Abstract
Wormgear drives are used to transmit power and motion between shafts whose axes are neither parallel nor intersecting. A worm gearset is composed of a worm that resembles a power screw, in mesh with a wormgear having a similar appearance as a helical gear. Worm gearing are often used for applications in which the speed ratios are quite high (up to 360). In this chapter, we introduce graphical methods for easy design of worm gear drives.
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Abbreviations
- a :
-
Center distance, mm
- \(b_{1}\) :
-
Length of worm, mm
- \(b_{2}\) :
-
Face width of wormgear, mm
- \(d_{G}\) :
-
Pitch diameter of wormgear, mm
- \(d_{w}\) :
-
Pitch diameter of worm, mm
- \(d\) :
-
Shaft diameter, mm
- HB :
-
Brinell hardness scale
- \(K_{s}\) :
-
A material related coefficient forermining the pitch diameter of wormgears
- \(m\) :
-
Module of wormgear, mm
- \(n_{1}\) :
-
Rotational speed of worm, rpm
- \(n_{2}\) :
-
Rotational speed of wormgear, rpm
- \(T_{1}\) :
-
Torque on worm, N.m
- \(T_{2}\) :
-
Torque on wormgear, N.m
- u :
-
Gear ratio, speed ratio
- v :
-
Pitch line velocity, m/s
- \(z_{1}\) :
-
Number of worm threads
- \(z_{2}\) :
-
Number of wormgear teeth
- \(\sigma_{H}\) :
-
Allowable contact stress, MPa
- φ :
-
Ratio of pitch diameter of worm to center distance
References
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Yaghoubi, M., Tavakoli, H. (2022). Wormgear Drives. In: Mechanical Design of Machine Elements by Graphical Methods. Materials Forming, Machining and Tribology. Springer, Cham. https://doi.org/10.1007/978-3-031-04329-1_21
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DOI: https://doi.org/10.1007/978-3-031-04329-1_21
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Publisher Name: Springer, Cham
Print ISBN: 978-3-031-04328-4
Online ISBN: 978-3-031-04329-1
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