ISO 12130-2:2013

Plain bearings — Hydrodynamic plain tilting pad thrust bearings under steady-state conditions — Part 2: Functions for calculation of tilting pad thrust bearings

ISO 12130-2:2013 specifies the derivation of mathematical functions to be applied when calculating tilting pad thrust bearings.

Paliers lisses — Butées hydrodynamiques à patins oscillants fonctionnant en régime stationnaire — Partie 2: Fonctions pour le calcul des butées à patins oscillants

Drsni ležaji - Hidrodinamični drsni samoprilagodljivi aksialni segmentni ležaji pri stacionarnih pogojih obratovanja - 2. del: Funkcije za preračun samoprilagodljivih aksialnih segmentnih ležajev

Ta del standarda ISO 12130 določa izpeljavo matematičnih funkcij, ki jih je treba uporabiti pri preračunu samoprilagodljivih aksialnih segmentnih ležajev.  Ta del standarda ISO 12130 se ne uporablja za zelo obremenjene samoprilagodljive aksialne segmentne ležaje.

General Information

• Status: Withdrawn
• Publication Date: 18-Sep-2013
• Withdrawal Date: 18-Sep-2013
• ICS: 21.100.10 - Plain bearings
• Technical Committee: ISO/TC 123/SC 8 - Calculation methods for plain bearings and their applications
• Drafting Committee: ISO/TC 123/SC 8 - Calculation methods for plain bearings and their applications
• Current Stage: 9599 - Withdrawal of International Standard
• Completion Date: 20-Feb-2020
• Ref Project: SIST ISO 12130-2:2015 - Plain bearings - Hydrodynamic plain tilting pad thrust bearings under steady-state conditions - Part 2: Functions for calculation of tilting pad thrust bearings

Relations

• Revised: ISO 12130-2:2020 - Plain bearings — Hydrodynamic plain tilting pad thrust bearings under steady-state conditions — Part 2: Functions for calculation of tilting pad thrust bearings
• Effective Date: 23-Apr-2020
• Revises: ISO 12130-2:2001 - Plain bearings — Hydrodynamic plain tilting pad thrust bearings under steady-state conditions — Part 2: Functions for calculation of tilting pad thrust bearings
• Effective Date: 09-Mar-2013

Standards Content (Sample)

INTERNATIONAL ISO
STANDARD 12130-2
Second edition
2013-09-15
Plain bearings — Hydrodynamic plain
tilting pad thrust bearings under
steady-state conditions —
Part 2:
Functions for calculation of tilting pad
thrust bearings
Paliers lisses — Butées hydrodynamiques à patins oscillants
fonctionnant en régime stationnaire —
Partie 2: Fonctions pour le calcul des butées à patins oscillants
Reference number
ISO 12130-2:2013(E)
©
ISO 2013

---------------------- Page: 1 ----------------------
ISO 12130-2:2013(E)

COPYRIGHT PROTECTED DOCUMENT
© ISO 2013
All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized otherwise in any form
or by any means, electronic or mechanical, including photocopying, or posting on the internet or an intranet, without prior
written permission. Permission can be requested from either ISO at the address below or ISO’s member body in the country of
the requester.
ISO copyright office
Case postale 56 • CH-1211 Geneva 20
Tel. + 41 22 749 01 11
Fax + 41 22 749 09 47
E-mail [e-mail]
Web www.iso.org
Published in Switzerland
ii © ISO 2013 – All rights reserved

---------------------- Page: 2 ----------------------
ISO 12130-2:2013(E)

Contents Page
Foreword .iv
Introduction .v
1 Scope . 1
2 Normative reference . 1
3 Functions for the tilting pad thrust bearing . 1
3.1 General . 1
3.2 Characteristic value of load-carrying capacity, F*, as a function of the relative bearing
width, B/L, and the relative minimum lubricant film thickness, h /C .
min wed 1
3.3 Characteristic value of friction, f*, as a function of the relative bearing width, B/L, and the
relative minimum lubricant film thickness, h /C .
min wed 4
* *
3.4 Relative lubricant flow rates Q and Q as a function of the relative bearing width, B/L,
1 3
and the relative minimum lubricant film thickness, h /C .
min wed 5
*
3.5 Relative pressure centre coordinate or tilting pad supporting point a as a function of the
F
relative bearing width, B/L, and the relative minimum lubricant film thickness, h /C .
min wed
8
4 Effective dynamic viscosity of the lubricant, η , as a function of the effective lubricant film
eff
temperature, T .10
eff
Bibliography .12
© ISO 2013 – All rights reserved iii

---------------------- Page: 3 ----------------------
ISO 12130-2:2013(E)

Foreword
ISO (the International Organization for Standardization) is a worldwide federation of national standards
bodies (ISO member bodies). The work of preparing International Standards is normally carried out
through ISO technical committees. Each member body interested in a subject for which a technical
committee has been established has the right to be represented on that committee. International
organizations, governmental and non-governmental, in liaison with ISO, also take part in the work.
ISO collaborates closely with the International Electrotechnical Commission (IEC) on all matters of
electrotechnical standardization.
The procedures used to develop this document and those intended for its further maintenance are
described in the ISO/IEC Directives, Part 1. In particular the different approval criteria needed for the
different types of ISO documents should be noted. This document was drafted in accordance with the
editorial rules of the ISO/IEC Directives, Part 2. www.iso.org/directives
Attention is drawn to the possibility that some of the elements of this document may be the subject of
patent rights. ISO shall not be held responsible for identifying any or all such patent rights. Details of
any patent rights identified during the development of the document will be in the Introduction and/or
on the ISO list of patent declarations received. www.iso.org/patents
Any trade name used in this document is information given for the convenience of users and does not
constitute an endorsement.
The committee responsible for this document is ISO/TC 123, Plain bearings, Subcommittee SC 4, Methods
of calculation of plain bearings.
This second edition cancels and replaces the first edition (ISO 12130-2:2001), of which it constitutes a
minor revision.
ISO 12130 consists of the following parts, under the general title Plain bearings — Hydrodynamic plain
tilting pad thrust bearings under steady-state conditions:
— Part 1: Calculation of tilting pad thrust bearings
— Part 2: Functions for calculation of tilting pad thrust bearings
— Part 3: Guide values for the calculation of tilting pad thrust bearings
iv © ISO 2013 – All rights reserved

---------------------- Page: 4 ----------------------
ISO 12130-2:2013(E)

Introduction
The functions of the following type are necessary for the calculation of oil-lubricated tilting pad thrust
bearings in accordance with ISO 12130-1, assuming hydrodynamic conditions with full lubrication.
They are based on the premises and boundary conditions specified therein. The values necessary for the
calculation can be determined by means of the given formulae as well as from diagrams and tables. The
formulae are approximations of the numerically determined values traced as curves in accordance with
Reference [1]. The explanation of the symbols and examples for the calculation are included in ISO 12130-1.
On account of the premises laid down in ISO 12130-1:2001, Clause 3, items g) and k), the following
definitions are not applicable to the calculation of thrust bearings with centrally supported tilting pads
*
( a = 0,5), which, under the premises indicated therein, have no hydrodynamic load-carrying capacity.
F
For the determination of the characteristic values of such bearings, it is necessary to consider at least
the deformations of the tilting pads which occur during operation. Compare, e.g. References [2] and [3].
© ISO 2013 – All rights reserved v

---------------------- Page: 5 ----------------------
INTERNATIONAL STANDARD ISO 12130-2:2013(E)
Plain bearings — Hydrodynamic plain tilting pad thrust
bearings under steady-state conditions —
Part 2:
Functions for calculation of tilting pad thrust bearings
1 Scope
This part of ISO 12130 specifies the derivation of mathematical functions to be applied when calculating
tilting pad thrust bearings.
This part of ISO 12130 is not applicable to heavily loaded tilting pad thrust bearings.
2 Normative reference
The following documents, in whole or in part, are normatively referenced in this document and are
indispensable for its application. For dated references, only the edition cited applies. For undated
references, the latest edition of the referenced document (including any amendments) applies.
ISO 12130-1, Plain bearings — Hydrodynamic plain tilting pad thrust bearings under steady-state
conditions — Part 1: Calculation of tilting pad thrust bearings
3 Functions for the tilting pad thrust bearing
3.1 General
An explanation of the symbols is given in ISO 12130-1.
3.2 Characteristic value of load-carrying capacity, F*, as a function of the relative bear-
ing width, B/L, and the relative minimum lubricant film thickness, h /C
min wed
h
min
Approximation of the curves of Figure 1 (range of application: 02,  ≤≤ 2 ):
C
wed
2
   
1 1
 
**
 +− 1 ++− C 1
AB
2    
 
1 + hC
) hC hC
  (
min wed 2
h  min wed   min wed 
min
*
 
 =5  × ln  − × (1)
F  
2
hC h
C  min 
 wed  min wed
 1 
1 ++×  2
  1 + a
 
C
wed
 
BL
 
2
 
 
 
h h
minmin
   
12 −+
2
 
2
 
   
C C
wedwed
 
10  
 
h h  
minmin
 
a =  ×+    + (2)
   
2
   
C C
1 + hC
wedw ed   ( )
   
min wed
h h
min min
 
12 + 12  12 + × ln −2 
 
   
hC
C  C 
 wed  min wed
 wed
   
 
2 3
B B B
     
*
 =−1, 168 60 ,329 45 × +× ,0 222 67  − 0, 046 51×  (3)
A
     
L L L
     
© ISO 2013 – All rights reserved 1

---------------------- Page: 6 ----------------------
ISO 12130-2:2013(E)

2 3
B  B  B 
*
 =−+×0, 100 95 ,0 197 43   ,−×0 131 36   +× ,0 028 703  (4)
B
     
L L L
     
2 3
B B B
     
*
 =−0, 004 879 10+× ,008 601  −× ,0 005 401 5   +×0, 001 127 8  (5)
C
     
L L L
     
2 © ISO 2013 – All rights reserved

---------------------- Page: 7 ----------------------
ISO 12130-2:2013(E)

0,12
0,11
0,10
0,09
0,08
0,07
0,06
B/L=2
0,05
1,5
0,04
1
0,03
0,75
0,02
0,5
0,01
0
0,1 0,2 0,3 0,4 0,5 0,6 0,8 12
h /C
min wed
Figure 1 — Characteristic value of load-carrying capacity, F*, as a function of the relative
bearing width, B/L, and the relative minimum lubricant film
...

SLOVENSKI STANDARD
SIST ISO 12130-2:2015
01-marec-2015
1DGRPHãþD
SIST ISO 12130-2:2002
'UVQLOHåDML+LGURGLQDPLþQLGUVQLVDPRSULODJRGOMLYLDNVLDOQLVHJPHQWQLOHåDMLSUL
VWDFLRQDUQLKSRJRMLKREUDWRYDQMDGHO)XQNFLMH]DSUHUDþXQVDPRSULODJRGOMLYLK
DNVLDOQLKVHJPHQWQLKOHåDMHY
Plain bearings - Hydrodynamic plain tilting pad thrust bearings under steady-state
conditions - Part 2: Functions for calculation of tilting pad thrust bearings
Paliers lisses - Butées hydrodynamiques à patins oscillants fonctionnant en régime
stationnaire - Partie 2: Fonctions pour le calcul des butées à patins oscillants
Ta slovenski standard je istoveten z: ISO 12130-2:2013
ICS:
21.100.10 Drsni ležaji Plain bearings
SIST ISO 12130-2:2015 en
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

---------------------- Page: 1 ----------------------

SIST ISO 12130-2:2015

---------------------- Page: 2 ----------------------

SIST ISO 12130-2:2015
INTERNATIONAL ISO
STANDARD 12130-2
Second edition
2013-09-15
Plain bearings — Hydrodynamic plain
tilting pad thrust bearings under
steady-state conditions —
Part 2:
Functions for calculation of tilting pad
thrust bearings
Paliers lisses — Butées hydrodynamiques à patins oscillants
fonctionnant en régime stationnaire —
Partie 2: Fonctions pour le calcul des butées à patins oscillants
Reference number
ISO 12130-2:2013(E)
©
ISO 2013

---------------------- Page: 3 ----------------------

SIST ISO 12130-2:2015
ISO 12130-2:2013(E)

COPYRIGHT PROTECTED DOCUMENT
© ISO 2013
All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized otherwise in any form
or by any means, electronic or mechanical, including photocopying, or posting on the internet or an intranet, without prior
written permission. Permission can be requested from either ISO at the address below or ISO’s member body in the country of
the requester.
ISO copyright office
Case postale 56 • CH-1211 Geneva 20
Tel. + 41 22 749 01 11
Fax + 41 22 749 09 47
E-mail [e-mail]
Web www.iso.org
Published in Switzerland
ii © ISO 2013 – All rights reserved

---------------------- Page: 4 ----------------------

SIST ISO 12130-2:2015
ISO 12130-2:2013(E)

Contents Page
Foreword .iv
Introduction .v
1 Scope . 1
2 Normative reference . 1
3 Functions for the tilting pad thrust bearing . 1
3.1 General . 1
3.2 Characteristic value of load-carrying capacity, F*, as a function of the relative bearing
width, B/L, and the relative minimum lubricant film thickness, h /C .
min wed 1
3.3 Characteristic value of friction, f*, as a function of the relative bearing width, B/L, and the
relative minimum lubricant film thickness, h /C .
min wed 4
* *
3.4 Relative lubricant flow rates Q and Q as a function of the relative bearing width, B/L,
1 3
and the relative minimum lubricant film thickness, h /C .
min wed 5
*
3.5 Relative pressure centre coordinate or tilting pad supporting point a as a function of the
F
relative bearing width, B/L, and the relative minimum lubricant film thickness, h /C .
min wed
8
4 Effective dynamic viscosity of the lubricant, η , as a function of the effective lubricant film
eff
temperature, T .10
eff
Bibliography .12
© ISO 2013 – All rights reserved iii

---------------------- Page: 5 ----------------------

SIST ISO 12130-2:2015
ISO 12130-2:2013(E)

Foreword
ISO (the International Organization for Standardization) is a worldwide federation of national standards
bodies (ISO member bodies). The work of preparing International Standards is normally carried out
through ISO technical committees. Each member body interested in a subject for which a technical
committee has been established has the right to be represented on that committee. International
organizations, governmental and non-governmental, in liaison with ISO, also take part in the work.
ISO collaborates closely with the International Electrotechnical Commission (IEC) on all matters of
electrotechnical standardization.
The procedures used to develop this document and those intended for its further maintenance are
described in the ISO/IEC Directives, Part 1. In particular the different approval criteria needed for the
different types of ISO documents should be noted. This document was drafted in accordance with the
editorial rules of the ISO/IEC Directives, Part 2. www.iso.org/directives
Attention is drawn to the possibility that some of the elements of this document may be the subject of
patent rights. ISO shall not be held responsible for identifying any or all such patent rights. Details of
any patent rights identified during the development of the document will be in the Introduction and/or
on the ISO list of patent declarations received. www.iso.org/patents
Any trade name used in this document is information given for the convenience of users and does not
constitute an endorsement.
The committee responsible for this document is ISO/TC 123, Plain bearings, Subcommittee SC 4, Methods
of calculation of plain bearings.
This second edition cancels and replaces the first edition (ISO 12130-2:2001), of which it constitutes a
minor revision.
ISO 12130 consists of the following parts, under the general title Plain bearings — Hydrodynamic plain
tilting pad thrust bearings under steady-state conditions:
— Part 1: Calculation of tilting pad thrust bearings
— Part 2: Functions for calculation of tilting pad thrust bearings
— Part 3: Guide values for the calculation of tilting pad thrust bearings
iv © ISO 2013 – All rights reserved

---------------------- Page: 6 ----------------------

SIST ISO 12130-2:2015
ISO 12130-2:2013(E)

Introduction
The functions of the following type are necessary for the calculation of oil-lubricated tilting pad thrust
bearings in accordance with ISO 12130-1, assuming hydrodynamic conditions with full lubrication.
They are based on the premises and boundary conditions specified therein. The values necessary for the
calculation can be determined by means of the given formulae as well as from diagrams and tables. The
formulae are approximations of the numerically determined values traced as curves in accordance with
Reference [1]. The explanation of the symbols and examples for the calculation are included in ISO 12130-1.
On account of the premises laid down in ISO 12130-1:2001, Clause 3, items g) and k), the following
definitions are not applicable to the calculation of thrust bearings with centrally supported tilting pads
*
( a = 0,5), which, under the premises indicated therein, have no hydrodynamic load-carrying capacity.
F
For the determination of the characteristic values of such bearings, it is necessary to consider at least
the deformations of the tilting pads which occur during operation. Compare, e.g. References [2] and [3].
© ISO 2013 – All rights reserved v

---------------------- Page: 7 ----------------------

SIST ISO 12130-2:2015

---------------------- Page: 8 ----------------------

SIST ISO 12130-2:2015
INTERNATIONAL STANDARD ISO 12130-2:2013(E)
Plain bearings — Hydrodynamic plain tilting pad thrust
bearings under steady-state conditions —
Part 2:
Functions for calculation of tilting pad thrust bearings
1 Scope
This part of ISO 12130 specifies the derivation of mathematical functions to be applied when calculating
tilting pad thrust bearings.
This part of ISO 12130 is not applicable to heavily loaded tilting pad thrust bearings.
2 Normative reference
The following documents, in whole or in part, are normatively referenced in this document and are
indispensable for its application. For dated references, only the edition cited applies. For undated
references, the latest edition of the referenced document (including any amendments) applies.
ISO 12130-1, Plain bearings — Hydrodynamic plain tilting pad thrust bearings under steady-state
conditions — Part 1: Calculation of tilting pad thrust bearings
3 Functions for the tilting pad thrust bearing
3.1 General
An explanation of the symbols is given in ISO 12130-1.
3.2 Characteristic value of load-carrying capacity, F*, as a function of the relative bear-
ing width, B/L, and the relative minimum lubricant film thickness, h /C
min wed
h
min
Approximation of the curves of Figure 1 (range of application: 02,  ≤≤ 2 ):
C
wed
2
   
1 1
 
**
 +− 1 ++− C 1
AB
2    
 
1 + hC
) hC hC
  (
min wed 2
h  min wed   min wed 
min
*
 
 =5  × ln  − × (1)
F  
2
hC h
C  min 
 wed  min wed
 1 
1 ++×  2
  1 + a
 
C
wed
 
BL
 
2
 
 
 
h h
minmin
   
12 −+
2
 
2
 
   
C C
wedwed
 
10  
 
h h  
minmin
 
a =  ×+    + (2)
   
2
   
C C
1 + hC
wedw ed   ( )
   
min wed
h h
min min
 
12 + 12  12 + × ln −2 
 
   
hC
C  C 
 wed  min wed
 wed
   
 
2 3
B B B
     
*
 =−1, 168 60 ,329 45 × +× ,0 222 67  − 0, 046 51×  (3)
A
     
L L L
     
© ISO 2013 – All rights reserved 1

---------------------- Page: 9 ----------------------

SIST ISO 12130-2:2015
ISO 12130-2:2013(E)

2 3
B  B  B 
*
 =−+×0, 100 95 ,0 197 43   ,−×0 131 36   +× ,0 028 7
...