BS ISO 9083-2001 Calculation of load capacity of spur and helical gears - Application to marine gears《正齿轮和斜齿轮的负载能力的计算 船用齿轮的应用》.pdf

1、BRITISH STANDARD BS ISO 9083:2001 Calculation of load capacity of spur and helical gears Application to marine gears ICS 21.200 NO COPYING WITHOUT BSI PERMISSION EXCEPT AS PERMITTED BY COPYRIGHT LAWBS ISO 9083:2001 This British Standard, having been prepared under the direction of the Engineering Se

2、ctor Policy and Strategy Committee, was published under the authority of the Standards Policy and Strategy Committee and comes into effect on 25 September 2001 BSI 25 September 2001 ISBN 0 580 38492 6 National foreword This British Standard reproduces verbatim ISO 9083:2001 and implements it as the

3、UK national standard. The UK participation in its preparation was entrusted to Technical Committee MCE/5, Gears, which has the responsibility to: A list of organizations represented on this committee can be obtained on request to its secretary. Cross-references The British Standards which implement

4、international or European publications referred to in this document may be found in the BSI Standards Catalogue under the section entitled “International Standards Correspondence Index”, or by using the “Find” facility of the BSI Standards Electronic Catalogue. A British Standard does not purport to

5、 include all the necessary provisions of a contract. Users of British Standards are responsible for their correct application. Compliance with a British Standard does not of itself confer immunity from legal obligations. aid enquirers to understand the text; present to the responsible international/

6、European committee any enquiries on the interpretation, or proposals for change, and keep the UK interests informed; monitor related international and European developments and promulgate them in the UK. Summary of pages This document comprises a front cover, an inside front cover, the ISO title pag

7、e, pages ii to vi, pages 1 to 58, an inside back cover and a back cover. The BSI copyright date displayed in this document indicates when the document was last issued. Amendments issued since publication Amd. No. Date CommentsReference number ISO 9083:2001(E) INTERNATIONAL STANDARD ISO 9083 First ed

8、ition 2001-07-15 Calculation of load capacity of spur and helical gears Application to marine gears Calcul de la capacit de charge des engrenages cylindriques dentures droite et hlicodale Application aux engrenages marinsISO 9083:2001(E) ii ISO 9083:2001(E) ISO 1002 All rights rsedevre iii Contents

9、Page Forewordv Introductionvi 1 Scope 1 2 Normative references 1 3 Terms, definitions and symbols.2 4 Application .7 4.1 Design, specific applications .7 4.2 Safety factors .9 4.3 Input data9 4.4 Numerical equations .10 5 Influence factors 10 5.1 General10 5.2 Nominal tangential load, F t , nominal

10、torque, T, nominal power, P10 5.3 Non-uniform load, non-uniform torque, non-uniform power 11 5.4 Maximum tangential load, F tm a x , maximum torque, T max , maximum power, P max 11 5.5 Application factor, K A 11 5.6 Internal dynamic factor, K v .11 5.7 Face load factor, K H .16 5.8 Face load factor,

11、 K F 24 5.9 Transverse load factors, K H , K F 25 6 Calculation of surface durability (pitting) .26 6.1 Basic formulae .26 6.2 Single pair tooth contact factors, Z B , Z D 28 6.3 Zone factor, Z H .29 6.4 Elasticity factor, Z E 29 6.5 Contact ratio factor, Z 29 6.6 Helix angle factor, Z .30 6.7 Allow

12、able stress numbers (contact), Hlim .30 6.8 Influences on lubrication film formation, Z L , Z v and Z R .30 6.9 Work hardening factor, Z w 33 6.10 Size factor, Z X .33 7 Calculation of tooth bending strength 33 7.1 Basic formulae .33 7.2 Form factor, Y F .35 7.3 Stress correction factor, Y S 39 7.4

13、Helix angle factor, Y .40 7.5 Tooth-root reference strength, FE 40 7.6 Relative notch sensitivity factor, Y rel T 40 7.7 Relative surface factor, Y Rr e lT .41 7.8 Size factor, Y X .42 Annex A (normative) Tooth stiffness parameters c and c .43 Annex B (normative) Special features of less common gear

14、 designs 46ISO 9083:2001(E) iv ISO 1002 All rights rsedevre Annex C (informative) Guide values for application factor, K A 51 Annex D (informative) Guide values for crowning and end relief of teeth of cylindrical gears 52 Annex E (informative) Check and interpretation of tooth contact pattern 55 Bib

15、liography 58ISO 9083:2001(E) ISO 1002 All rights rsedevre v 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 commit

16、tees. 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 In

17、ternational Electrotechnical Commission (IEC) on all matters of electrotechnical standardization. International Standards are drafted in accordance with the rules given in the ISO/IEC Directives, Part 3. Draft International Standards adopted by the technical committees are circulated to the member b

18、odies for voting. Publication as an International Standard requires approval by at least 75 % of the member bodies casting a vote. Attention is drawn to the possibility that some of the elements of this International Standard may be the subject of patent rights. ISO shall not be held responsible for

19、 identifying any or all such patent rights. International Standard ISO 9083 was prepared by Technical Committee ISO/TC 60, Gears, Subcommittee SC 2, Gear capacity calculation. Annexes A and B form a normative part of ISO 9083. Annexes C to E are for information only.ISO 9083:2001(E) vi ISO 1002 All

20、rights rsedevre Introduction Procedures for the calculation of the load capacity of general spur and helical gears with respect to pitting and bending strength appear in ISO 6336-1, ISO 6336-2, ISO 6336-3 and ISO 6336-5. This International Standard is derived from ISO 6336-1, ISO 6336-2 and ISO 6336

21、-3 by the use of specific methods and assumptions considered to be applicable to marine gears. Its application requires the use of allowable stresses and material requirements that are to be found in ISO 6336-5.INTERNATIONAL STANDARD ISO 9083:2001(E) ISO 1002 All rights rsedevre 1 Calculation of loa

22、d capacity of spur and helical gears Application to marine gears 1 Scope The formulae specified in this International Standard are intended for the establishment of a uniformly acceptable method for calculating the pitting resistance and bending strength capacity for the endurance of the main- propu

23、lsion and auxiliary gears of ships, offshore vessels and drilling rigs, having straight or helical teeth and subject to the rules of classification societies. The rating formulae in this International Standard are not applicable to other types of gear tooth deterioration, such as plastic yielding, m

24、icropitting, scuffing, case crushing, welding and wear, and are not applicable under vibratory conditions where there may be an unpredictable profile breakdown. The bending strength formulae are applicable to fractures at the tooth fillet, but are not applicable to fractures on the tooth working pro

25、file surfaces, failure of the gear rim, or failures of the gear blank through web and hub. This International Standard does not apply to teeth finished by forging or sintering. This standard is not applicable to gears having a poor contact pattern. This International Standard provides a method by wh

26、ich different gear designs can be compared. It is not intended to assure the performance of assembled drive gear systems. It is not intended for use by the general engineering public. Instead, it is intended for use by the experienced gear designer who is capable of selecting reasonable values for t

27、he factors in these formulae based on knowledge of similar designs and awareness of the effects of the items discussed. WARNING The user is cautioned that the calculated results of this International Standard should be confirmed by experience. 2 Normative references The following normative documents

28、 contain provisions which, through reference in this text, constitute provisions of this International Standard. For dated references, subsequent amendments to, or revisions of, any of these publications do not apply. However, parties to agreements based on this International Standard are encouraged

29、 to investigate the possibility of applying the most recent editions of the normative documents indicated below. For undated references, the latest edition of the normative document referred to applies. Members of ISO and IEC maintain registers of currently valid International Standards. ISO 53:1998

30、, Cylindrical gears for general and heavy engineering Standard basic rack tooth profile. ISO 54:1996, Cylindrical gears for general engineering and for heavy engineering Modules. ISO 701:1998, International gear notation Symbols for geometrical data. ISO 1122-1:1998, Vocabulary of gear terms Part 1:

31、 Definitions related to geometry. ISO 1328-1:1995, Cylindrical gears ISO system of accuracy Part 1: Definitions and allowable values of deviations relevant to corresponding flanks of gear teeth. ISO 6336-1:1996, Calculation of load capacity of spur and helical gears Part 1: Basic principles, introdu

32、ction and general influence factors.ISO 9083:2001(E) 2 ISO 1002 All rights rsedevre ISO 6336-2:1996, Calculation of load capacity of spur and helical gears Part 2: Calculation of surface durability (pitting). ISO 6336-3:1996, Calculation of load capacity of spur and helical gears Part 3: Calculation

33、 of tooth bending strength. ISO 6336-5:1996, Calculation of load capacity of spur and helical gears Part 5: Strength and quality of material. ISO/TR 10495:1997, Cylindrical gears Calculation of service life under variable loads Conditions for cylindrical gears according to ISO 6336. 3 Terms, definit

34、ions and symbols For the purposes of this International Standard, the terms and definitions given in ISO 1122-1 apply. For symbols, se eTa b l e1.ISO 9083:2001(E) ISO 1002 All rights rsedevre 3 Table 1 Symbols and abbreviations used in this International Standard Symbol Description or term Unit a ce

35、ntre distance a mm b facewidth mm b B facewidth of an individual helix of a double helical gear mm c mean value of mesh stiffness per unit facewidth N/(mm m) c maximum tooth stiffness of one pair of teeth per unit facewidth (single stiffness) N/(mm m) d 1,2 reference diameter of pinion, wheel mm d a

36、1,2 tip diameter of pinion, wheel mm d b1,2 base diameter of pinion, wheel mm d f1,2 root diameter of pinion, wheel mm d sh shaft nominal diameter for bending mm d shi internal diameter of hollow shaft mm d w1,2 working pitch diameter of pinion, wheel mm d Na1,2 diameter of a circle defining the out

37、er extremities of the usable flanks of tip chamfered/rounded gear teeth mm f H tooth alignment deviation (not including helix form deviation) m f ma mesh misalignment due to manufacturing deviations m f pb transverse base pitch deviation (the values of f pt may be used for calculation in accordance

38、with ISO 6336-1, using tolerances complying with ISO 1328-1) m f sh helix deviation due to elastic deflections m g length of path of contact mm h tooth depth mm h aP addendum of basic rack of cylindrical gears mm h fP dedendum of basic rack of cylindrical gears mm h Fe bending moment arm for load ap

39、plication at the outer point of single pair tooth contact mm l bearing span mm m* relative individual gear mass per unit facewidth referenced to line of action kg/mm m n normal module mm m red reduced gear pair mass per unit facewidth referenced to the line of action kg/mm m t transverse module mm n

40、 1,2 rotation speed of pinion, of wheel min 1 n E resonance speed min 1 p bn normal base pitch mmISO 9083:2001(E) 4 ISO 1002 All rights rsedevre Table 1 (Continued) Symbol Description or term Unit p bt transverse base pitch mm pr protuberance of the tool mm q finishing stock allowance of tooth flank

41、 mm q s notch parameter s Fn /2 F s tooth thickness mm s Fn tooth-root chord at the critical section mm s R rim thickness mm u gear ratio a u = z 2 /z 1 W 1 v tangential speed (without subscript: at reference circle tangential speed at pitch circle) m/s v p velocity parameter x 1,2 profile shift coe

42、fficient of pinion, wheel y running-in allowance for a gear pair m y running-in allowance (equivalent misalignment) m z n virtual number of teeth of a helical gear z 1,2 number of teeth of pinion, of wheel a A auxiliary value for the determination of f sh mm m/N B total facewidth of a double helical

43、 gear including the gap mm C a tip relief m C B basic rack factor (same rack for pinion and wheel) C R gear blank factor E modulus of elasticity, Youngs modulus N/mm 2 F m the mean transverse load at the reference cylinder ( = F t K A K v ) N F t (nominal) transverse tangential load at reference cyl

44、inder N F tH the determinant transverse load at the reference cylinder ( = F t K A K v K H)N F total helix deviation m F x initial equivalent misalignment (before running-in) m F y initial equivalent misalignment (after running-in) m K v dynamic factor K A application factor K F transverse load fact

45、or (root stress) ISO 9083:2001(E) ISO 1002 All rights rsedevre 5 Table 1 (Continued) Symbol Description or term Unit K F face load factor (root stress) K H transverse load factor (contact stress) K H face load factor (contact stress) K mesh load factor (takes into account the uneven distribution of

46、the load between meshes for multiple transmission paths) M 1,2 auxiliary values for the determination of Z B,D N L number of cycles N S resonance ratio in the main resonance range P transmitted power kW Ra arithmetic mean roughness value (as specified in ISO 4287) m Rz mean peak-to-valley roughness

47、(as specified in ISO 4287) m S F factor of safety from tooth breakage S Fmin minimum safety factor (tooth breakage) S H factor of safety from pitting S Hmin minimum safety factor (pitting) T 1,2 pinion torque, wheel torque; (nominal) Nm Y F tooth form factor Y Rr e lT relative surface factor Y S str

48、ess correction factor Y X size factor (tooth-root) Y helix angle factor (tooth-root) Y rel T relative notch sensitivity factor Z v speed factor Z B,D single pair tooth contact factors for the pinion, for the wheel Z E elasticity factor 2 N/mm Z H zone factor Z L lubricant factor Z R roughness factor

49、 affecting surface durability Z W work-hardening factor Z X size factor (pitting) Z helix angle factor (pitting) Z contact ratio factor (pitting) ISO 9083:2001(E) 6 ISO 1002 All rights rsedevre Table 1 (Continued) Symbol Description or term Unit n normal pressure angle t transverse pressure angle wt transverse pressure angle at the working p