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eLibrary > BS ISO 10828:2024 Worm gears. Worm profiles and gear mesh geometry >

BS ISO 10828:2024 Worm gears. Worm profiles and gear mesh geometry, 2024

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Foreword
Introduction
1 Scope
2 Normative references
3 Terms and definitions
4 Symbols and abbreviated terms
5 Formulae for calculation of dimensions [Go to Page]
5.1 Parameters for a cylindrical worm [Go to Page]
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
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
5.1.14 Tip diameter
5.1.15 Root diameter
5.1.16 Thread thickness coefficient
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
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
5.1.28 Right flank and left flank
5.1.29 Flank definition
5.1.30 Root form and tip form diameter for worm
5.2 Parameters for a worm wheel [Go to Page]
5.2.1 General
5.2.2 Reference diameter
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
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
5.2.16 Throat form radius
5.2.17 Root form and tip diameter for worm wheel
5.3 Meshing parameters [Go to Page]
5.3.1 Centre distance
5.3.2 Pitch diameter of worm wheel
5.3.3 Pitch diameter of worm
5.3.4 Worm gear ratio
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
6 Generalities on worm profile types [Go to Page]
6.1 Worm profile types, see Table 4
6.2 Conventions relative to the formulae of this document
7 Definition of profile types [Go to Page]
7.1 General
7.2 A worm profile type [Go to Page]
7.2.1 Geometrical definition
7.2.2 Machining methods
7.3 I worm profile type [Go to Page]
7.3.1 Geometrical definition
7.3.2 Machining methods
7.4 N worm profile type [Go to Page]
7.4.1 Geometrical definition
7.4.2 Machining methods
7.5 General formulae for A, I and N profile types
7.6 K worm profile type [Go to Page]
7.6.1 Geometrical definition and method
7.7 C worm profile type [Go to Page]
7.7.1 Geometrical definition
7.7.2 General formulae for C and K profiles
7.8 General formula of the axial profile [Go to Page]
7.8.1 General
7.8.2 Derivative of pressure angle for all profile types
7.9 Algorithm to initialize the calculation
8 Useful section planes [Go to Page]
8.1 General
8.2 Axial plane and axial section
8.3 Offset plane and offset section
8.4 Transverse plane and transverse section
8.5 Normal plane and normal section
8.6 Point of the worm surface in an offset plane: offset profile of worm
9 Pitch surfaces
10 Conjugate worm wheel profile [Go to Page]
10.1 General
10.2 Path of contact
10.3 Worm wheel profile conjugate with worm profile
10.4 Trochoid (or fillet) at root of the worm wheel
10.5 Equivalent radius of curvature in an offset plane [Go to Page]
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
10.5.3 Equivalent radius of curvature in an offset plane
10.6 Singularities of worm gear mesh [Go to Page]
10.6.1 Point of zero pressure angle
10.6.2 Loss of contact
10.6.3 Cusp
11 Geometry of contact [Go to Page]
11.1 General
11.2 Tangent plane at point of contact
11.3 Normal plane at point of contact
11.4 Zone of contact
11.5 Lines of contact
11.6 Contact ratio
11.7 Tangent vector to the line of contact
11.8 Normal plane at point of contact
11.9 Principal equivalent radius of curvature
11.10 Calculation of the path of contact and zone of contact
11.11 Calculation of line of contact
12 Velocities at contact point [Go to Page]
12.1 Velocity of a point of worm
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
12.5 Velocity of the contact point along the path of contact
12.6 Velocity of the point of contact
Annex A (informative) Parameters and derivatives of formulae for A, I, N profile types
Annex B (informative) Parameters and derivatives of formulae for K and C profile types
Annex C (informative) Algorithm to determine the point of generations of worm and worm wheel
Annex D (informative) Comparison of different worm profile types
Annex E (informative) Comparison of singularities for different worm profile types
Annex F (informative) Comparison of gear mesh for different worm profile types
Annex G (informative) Utilisation of existing tooling for machining of worm wheel teeth
Annex H (informative) Interface for geometry for involute worms defined with ISO 21771-1
Bibliography [Go to Page]

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