BS-ISO-23509-2006.pdf
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1、BRITISH STANDARD BS ISO 23509:2006 Bevel and hypoid gear geometry ICS 21.200 ? Licensed Copy: sheffieldun sheffieldun, na, Sun Nov 26 06:42:58 GMT+00:00 2006, Uncontrolled Copy, (c) BSI BS ISO 23509:2006 This British Standard was published under the authority of the Standards Policy and Strategy Com
2、mittee on 31 October 2006 BSI 2006 ISBN 0 580 47082 2 National foreword This British Standard was published by BSI. It is the UK implementation of ISO 23509:2006. The UK participation in its preparation was entrusted to Technical Committee MCE/5, Gears. A list of organizations represented on MCE/5 c
3、an be obtained on request to its secretary. This publication does not purport to include all the necessary provisions of a contract. Users are responsible for its correct application. Compliance with a British Standard cannot confer immunity from legal obligations. Amendments issued since publicatio
4、n Amd. No. DateComments Licensed Copy: sheffieldun sheffieldun, na, Sun Nov 26 06:42:58 GMT+00:00 2006, Uncontrolled Copy, (c) BSI Reference number ISO 23509:2006(E) INTERNATIONAL STANDARD ISO 23509 First edition 2006-09-01 Bevel and hypoid gear geometry Gomtrie des engrenages coniques et hypodes BS
5、 ISO 23509:2006 Licensed Copy: sheffieldun sheffieldun, na, Sun Nov 26 06:42:58 GMT+00:00 2006, Uncontrolled Copy, (c) BSI ii Licensed Copy: sheffieldun sheffieldun, na, Sun Nov 26 06:42:58 GMT+00:00 2006, Uncontrolled Copy, (c) BSI iii Contents Page Foreword. v Introduction. vi 1 Scope . 1 2 Normat
6、ive references. 1 3 Terms, definitions and symbols 1 3.1 Terms and definitions. 6 3.2 Symbols. 8 4 Design considerations . 10 4.1 General. 10 4.2 Types of bevel gears 11 4.2.1 Straight bevels 11 4.2.2 Spiral bevels 11 4.2.3 Zerol bevels. 11 4.2.4 Hypoids 12 4.3 Ratios. 12 4.4 Hand of spiral 12 4.5 P
7、reliminary gear size 13 5 Tooth geometry and cutting considerations . 13 5.1 Manufacturing considerations 13 5.2 Tooth taper 13 5.3 Tooth depth configurations. 15 5.3.1 Taper depth . 15 5.3.2 Uniform depth . 16 5.4 Dedendum angle modifications 18 5.5 Cutter radius 18 5.6 Mean radius of curvature. 18
8、 5.7 Hypoid design . 19 5.8 Most general type of gearing. 19 5.9 Hypoid geometry. 20 5.9.1 Basics 20 5.9.2 Crossing point. 22 6 Pitch cone parameters . 22 6.1 Initial data 22 6.2 Determination of pitch cone parameters for bevel and hypoid gears. 23 6.2.1 Method 0 23 6.2.2 Method 1 23 6.2.3 Method 2
9、27 6.2.4 Method 3 32 7 Gear dimensions. 35 7.1 Additional data 35 7.2 Determination of basic data. 37 7.3 Determination of tooth depth at calculation point 39 7.4 Determination of root angles and face angles. 39 7.5 Determination of pinion face width, b1. 41 7.6 Determination of inner and the outer
10、spiral angles 43 7.6.1 Pinion. 43 7.6.2 Wheel 44 7.7 Determination of tooth depth 45 BS ISO 23509:2006 Licensed Copy: sheffieldun sheffieldun, na, Sun Nov 26 06:42:58 GMT+00:00 2006, Uncontrolled Copy, (c) BSI iv 7.8 Determination of tooth thickness46 7.9 Determination of remaining dimensions 47 8 U
11、ndercut check .48 8.1 Pinion .48 8.2 Wheel50 Annex A (informative) Structure of ISO formula set for calculation of geometry data of bevel and hypoid gears52 Annex B (informative) Pitch cone parameters.58 Annex C (informative) Gear dimensions 68 Annex D (informative) Analysis of forces 75 Annex E (in
12、formative) Machine tool data .78 Annex F (informative) Sample calculations .79 BS ISO 23509:2006 Licensed Copy: sheffieldun sheffieldun, na, Sun Nov 26 06:42:58 GMT+00:00 2006, Uncontrolled Copy, (c) BSI v Foreword ISO (the International Organization for Standardization) is a worldwide federation of
13、 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. Int
14、ernational 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. International Standards are drafted in accordance with t
15、he rules given in the ISO/IEC Directives, Part 2. The main task of technical committees is to prepare International Standards. Draft International Standards adopted by the technical committees are circulated to the member bodies for voting. Publication as an International Standard requires approval
16、by at least 75 % of the member bodies casting a vote. 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. ISO 23509 was prepared by Technical Committee I
17、SO/TC 60, Gears, Subcommittee SC 2, Gear capacity calculation. BS ISO 23509:2006 Licensed Copy: sheffieldun sheffieldun, na, Sun Nov 26 06:42:58 GMT+00:00 2006, Uncontrolled Copy, (c) BSI vi Introduction For many decades, information on bevel, and especially hypoid, gear geometry has been developed
18、and published by the gear machine manufacturers. It is clear that the specific formulas for their respective geometries were developed for the mechanical generation methods of their particular machines and tools. In many cases, these formulas could not be used in general for all bevel gear types. Th
19、is situation changed with the introduction of universal, multi-axis, CNC-machines, which in principle are able to produce nearly all types of gearing. The manufacturers were, therefore, asked to provide CNC programs for the geometries of different bevel gear generation methods on their machines. Thi
20、s International Standard integrates straight bevel gears and the three major design generation methods for spiral bevel gears into one complete set of formulas. In only a few places do specific formulas for each method have to be applied. The structure of the formulas is such that they can be progra
21、mmed directly, allowing the user to compare the different designs. The formulas of the three methods are developed for the general case of hypoid gears and calculate the specific case of spiral bevel gears by entering zero for the hypoid offset. Additionally, the geometries correspond such that each
22、 gear set consists of a generated or non-generated wheel without offset and a pinion which is generated and provided with the total hypoid offset. An additional objective of this International Standard is that on the basis of the combined bevel gear geometries an ISO hypoid gear rating system can be
23、 established in the future. BS ISO 23509:2006 Licensed Copy: sheffieldun sheffieldun, na, Sun Nov 26 06:42:58 GMT+00:00 2006, Uncontrolled Copy, (c) BSI 1 Bevel and hypoid gear geometry 1 Scope This International Standard specifies the geometry of bevel gears. The term bevel gears is used to mean st
24、raight, spiral, zerol bevel and hypoid gear designs. If the text pertains to one or more, but not all, of these, the specific forms are identified. The manufacturing process of forming the desired tooth form is not intended to imply any specific process, but rather to be general in nature and applic
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