Oct 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 133 Taking various values from the table, different graph of Lorentz force v/s time are plotted. Fig -16: Graphs for Lorentz force v/s Time It is observed that the Lorentz force varies sinusoidal in nature. This is because the motion of the magnets is simple harmonic motion. From the graph we come to know the value of Lorentz force acting at any particular frequency. Because of the arrangement of the setup whateverforceacts on the copper tube two times of that force acts on the upper plate therefore the graph is plottedwhere wetakemaximum force instead of mean force. The graph showing force acting on the upper plate of damper at different operating frequencies of the setup is shown. Fig -17: Graph of Force v/s Frequency From maximum force acting we can calculate damping constant by the formula C = F/v where, f is obtainedfromthe graph and v = Rω. The graph is plotted as shown. Fig -18: Graph of damping constant v/s Frequency 8. CONCLUSION An Eddy current damper has been designed;novel feature of this design is incorporation of fluid amplification link to increase relative velocity between magnet and copper tube. Fabrication and simulation has been done successfully. The initial design was modified so as to achieve structural rigidity and avoid over-damping. The damper was designed such that it could be tested on the mechanical exciter [23]. Because of the values obtained in theoretical calculation, double acting hydraulic cylinder with higher operating pressure was procured and by testing the damper led to complications in requirement of mass for the working of spring-mass damper system. Hence the results obtained by the simulation couldn’t be verified by testing the damper. The simulation of magnetic flux density was carried out in Quickfield Student and was later compared with the simulation done on COMSOL Multiphysics. The result obtained showed almost similar values. The result for various damping constant can be easily inferred through damping constant v/s frequency graph. ACKNOWLEDGEMENT A sincere gratitude to project guide Mr. Girish Dalvi and also, valuable inputs from Prof. Dr. Nitin Satpute. A very heartfelt thanks to the college for support and guidance provided. REFERENCES [1] Y. Kligerman, A. Grushkevich, M.S. Darlow, A. Zuckerberger, 1995, “Analysis and experimental evaluation of inherent instability in electromagnetic eddy-current dampers intended for reducing lateral vibration of rotating machinery,”15th Biennial Conference on Vibration and Noise, Boston, MA, : pp. 1301–1309.
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 10 | Oct 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 134 [2] Craik D, 1995, “Magnetism, principles and applications,” Wiley, New York: pp. 334–336. [3] H. Teshima, M. Tanaka, K. Miyamoto, K. Nohguchi, K. Hinata, 1997, “Effect of eddy current dampers on the vibrational properties in superconducting levitation using melt-processed YbaCuO bulk superconductors,” Physica C 274: pp. 17–23. [4] Hahn, K. D., Johnson, E. M., Brokken, A., and Baldwin, S., 1998, “Eddy Current Damping of a Magnet Moving Through a Pipe,” Am. J. Phys., 66(12), pp. 1066–1076. [5] Furlani EP, 2001, “Permanent magnet and electromechanical devices, materials, analysis and applications,” Academic Press, London, pp. 126–130. [6] K. Kwak, M.I. Lee, S. Heo, 2003, “Vibration suppression using eddy current damper,” Korean Society for Noise and Vibration Engineering 13 (10): pp. 760–766. [7] H.A. Sodano, J.S. Bae, 2004, “Eddy current damping in structures,” Shock and Vibration Digest 36 (6): pp. 469– 478. [8] Sodano, H.A., Bae, J.S., Inman, D.J. and Belvin, W.K., 2005, “Concept and Model of Eddy Current Damper for Vibration Suppression of a Beam,” Journal of Sound and Vibration, Vol. 288, pp. 1177-1196. [9] J.S. Bae, M.K. Kwak, D.J. Inman, 2005, “Vibration suppression of cantilever beam using eddy current damper,” Journal of Sound and Vibration 284 (3–5): pp. 805–824. [10] H.A. Sodano, J.S. Bae, D.J. Inman, W.K. Belvin, 2006, “Improved concept and model of eddy currentdamper,” Journal of Vibration and Acoustics—Transactionsofthe ASME 128: pp. 295–302. [11] H.A. Sodano, J.S. Bae, D.J. Inman, W.K. Belvin, 2006, “ Modeling and application of passive eddy current damper for the suppression of membrane vibrations,” AIAA Journal 44 (3): pp. 541–549. [12] C. Elbuken, M.B. Khamesee, M. Yavuz, 2006, “Eddy current damping for magnetic levitation: downscaling from macro to micro-levitation,” Journal of Physics D: Applied Physics 39: pp. 3932–3938. [13] Sodano, H.A, Inman, D.J, 2007, “Non-contact vibration control system employing an active eddy current damper,” Journal of Sound and Vibration 305, pp. 596– 613. [14] Elbuken C, Shameli E and Khamesee M B, 2007, “Modeling and analysis of eddy-current damping for high-precision magnetic levitation of a small magnet,” IEEE Trans. Magn. 43: pp. 26–32. [15] A.Tonoli, 2007, “Dynamic characteristics of eddy current dampers and couplers,” Journal of Sound and Vibration 301: pp.576–591. [16] Ebrahimi B, Khamesee MB, Golnaraghi MF, 2008, “Design and modeling of a magnetic shock absorber based on eddy current damping effect,” J SoundVib315: pp. 875–889. [17] B. Ebrahimi, M.B. Khamesee, F. Golnaraghi, 2009, “A novel eddy current damper: theory and experiment,” J. Phys. D-Appl. Phys. 42 075001 : pp. 1-6. [18] B. Ebrahimi, M. B. Khamesee, and F. Golnaraghi, 2009, “Eddy current damper feasibility in automobile suspension: modeling, simulation and testing,” Smart Materials and Structures, vol. 18, pp. 1–12. [19] B. Ebrahimi, M. B. Khamesee, and F. Golnaraghi, 2010, “Permanent magnet configuration in design of an eddy current damper,” Microsystem Technologies,vol.16, no. 1-2: pp. 19–24. [20] Satpute NV, Singh S and Sawant SM, 2014, “Energy harvesting shock absorber with electromagnetic and fluid damping,” Adv Mech Eng: pp. 1–14. [21] Chen C, 2014, “Simulation, design and experimental validation of a passive magnetic damper for ultra-fast actuators,”.KTH Royal Institute of Technology Electrical Engineering, Degree project, in, second level Stockholm, Sweden. [22] Satpute NV, Satpute SN and JugulkarLM.,2017,“Hybrid electromagneticshock absorberfor energyharvestingin a vehicle suspension,”.Proc IMechE Part C: J Mechanical Engineering Science, Vol. 231(8): pp.1500–1517. [23] Pankaj, 2018, “Design And Development OfQuarterCar Suspension Test Rig Model And It’s Simulation,” Fr.C.Rodrigues Institute of Technology Mechanical Engineering, M.E Degree project.