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Investigation of the effect of pressure angle on gear performance in asymmetric gears

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Abstract

In this study, asymmetric gear mechanisms having the same working conditions, material and dimensions as symmetric gears but with different pressure angles were designed and compared with symmetric gear mechanism. The effect of the change in pressure angle and profile crowning has been studied in two spur gear pairs with different tooth numbers. First of all, symmetrical and asymmetrical gear geometries were created to meet the specified boundary conditions. Unlike other studies, contact stress, specific sliding, flash temperature, contact temperature, transmission error and gear mesh efficiency, which affect gear life and performance, have been investigated simultaneously with the change in load bearing capacity. The asymmetric gear design and profile crowning improved the factors effecting performance. Profile crowning has been shown that significantly reduces transmission error at all pressure angles. Furthermore it has been seen that is efective at low pressure angle in reduction of spesific sliding, flash temperature and contact temperature As a result of the change in the tooth profile by increasing the pressure angle, it was observed that the load bearing capacity, performance, life, efficiency and reliability increased in the asymmetric gear mechanisms with the same gear main dimensions as the symmetrical gears.

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Abbreviations

ac :

Addendum of cutter tooth

bh :

Semi-width of Hertzian contact band (mm)

BM :

Thermal contact coefficient(N/[mms0.5 K])

Ca :

Tooth tip crowning

Cf :

Tooth root crowning

d:

Pitch diameter (mm)

df :

Tooth root diameter (mm)

da :

Tooth tip diameter (mm)

db :

Base diameter (mm)

dFf :

Root form diameter (mm)

dnf :

Active root diameter (mm)

E:

Efficiency

Fd :

Drive load (N)

Ft :

Tangential Load (N)

Hs :

Specific sliding velocity at start of approach action(m/s)

Ht :

Specific sliding velocity at end of recess action(m/s)

ksump :

Lubricant factor

K:

Flash temperature constant

KA :

Application factor

\({\text{K}}_{\text{H} \upalpha}\) :

Transverse load factor

\({\text{K}}_{\text{H}\upbeta}\) :

Face load factor

KV :

Dynamic factor

rt :

Radius of rounded tip corner of cutter tooth

R:

Pitch radius of gear blank

t:

Face width (mm)

u:

Gear ratio

Vsa :

Sliding velocity at the tip (m/s)

Vsnf :

Sliding velocity at the active root (m/s)

Vta :

Tangential velocity at the tip (m/s)

Vtnf :

Tangential velocity at the active root (m/s)

wn :

Normal unit load (N/mm)

XA, YA :

Cartesian coordinates of point A

XD, YD :

Cartesian coordinates of point D

Xr :

Load sharing factor

Z:

Number of teeth

Zb,d :

Single tooth contact factor

ZE :

Elasticity factor (√N/mm2)

ZH :

Zone factor

\({\text{Z}}_{\upvarepsilon}\) :

Contact ratio factor

\({\text{Z}}_{\upbeta}\) :

Helix angle factor

α :

Pressure angle (Degree)

\({\upalpha}_{\text{HPSTC}}\) :

Load angle (Degree)

β :

Construction angle (Degree)

v :

Profile angle in the intersection (tip) point of the two involutes (Degree)

\({\varphi }_{1}\) :

Drive gear rotation angle (Degree)

\({\varphi }_{2}\) :

Driven gear rotation angle (Degree)

∅ :

Coordinate angle at the involute (Degree)

\(\upvarepsilon\) α :

Contact ratio

\(\upxi\) a :

Specific sliding at the tip

\({\xi }_{\text{nf}}\) :

Specific sliding at the active root

\(\mu\) :

Coefficient of friction

ψ :

Angle of motion (Degree)

\({\sigma }_{\text{H}}\) :

Contact stress (N/mm2)

\({\sigma }_{\text{H0}}\) :

Nominal Contact stress (N/mm2)

\({\theta }_{\text{B}}\) :

Contact temperature (°C)

\({\theta }_{\text{fl}}\) :

Flash temperature (°C)

\({\theta }_{\text{fl max}}\) :

Maximum flash temperature (°C)

\({\theta }_{\text{M}}\) :

Tooth temperature (°C)

\({\theta }_{\text{oil}}\) :

Oil supply or sump temperature (°C)

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Authors and Affiliations

  1. R&D Department, Blue Ascend Hydraulics Inc., Konya, 42000, Turkey

    Ali Keçici

  2. Department of Industrial Design, Istanbul Commerce University, Istanbul, Turkey

    Ali Ünüvar

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  1. Ali Keçici
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  2. Ali Ünüvar
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Correspondence to Ali Keçici.

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Keçici, A., Ünüvar, A. Investigation of the effect of pressure angle on gear performance in asymmetric gears. Meccanica 56, 2919–2933 (2021). https://doi.org/10.1007/s11012-021-01430-3

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