ISO 12130-2-2013 Plain bearings - Hydrodynamic plain tilting pad thrust bearings under steady-state conditions - Part 2 Functions for calculation of tilting pad.pdf

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1、 ISO 2013 Plain bearings Hydrodynamic plain tilting pad thrust bearings under steady-state conditions Part 2: Functions for calculation of tilting pad thrust bearings Paliers lisses Butes hydrodynamiques patins oscillants fonctionnant en rgime stationnaire Partie 2: Fonctions pour le calcul des bute

2、s patins oscillants INTERNATIONAL STANDARD ISO 12130-2 Second edition 2013-09-15 Reference number ISO 12130-2:2013(E) ISO 12130-2:2013(E)ii ISO 2013 All rights reserved COPYRIGHT PROTECTED DOCUMENT ISO 2013 All rights reserved. Unless otherwise specified, no part of this publication may be reproduce

3、d 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 ISOs member body in the country of the requester. IS

4、O copyright office Case postale 56 CH-1211 Geneva 20 Tel. + 41 22 749 01 11 Fax + 41 22 749 09 47 E-mail copyrightiso.org Web www.iso.org Published in Switzerland ISO 12130-2:2013(E) ISO 2013 All rights reserved iii Contents Page Foreword iv Introduction v 1 Scope . 1 2 Normative reference . 1 3 Fun

5、ctions 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 min /C wed. 1 3.3 Characteristic value of friction, f*, as a function of the rela

6、tive bearing width, B/L, and the relative minimum lubricant film thickness, h min /C wed. 4 3.4 Relative lubricant flow rates Q and Q as a function of the relative bearing width, B/L, and the relative minimum lubricant film thickness, h min /C wed5 3.5 Relative pressure centre coordinate or tilting

7、pad supporting point a as a function of the relative bearing width, B/L, and the relative minimum lubricant film thickness, h min /C wed. 8 4 Effective dynamic viscosity of the lubricant, eff , as a function of the effective lubricant film temperature, T eff10 Bibliography .12 ISO 12130-2:2013(E) Fo

8、reword 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 tec

9、hnical 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 o

10、f 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 documen

11、t 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 paten

12、t 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 constit

13、ute 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 t

14、he 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 til

15、ting pad thrust bearingsiv ISO 2013 All rights reserved 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 ar

16、e 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 R

17、eference 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 ti

18、lting pads ( a = 0,5), which, under the premises indicated therein, have no hydrodynamic load-carrying capacity. 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.

19、References 2 and 3. ISO 2013 All rights reserved v 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 appl

20、ied 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 dat

21、ed 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

22、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 min /C wed Appro

23、ximation of the curves of Figure 1 (range of application: ): (1) (2) (3) INTERNATIONAL ST ANDARD ISO 12130-2:2013(E) ISO 2013 All rights reserved 1 ISO 12130-2:2013(E) (4) (5)2 ISO 2013 All rights reserved ISO 12130-2:2013(E) F * 0,12 0,10 0,11 0,09 0,08 0,07 0,06 0,05 0,04 0,03 0,02 0,01 0 0,1 0,2

24、0,3 0,4 0,5 0,6 0,8 12 B/L=2 1,5 1 0,75 0,5 h min /C 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 thickness, h min /C wed Table 1 Values to Figure 1 h min /C wedB/L2 1,5 1 0,75 0,52,000 0,08

25、9 95 0,077 21 0,055 75 0,040 39 0,022 881,000 0,109 6 0,094 57 0,068 94 0,050 37 0,028 920,667 0,109 5 0,094 97 0,069 97 0,051 58 0,030 050,500 0,103 2 0,090 01 0,067 01 0,049 83 0,029 450,333 0,087 19 0,076 88 0,058 36 0,044 09 0,026 760,250 0,072 85 0,064 87 0,050 11 0,038 37 0,023 820,200 0,061 2

26、7 0,055 05 0,043 20 0,033 45 0,021 17 ISO 2013 All rights reserved 3 ISO 12130-2:2013(E) 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 min /C wed Approximation of the curves of Figure 2 (range of appli

27、cation: ): (6) (7) (8) f * 1,2 1 1,1 0,9 0,8 0,7 0,6 0,5 0,4 0,3 0,2 0,1 0 0,1 0,2 0,3 0,4 0,5 0,6 0,8 12 B/L=2 1,5 1 0,75 0,5 h min /C wed Figure 2 Characteristic value of friction, f*, as a function of the relative bearing width, B/L, and the relative minimum lubricant film thickness, h min /C wed

28、4 ISO 2013 All rights reserved ISO 12130-2:2013(E) Table 2 Values to Figure 2 h min /C wedB/L2 1,5 1 0,75 0,52,000 0,833 4 0,830 2 0,824 9 0,821 0 0,816 71,000 0,748 0 0,740 4 0,727 6 0,718 3 0,707 60,667 0,693 0 0,682 1 0,663 3 0,649 5 0,633 40,500 0,652 5 0,639 3 0,616 3 0,599 1 0,678 80,333 0,592

29、 9 0,577 4 0,549 6 0,528 2 0,502 20,250 0,548 1 0,532 1 0,502 6 0,479 1 0,450 00,200 0,511 5 0,496 0 0,466 3 0,442 0 0,411 3 3.4 Relative lubricant flow rates Q and Q as a function of the relative bearing width, B/L, and the relative minimum lubricant film thickness, h min /C wed Approximation of th

30、e curves of Figures 3 and 4 (range of application: ): (9) with constants A iand B i for QQ : (10) (11) for QQ : (12) (13) ISO 2013 All rights reserved 5 ISO 12130-2:2013(E) Q 1 2,6 2,2 2,4 2 1,8 1,6 1,4 1,2 1 0,8 0,6 0,4 0,2 0,1 0,2 0,3 0,4 0,5 0,6 0,8 12 B/L=0,5 0,75 1 1,5 2 h min /C wed * 0 Figure

31、 3 Relative lubricant flow rate Q as a function of the relative bearing width, B/L, and the relative minimum lubricant film thickness, h min /C wed6 ISO 2013 All rights reserved ISO 12130-2:2013(E) Q 3 2 1,6 1,8 1,4 1,2 1 0,8 0,6 0,4 0,2 0,1 0,2 0,3 0,4 0,5 0,6 0,8 12 B/L=0,5 0,75 1 1,5 2 h min /C w

32、ed * 0 Figure 4 Relative lubricant flow rate Q as a function of the relative bearing width, B/L, and the relative minimum lubricant film thickness, h min /C wed ISO 2013 All rights reserved 7 ISO 12130-2:2013(E) Table 3 Values to Figure 3 h min /C wedB/L2 1,5 1 0,75 0,52,000 0,643 5 0,657 1 0,678 6

33、0,696 0 0,715 21,000 0,765 5 0,796 0 0,847 3 0,884 3 0,927 00,667 0,876 0 0,925 3 1,008 1,068 1,1370,500 0,979 5 1,049 1,165 1,249 1,3450,333 1,173 1,283 1,470 1,607 1,7610,250 1,362 1,510 1,769 1,960 2,1740,200 1,544 1,731 2,063 2,311 2,588 Table 4 Values to Figure 4 h min /C wedB/L2 1,5 1 0,75 0,5

34、2,000 0,064 75 0,086 07 0,122 3 0,147 7 0,178 11,000 0,129 4 0,172 4 0,246 2 0,297 2 0,357 60,667 0,194 6 0,259 5 0,370 7 0,447 9 0,539 00,500 0,259 8 0,347 1 0,496 4 0,600 1 0,721 40,333 0,390 8 0,522 8 0,750 0 0,907 7 1,0910,250 0,522 0 0,699 3 1,006 1,219 1,4630,200 0,653 5 0,876 0 1,263 1,531 1,

35、838 3.5 Relative pressure centre coordinate or tilting pad supporting point a as a function of the relative bearing width, B/L, and the relative minimum lubricant film thickness, h min /C wed Approximation of the curves of Figure 5: : (14) Permissible input values: 8 ISO 2013 All rights reserved ISO

36、 12130-2:2013(E) Permissible values for calculation: a F 0,75 0,65 0,7 0,6 0,55 0,5 0,1 0,2 0,3 0,4 0,5 0,6 0,8 12 B/L=0,5 0,75 1 1,5 2 h min /C wed * Figure 5 Relative coordinate of the pressure centre or supporting point in the direction of motion (circumferential direction), a , as a function of

37、the relative bearing width, B/L, and the relative minimum lubricant film thickness, h min /C wed Table 5 Values to Figure 5 h min /C wed B/L 2 1,5 1 0,75 0,5 2,000 0,543 1 0,544 6 0,548 3 0,552 2 0,559 7 1,000 0,573 0 0,575 6 0,581 8 0,588 3 0,600 5 0,667 0,595 5 0,599 0 0,606 9 0,615 2 0,630 7 0,50

38、0 0,613 2 0,617 4 0,626 8 0,636 4 0,654 1 0,333 0,639 7 0,645 1 0,656 7 0,667 9 0,688 5 0,250 0,658 6 0,665 2 0,678 3 0,690 6 0,712 7 0,200 0,672 9 0,680 4 0,695 0 0,707 8 0,730 9 ISO 2013 All rights reserved 9 ISO 12130-2:2013(E) 4 Effective dynamic viscosity of the lubricant, eff , as a function o

39、f the effective lubricant film temperature, T eff For liquid lubricants, the Reference 4 formula is generally applicable: (15) For mineral oils, this formula can be completed with sufficient accuracy by the constant K 3= 95 C according to Reference 5. Reference 6 shows that the operational viscosity, , for mineral oils can also be calculated directly from the ISO viscosity grade (VG). With density, , in kg/m 3 , it results in Formula (16):