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BS ISO 10828:2024

BS ISO 10828:2024

$215.11

Worm gears. Worm profiles and gear mesh geometry

Published By Publication Date Number of Pages
BSI 2024 122
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PDF Catalog

PDF Pages PDF Title
2 undefined
8 Foreword
9 Introduction
11 1 Scope
2 Normative references
3 Terms and definitions
12 4 Symbols and abbreviated terms
16 5 Formulae for calculation of dimensions
5.1 Parameters for a cylindrical worm
5.1.1 Axial pitch
5.1.2 Axial module
5.1.3 Lead
5.1.4 Unit lead
5.1.5 Diameter quotient
5.1.6 Reference lead angle
5.1.7 Reference helix angle
5.1.8 Normal pitch on reference cylinder
17 5.1.9 Normal module
5.1.10 Reference diameter
5.1.11 Reference tooth depth
5.1.12 Reference addendum
5.1.13 Reference dedendum
18 5.1.14 Tip diameter
5.1.15 Root diameter
5.1.16 Thread thickness coefficient ļæ¼
5.1.17 Reference thread thickness in the axial section
5.1.18 Reference space width in the axial section
5.1.19 Normal thread thickness
5.1.20 Normal space width
5.1.21 Profile flank form
19 5.1.22 Normal pressure angle
5.1.23 Base lead angle for profile type I
5.1.24 Base diameter for profile type I
5.1.25 Normal pitch on base cylinder
5.1.26 Worm face width
5.1.27 Right-hand helix and left-hand helix
20 5.1.28 Right flank and left flank
5.1.29 Flank definition
5.1.30 Root form and tip form diameter for worm
21 5.2 Parameters for a worm wheel
5.2.1 General
5.2.2 Reference diameter
22 5.2.3 Transverse pitch
5.2.4 Transverse tooth thickness at reference diameter
5.2.5 Space width at reference diameter
5.2.6 Profile shift coefficient
5.2.7 Tooth reference addendum
5.2.8 Tooth reference dedendum
5.2.9 Tooth depth
23 5.2.10 Outside addendum
5.2.11 Root diameter
5.2.12 Tip diameter
5.2.13 Outside diameter
5.2.14 Minimum and maximum outside diameter
5.2.15 Worm wheel face width
24 5.2.16 Throat form radius
5.2.17 Root form and tip diameter for worm wheel
25 5.3 Meshing parameters
5.3.1 Centre distance
26 5.3.2 Pitch diameter of worm wheel
5.3.3 Pitch diameter of worm
5.3.4 Worm gear ratio
27 5.3.5 Contact ratio
5.3.6 Tip clearance
5.3.7 Start of active profile (SAP) and end of active profile (EAP) diameters for worm and worm wheel
28 6 Generalities on worm profile types
6.1 Worm profile types, see Table 4
6.2 Conventions relative to the formulae of this document
29 7 Definition of profile types
7.1 General
30 7.2 A worm profile type
7.2.1 Geometrical definition
7.2.2 Machining methods
31 7.3 I worm profile type
7.3.1 Geometrical definition
32 7.3.2 Machining methods
35 7.4 N worm profile type
7.4.1 Geometrical definition
36 7.4.2 Machining methods
37 7.5 General formulae for A, I and N profile types
38 7.6 K worm profile type
7.6.1 Geometrical definition and method
40 7.7 C worm profile type
7.7.1 Geometrical definition
43 7.7.2 General formulae for C and K profiles
46 7.8 General formula of the axial profile
7.8.1 General
7.8.2 Derivative of pressure angle for all profile types
7.9 Algorithm to initialize the calculation
47 8 Useful section planes
8.1 General
8.2 Axial plane and axial section
8.3 Offset plane and offset section
48 8.4 Transverse plane and transverse section
8.5 Normal plane and normal section
49 8.6 Point of the worm surface in an offset plane: offset profile of worm
50 9 Pitch surfaces
52 10 Conjugate worm wheel profile
10.1 General
10.2 Path of contact
54 10.3 Worm wheel profile conjugate with worm profile
56 10.4 Trochoid (or fillet) at root of the worm wheel
58 10.5 Equivalent radius of curvature in an offset plane
59 10.5.1 Curvature for the worm at a point in an offset plane
10.5.2 Curvature for the worm wheel at a point in an offset plane
61 10.5.3 Equivalent radius of curvature in an offset plane
10.6 Singularities of worm gear mesh
10.6.1 Point of zero pressure angle
62 10.6.2 Loss of contact
63 10.6.3 Cusp
65 11 Geometry of contact
11.1 General
66 11.2 Tangent plane at point of contact
11.3 Normal plane at point of contact
67 11.4 Zone of contact
69 11.5 Lines of contact
73 11.6 Contact ratio
74 11.7 Tangent vector to the line of contact
76 11.8 Normal plane at point of contact
11.9 Principal equivalent radius of curvature
77 11.10 Calculation of the path of contact and zone of contact
11.11 Calculation of line of contact
78 12 Velocities at contact point
12.1 Velocity of a point of worm
79 12.2 Velocity of a point of worm wheel
12.3 Relative velocity between two conjugate flanks
12.4 Tangent to the path of contact
80 12.5 Velocity of the contact point along the path of contact
12.6 Velocity of the point of contact
81 Annex A (informative) Parameters and derivatives of formulae for A, I, N profile types
87 Annex B (informative) Parameters and derivatives of formulae for K and C profile types
99 Annex C (informative) Algorithm to determine the point of generations of worm and worm wheel
101 Annex D (informative) Comparison of different worm profile types
104 Annex E (informative) Comparison of singularities for different worm profile types
106 Annex F (informative) Comparison of gear mesh for different worm profile types
114 Annex G (informative) Utilisation of existing tooling for machining of worm wheel teeth
117 Annex H (informative) Interface for geometry for involute worms defined with ISO 21771-1
120 Bibliography

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BS ISO 10828:2024
$215.11