Hole-wedge Effect of Friction Pair and Its Control Mechanism
TELKOMNIKA, Vol.14, No.3A, September 2016, pp. 75~82
ISSN: 1693-6930, accredited A by DIKTI, Decree No: 58/DIKTI/Kep/2013
DOI: 10.12928/TELKOMNIKA.v14i3A.4406
75
Hole-Wedge Effect of Friction Pair and Its Control
Mechanism
Zhihong Han*, Shuyang Liu
Jingdezhen Ceramic Institute, Jingdezhen 333403, P. R. China
*Corresponding author, email: [email protected]
Abstract
A special phonomenon of self-lubrication compensation named hole-wedge effect was found in a
bionic porous friction pair, meanwhile the origin and regularity of this effect and its tribological behaviors
were discussed in this paper. The process of self-circulating compensation of lubrication was modeled,
and taking ferrofluid as lubricant a series of experiments were designed and done. Researches show that:
the hole effect will produce self-compensation migration of lubricant in the holes to interface, and
accordingly the wedge effect will exert a directional laminar flow, thus by well design the synthesis of these
two effects can be used to obtain self-circulating compensation of lubrication in porous friction pair, which
can significantly improve the stability and tribological performance of friction pairs.
Keywords: Bionic friction pair; hole-wedge effect; self-circulation; lubrication compensation
Copyright © 2016 Universitas Ahmad Dahlan. All rights reserved.
1. Introduction
It’s reported that the energy loss caused by the friction is a third to the industrial energy
consumption worldwide, and 80% of the Mechanical Failure are caused by the friction loss.
Especially in the conditions of uniformly distributed load, impact vibration and overload, how to
improve the service life of the bearing components and the working performance and to realize
the lubrication compensation between the friction interfaces has important research value and
engineering significance. From the perspective of the smart tribology, the key of highperformance friction pair structure design is how to improve the loading adaptability and
absorption ability of interfacial film, and to realize self-adjustment of the film thickness and
component of lubrication to the load changes, this is also the new topic in the current smart
tribological researches [1-2]. The current scholars have proposed to magnetic as a lubricant,
which is a multiphase colloid traditionally used for sealing and damping control, and carried
some engineering practice.
From the perspective of bionics, the hole-wedge effect of multiphase lubricant colloid in
the friction gap was discussed, and the mechanism of self-circulating lubrication compensation
and the structure design of bionic friction pair were put forward. A kind of ferrofluid lubrication
trust bearing is introduced, its tribological experiments were carried out and the relevant
influence factors were analyzed in this paper [3-6].
2. Hole Effect of Colloidal Lubricant in Porous Friction Pair
Most of the industrial colloidal lubricant belongs to solid, liquid uniform multiphase
dispersed system, and its tribological properties are between fluid and solid and varying with the
working conditions. When the friction block is made of porous materials and immersed colloid in
the structural holes, then similar to sweating behavior of the human skin that its tribological
behaviors should be not only related to the interface of lubricating film but also influenced by the
compensation characteristics of colloid lubricant stored in the hole [7, 8].
Received April 5, 2016; Revised July 16, 2016; Accepted July 29, 2016
76
ISSN: 1693-6930
(a)
(b)
(c)
Figure 1. Stress state under loading
During the friction process, the lubrication colloid at the orifice is in the shear
compression state. Sliding motion between the friction pair produces a shearing action on
colloid, the colloid then deforms and extends along the friction interface for the reason of plastic
deformation and solid co-ordination, as shown in Figure 1(a), Figure 1(b) and (c) are
respectively the stress distributions of colloid in the hole and on the friction interface.
Here in Figure 1, d c is the mean diameter of penetration holes in porous friction pair
block (mm) ; h is the thickness of interfacial colloid lubricating film (mm) ; a1 , a 2 , Fa1 , Fa 2 and
la1 , la 2 are respectively the compressive stresses ( Pa) , the resultant forces ( N ) and the arms of
resultant forces (mm) which colloid acting on the two ring surface in the hole; f 1 , f 2 and F f
are respectively in the wall friction stresses ( Pa) and the resultant force ( N ) on the two ring of
colloid in the hole; W , m , m' and FW , Fm , Fm' are respectively the compressive stresses on
the colloid hole projection area ( Pa) ,the vertical stress ( Pa) and reactive stress ( Pa) loading on
the colloid in the hole and on the interface and their resultant forces ( N ) ; lm is the force arm of
Fm' on the colloid in hole (mm) ; b1 , b 2 and Fb1 , Fb 2 are respectively the molecular key
bonding force ( Pa) and deformation resistance ( Pa) of interfacial colloid in horizontal direction
and their resultant forces ( N ) ; lb1 and lb 2 are respectively the force arms of Fb1 and Fb 2 acting
on the interfacial area of orifice colloid (mm) ; m and F m are respectively the wall shear stress
of upper friction plate ( Pa) and its resultant force in the region of the orifice projection area ( N ) .
According to the mechanics analysis to the lubrication colloid in the hole and on the
interface, following equations are gotten.
on the friction interface,
F
bx
F
bz
m
d c2
4
W
b1
d c2
4
dc h
2
m
d c2
4
b2
F m Fb1 Fb 2 0
(1)
h dc
FW Fm 0
M b F m h Fb1 lb1 Fb 2 lb 2 0
TELKOMNIKA Vol. 14, No. 3A, September 2016 : 75 – 82
(2)
(3)
ISSN: 1693-6930
TELKOMNIKA
77
In the hole,
F
ax
a1
dc L
a2
Fa1 Fa 2 0
(4)
dc L
Faz ( f 1 f 2 )
dc L
2
m'
d c2
4
F f Fm' 0
M a Fm ' lm Fa1 la1 Fa 2 la 2 0
(5)
(6)
By the equilibrium equations, we can be obtained:
1) Because
b1 m
usually, so the molecular bond in lubricant material can be
ignored. Then assuming the distribution of
b2
b2
b2
on the acting surface is linear, i.e.,
dc h
h dc
2
(7)
Substituting Eq.(7) in Eq.(1),we can obtain,
h
m dc
2 b
(8)
2
2) In addition, by the deformation of Eq.(5), we can obtain,
m'
2 ( f 1 f 2 ) L
dc
(9)
3. Wedge Effect of Colloidal Lubricant on the Inverted Cone Interface
Figure 2. Wedge effect of lubrication colloid
Hole-Wedge Effect of Friction Pair and Its Control Mechanism (Zhihong Han)
78
ISSN: 1693-6930
As shown in Figure 2, the upper friction disk has an inverted cone surface, is rotating
around its center axis and subjected to external load, colloidal lubricant is filled in the interface
between the friction pair and the friction interface is sealed from outside environment.
Obviously, the structure of such a friction pair is a trust bearing.
Here, W is the load subjected on the upper friction disc(N); w is the wedge angle of
inverted cone(°); R is the radius of the friction block(mm); h2 is the minimum thickness of
lubricant film(mm) ; and h3 is the height of the inverted cone(mm).
An column coordinate system is established in this paper, as shown in Figure 2, and
taking a particular point where r [0, R] to carry on stress analysis.
Obviously there is,
h3 R tan w
(10)
4. Results and Analysis
4.1. Experimental Conditions and Methods
The experiment was done on the XP-1 triboloigical test machine which is independently
designed by the tribological institute of Wuhan University of Technolgy. The external magnetic
field is generated by six DC electromagnets which are uniformly placed around the bearing, and
the range of the input current is 0-2A. Ferrofluid lubricant is self-made in laboratory, the adding
volume ratio of magnetic particles is 6% and the base oil is silicone oil.
On the design of influence factors, the external loads are separately 19.6 N, 39.2 N,
73.5 N, 98 N and 147 N, the rotating speeds are 50 r/min, 100 r/min and 150 r/min and 200
r/min, and the input current are 0 A, 0.4 A, 0.8 A, 1.2 A, 1.6 A and 2 A. The experimental data of
friction coefficient are recorded per second, and the continuous 300 seconds are taken as an
acquisition cycle.
4.2. Experimental Results
a. The influence of rotating speed
Figure 3 and Figure 4 show the varying curves of friction coefficient about rotating
speed under different loads, respectively when the lubricant is silicone oil and ferrefluid and
without external magnetic field. By contrast, the friction coefficient of silicone oil increases with
rotating speed however that of ferrofluid decreases under the same load.
Figure 3. Friction coefficient curves of silicon oil lubrication
TELKOMNIKA Vol. 14, No. 3A, September 2016 : 75 – 82
TELKOMNIKA
ISSN: 1693-6930
79
Figure 4. Friction coefficient curves of ferrofluid lubrication (I=0A)
Taking the load W=147N and considering two rotating speed respectively of n=50(r/min)
and n=200(r/min), the friction coefficient in silicone oil lubrication situation increased 1.47
times(0.537/0.366), however that in the ferrofluid lubricating situation reduced to 78.8% and the
reduction ratio is 20.2%.
b. The influence of load
Figure 5 and Figure 6 show the varying curves of friction coefficient about load in
different rotating speed, respectively when the lubricant is silicone oil and ferrofluid and without
external magnetic field.
Figure 5. Friction coefficient curves of silicon oil lubrication
Hole-Wedge Effect of Friction Pair and Its Control Mechanism (Zhihong Han)
80
ISSN: 1693-6930
Figure 6. Friction coefficient curves of ferrofluid lubrication (I=0A)
By contrast, the loading capacity of silicone oil is very poor, especially when the load
exceeds W = 147 N then the friction condition of thrust bearing deteriorated rapidly and the
friction coefficient f 0.45 , which means the interface is almost in dry friction condition. On the
contrary, ferrofluid emerges good load capacity and lubrication behavior with 40% (10.323/0.537)decrease of friction coefficient when the load W = 147 and the rotational speed n =
200 r/min.
c. The influence of external magnetic field
Figure 7 and Figure 8 show the varying curves of friction coefficient about external
magnetic field intensity, respectively when the rotating speed is n=50r/min and n=200r/min.
Figure 7. Friction coefficient curves when n=50r/min
TELKOMNIKA Vol. 14, No. 3A, September 2016 : 75 – 82
TELKOMNIKA
ISSN: 1693-6930
81
Figure 8. Friction coefficient curves when n=200r/min
The analysis on the varying curves in the Figure s shows that, the friction coefficient decreases
with the increase of load when the applied magnetic field is certain, and the greater the load is,
the antifriction effect of the bearing is more apparent.
5. Conclusions
The hole-effect of porous friction block is helpful to produce compensation to the
interfacial colloidal lubricant so as to improve the stability of load when taking the colloid as
lubricant. The wedge-effect caused by the inverted cone friction plate can produce a directional
actuation on the interfacial lubricant movement, and this actuating action can be controlled by
certain structural design. The coupling structure design of friction pairs by applying the holeeffect and wedge-effect can realize the bionic compensation of colloid lubrication, and the
compensating movement can be self-circulating. The experimental research on a ferrofluid
microcirculating thrust bearing shows that, the self-circulating compensation of ferrofluid can
improve the tribological performance of bearing significantly.
Acknowledgements
The authors would like to thank National Natural Science Foundation of PR China for
the financial support [ID: 51075311] for the financial support.
References
[1]
[2]
[3]
[4]
Sree MK, Subrahmanyam K. Retail Web System Upgrading with Strategic Customer Using Threshold
Policy. Journal of Telematics and Informatics. 2015; 3(1): 28-32.
Junfeng T, Honghai H, Hongxia Z. The Ball Mill Driving Device Fault and the Main Bearing
Lubrication Analysis. TELKOMNIKA Indonesian Journal of Electrical Engineering. 2013; 11(4): 20732078.
Patel RM, Deheri GM, Vadher PA. Magnetic fluid-based squeeze film performance between porous
infinitely long parallel plates with porous matrix of non-uniform thickness and effect of transverse
surface roughness. Journal of the Balkan tribological association. 2011; 17: 315-318.
Kuzhir P. Free boundary of lubricant film in ferrofluid journal bearings. Tribology International. 2008;
4(41): 255-268.
Hole-Wedge Effect of Friction Pair and Its Control Mechanism (Zhihong Han)
82
[5]
[6]
[7]
[8]
ISSN: 1693-6930
Shah RC, Bhat MV. Porous secant shaped slider bearing with slip velocity lubricated by ferrofluid.
Industrial Lubrication and Tribology. 2003; 2-3(55): 113-115.
Zhu WB, Zhou G, Wang HS. Research on the Reciprocating Sealing of Fracturing Pump.
TELKOMNIKA Indonesian Journal of Electrical Engineering. 2012; 10(3): 499-504.
Zhang Y. Static characteristics of magnetized journal bearing lubricated with ferrofluid. Journal of
Tribology. 1991; 3(113): 533-538.
Lima RM, Carvalho D, Vaccaro G, Scavarda LF. Industrial engineering and operations management–
special issue. International journal of industrial engineering and management (IJIEM). 2013; 4(3):
103-108.
TELKOMNIKA Vol. 14, No. 3A, September 2016 : 75 – 82
ISSN: 1693-6930, accredited A by DIKTI, Decree No: 58/DIKTI/Kep/2013
DOI: 10.12928/TELKOMNIKA.v14i3A.4406
75
Hole-Wedge Effect of Friction Pair and Its Control
Mechanism
Zhihong Han*, Shuyang Liu
Jingdezhen Ceramic Institute, Jingdezhen 333403, P. R. China
*Corresponding author, email: [email protected]
Abstract
A special phonomenon of self-lubrication compensation named hole-wedge effect was found in a
bionic porous friction pair, meanwhile the origin and regularity of this effect and its tribological behaviors
were discussed in this paper. The process of self-circulating compensation of lubrication was modeled,
and taking ferrofluid as lubricant a series of experiments were designed and done. Researches show that:
the hole effect will produce self-compensation migration of lubricant in the holes to interface, and
accordingly the wedge effect will exert a directional laminar flow, thus by well design the synthesis of these
two effects can be used to obtain self-circulating compensation of lubrication in porous friction pair, which
can significantly improve the stability and tribological performance of friction pairs.
Keywords: Bionic friction pair; hole-wedge effect; self-circulation; lubrication compensation
Copyright © 2016 Universitas Ahmad Dahlan. All rights reserved.
1. Introduction
It’s reported that the energy loss caused by the friction is a third to the industrial energy
consumption worldwide, and 80% of the Mechanical Failure are caused by the friction loss.
Especially in the conditions of uniformly distributed load, impact vibration and overload, how to
improve the service life of the bearing components and the working performance and to realize
the lubrication compensation between the friction interfaces has important research value and
engineering significance. From the perspective of the smart tribology, the key of highperformance friction pair structure design is how to improve the loading adaptability and
absorption ability of interfacial film, and to realize self-adjustment of the film thickness and
component of lubrication to the load changes, this is also the new topic in the current smart
tribological researches [1-2]. The current scholars have proposed to magnetic as a lubricant,
which is a multiphase colloid traditionally used for sealing and damping control, and carried
some engineering practice.
From the perspective of bionics, the hole-wedge effect of multiphase lubricant colloid in
the friction gap was discussed, and the mechanism of self-circulating lubrication compensation
and the structure design of bionic friction pair were put forward. A kind of ferrofluid lubrication
trust bearing is introduced, its tribological experiments were carried out and the relevant
influence factors were analyzed in this paper [3-6].
2. Hole Effect of Colloidal Lubricant in Porous Friction Pair
Most of the industrial colloidal lubricant belongs to solid, liquid uniform multiphase
dispersed system, and its tribological properties are between fluid and solid and varying with the
working conditions. When the friction block is made of porous materials and immersed colloid in
the structural holes, then similar to sweating behavior of the human skin that its tribological
behaviors should be not only related to the interface of lubricating film but also influenced by the
compensation characteristics of colloid lubricant stored in the hole [7, 8].
Received April 5, 2016; Revised July 16, 2016; Accepted July 29, 2016
76
ISSN: 1693-6930
(a)
(b)
(c)
Figure 1. Stress state under loading
During the friction process, the lubrication colloid at the orifice is in the shear
compression state. Sliding motion between the friction pair produces a shearing action on
colloid, the colloid then deforms and extends along the friction interface for the reason of plastic
deformation and solid co-ordination, as shown in Figure 1(a), Figure 1(b) and (c) are
respectively the stress distributions of colloid in the hole and on the friction interface.
Here in Figure 1, d c is the mean diameter of penetration holes in porous friction pair
block (mm) ; h is the thickness of interfacial colloid lubricating film (mm) ; a1 , a 2 , Fa1 , Fa 2 and
la1 , la 2 are respectively the compressive stresses ( Pa) , the resultant forces ( N ) and the arms of
resultant forces (mm) which colloid acting on the two ring surface in the hole; f 1 , f 2 and F f
are respectively in the wall friction stresses ( Pa) and the resultant force ( N ) on the two ring of
colloid in the hole; W , m , m' and FW , Fm , Fm' are respectively the compressive stresses on
the colloid hole projection area ( Pa) ,the vertical stress ( Pa) and reactive stress ( Pa) loading on
the colloid in the hole and on the interface and their resultant forces ( N ) ; lm is the force arm of
Fm' on the colloid in hole (mm) ; b1 , b 2 and Fb1 , Fb 2 are respectively the molecular key
bonding force ( Pa) and deformation resistance ( Pa) of interfacial colloid in horizontal direction
and their resultant forces ( N ) ; lb1 and lb 2 are respectively the force arms of Fb1 and Fb 2 acting
on the interfacial area of orifice colloid (mm) ; m and F m are respectively the wall shear stress
of upper friction plate ( Pa) and its resultant force in the region of the orifice projection area ( N ) .
According to the mechanics analysis to the lubrication colloid in the hole and on the
interface, following equations are gotten.
on the friction interface,
F
bx
F
bz
m
d c2
4
W
b1
d c2
4
dc h
2
m
d c2
4
b2
F m Fb1 Fb 2 0
(1)
h dc
FW Fm 0
M b F m h Fb1 lb1 Fb 2 lb 2 0
TELKOMNIKA Vol. 14, No. 3A, September 2016 : 75 – 82
(2)
(3)
ISSN: 1693-6930
TELKOMNIKA
77
In the hole,
F
ax
a1
dc L
a2
Fa1 Fa 2 0
(4)
dc L
Faz ( f 1 f 2 )
dc L
2
m'
d c2
4
F f Fm' 0
M a Fm ' lm Fa1 la1 Fa 2 la 2 0
(5)
(6)
By the equilibrium equations, we can be obtained:
1) Because
b1 m
usually, so the molecular bond in lubricant material can be
ignored. Then assuming the distribution of
b2
b2
b2
on the acting surface is linear, i.e.,
dc h
h dc
2
(7)
Substituting Eq.(7) in Eq.(1),we can obtain,
h
m dc
2 b
(8)
2
2) In addition, by the deformation of Eq.(5), we can obtain,
m'
2 ( f 1 f 2 ) L
dc
(9)
3. Wedge Effect of Colloidal Lubricant on the Inverted Cone Interface
Figure 2. Wedge effect of lubrication colloid
Hole-Wedge Effect of Friction Pair and Its Control Mechanism (Zhihong Han)
78
ISSN: 1693-6930
As shown in Figure 2, the upper friction disk has an inverted cone surface, is rotating
around its center axis and subjected to external load, colloidal lubricant is filled in the interface
between the friction pair and the friction interface is sealed from outside environment.
Obviously, the structure of such a friction pair is a trust bearing.
Here, W is the load subjected on the upper friction disc(N); w is the wedge angle of
inverted cone(°); R is the radius of the friction block(mm); h2 is the minimum thickness of
lubricant film(mm) ; and h3 is the height of the inverted cone(mm).
An column coordinate system is established in this paper, as shown in Figure 2, and
taking a particular point where r [0, R] to carry on stress analysis.
Obviously there is,
h3 R tan w
(10)
4. Results and Analysis
4.1. Experimental Conditions and Methods
The experiment was done on the XP-1 triboloigical test machine which is independently
designed by the tribological institute of Wuhan University of Technolgy. The external magnetic
field is generated by six DC electromagnets which are uniformly placed around the bearing, and
the range of the input current is 0-2A. Ferrofluid lubricant is self-made in laboratory, the adding
volume ratio of magnetic particles is 6% and the base oil is silicone oil.
On the design of influence factors, the external loads are separately 19.6 N, 39.2 N,
73.5 N, 98 N and 147 N, the rotating speeds are 50 r/min, 100 r/min and 150 r/min and 200
r/min, and the input current are 0 A, 0.4 A, 0.8 A, 1.2 A, 1.6 A and 2 A. The experimental data of
friction coefficient are recorded per second, and the continuous 300 seconds are taken as an
acquisition cycle.
4.2. Experimental Results
a. The influence of rotating speed
Figure 3 and Figure 4 show the varying curves of friction coefficient about rotating
speed under different loads, respectively when the lubricant is silicone oil and ferrefluid and
without external magnetic field. By contrast, the friction coefficient of silicone oil increases with
rotating speed however that of ferrofluid decreases under the same load.
Figure 3. Friction coefficient curves of silicon oil lubrication
TELKOMNIKA Vol. 14, No. 3A, September 2016 : 75 – 82
TELKOMNIKA
ISSN: 1693-6930
79
Figure 4. Friction coefficient curves of ferrofluid lubrication (I=0A)
Taking the load W=147N and considering two rotating speed respectively of n=50(r/min)
and n=200(r/min), the friction coefficient in silicone oil lubrication situation increased 1.47
times(0.537/0.366), however that in the ferrofluid lubricating situation reduced to 78.8% and the
reduction ratio is 20.2%.
b. The influence of load
Figure 5 and Figure 6 show the varying curves of friction coefficient about load in
different rotating speed, respectively when the lubricant is silicone oil and ferrofluid and without
external magnetic field.
Figure 5. Friction coefficient curves of silicon oil lubrication
Hole-Wedge Effect of Friction Pair and Its Control Mechanism (Zhihong Han)
80
ISSN: 1693-6930
Figure 6. Friction coefficient curves of ferrofluid lubrication (I=0A)
By contrast, the loading capacity of silicone oil is very poor, especially when the load
exceeds W = 147 N then the friction condition of thrust bearing deteriorated rapidly and the
friction coefficient f 0.45 , which means the interface is almost in dry friction condition. On the
contrary, ferrofluid emerges good load capacity and lubrication behavior with 40% (10.323/0.537)decrease of friction coefficient when the load W = 147 and the rotational speed n =
200 r/min.
c. The influence of external magnetic field
Figure 7 and Figure 8 show the varying curves of friction coefficient about external
magnetic field intensity, respectively when the rotating speed is n=50r/min and n=200r/min.
Figure 7. Friction coefficient curves when n=50r/min
TELKOMNIKA Vol. 14, No. 3A, September 2016 : 75 – 82
TELKOMNIKA
ISSN: 1693-6930
81
Figure 8. Friction coefficient curves when n=200r/min
The analysis on the varying curves in the Figure s shows that, the friction coefficient decreases
with the increase of load when the applied magnetic field is certain, and the greater the load is,
the antifriction effect of the bearing is more apparent.
5. Conclusions
The hole-effect of porous friction block is helpful to produce compensation to the
interfacial colloidal lubricant so as to improve the stability of load when taking the colloid as
lubricant. The wedge-effect caused by the inverted cone friction plate can produce a directional
actuation on the interfacial lubricant movement, and this actuating action can be controlled by
certain structural design. The coupling structure design of friction pairs by applying the holeeffect and wedge-effect can realize the bionic compensation of colloid lubrication, and the
compensating movement can be self-circulating. The experimental research on a ferrofluid
microcirculating thrust bearing shows that, the self-circulating compensation of ferrofluid can
improve the tribological performance of bearing significantly.
Acknowledgements
The authors would like to thank National Natural Science Foundation of PR China for
the financial support [ID: 51075311] for the financial support.
References
[1]
[2]
[3]
[4]
Sree MK, Subrahmanyam K. Retail Web System Upgrading with Strategic Customer Using Threshold
Policy. Journal of Telematics and Informatics. 2015; 3(1): 28-32.
Junfeng T, Honghai H, Hongxia Z. The Ball Mill Driving Device Fault and the Main Bearing
Lubrication Analysis. TELKOMNIKA Indonesian Journal of Electrical Engineering. 2013; 11(4): 20732078.
Patel RM, Deheri GM, Vadher PA. Magnetic fluid-based squeeze film performance between porous
infinitely long parallel plates with porous matrix of non-uniform thickness and effect of transverse
surface roughness. Journal of the Balkan tribological association. 2011; 17: 315-318.
Kuzhir P. Free boundary of lubricant film in ferrofluid journal bearings. Tribology International. 2008;
4(41): 255-268.
Hole-Wedge Effect of Friction Pair and Its Control Mechanism (Zhihong Han)
82
[5]
[6]
[7]
[8]
ISSN: 1693-6930
Shah RC, Bhat MV. Porous secant shaped slider bearing with slip velocity lubricated by ferrofluid.
Industrial Lubrication and Tribology. 2003; 2-3(55): 113-115.
Zhu WB, Zhou G, Wang HS. Research on the Reciprocating Sealing of Fracturing Pump.
TELKOMNIKA Indonesian Journal of Electrical Engineering. 2012; 10(3): 499-504.
Zhang Y. Static characteristics of magnetized journal bearing lubricated with ferrofluid. Journal of
Tribology. 1991; 3(113): 533-538.
Lima RM, Carvalho D, Vaccaro G, Scavarda LF. Industrial engineering and operations management–
special issue. International journal of industrial engineering and management (IJIEM). 2013; 4(3):
103-108.
TELKOMNIKA Vol. 14, No. 3A, September 2016 : 75 – 82