MZG Web Apps

Design of an NVH optimized gearing

With this web app, you can easily obtain a preliminary design for a cylindrical gear stage with respect to Noise-Vibration-Harshness (NVH) relevant parameters. Our free online tool represents the first step in the standard design process at MAHLE ZG Transmission. Based on this preliminary design, a load-bearing and production-ready macro geometry of the gearing can be developed.

How the App works: Enter the desired gear data into the form below and press Generate to update the plot of the transverse section. Click Download Step to get the 3D-Geometry in STEP exchange format.

You need help with a detailed gear design for your application? Our portfolio includes the development, design, calculation and testing of gears, gearboxes and transmission components. Contact us for a free consultation and a non-binding offer.

Theoretical background. The topic of Noise-Vibration-Harshness (NVH) is particularly important in the course of the electrification of the drivetrain. Noise excitation from gears results from fluctuations in the mesh stiffness as pinion and wheel rotate. The decisive parameter for smoothing the contact stiffness is the total contact ratio εγ, which results from the sum of transverse- and axial contact ratios: εγ = εα + εβ. The transverse contact ratio describes the average number of teeth actively engaged in the transverse section. The axial contact ratio describes the average number of teeth which are additionally in contact due to the helix angle β. Often, one aims at integer values for εα and εβ, because then, the theoretical sum of the lengths of all contact lines along the active flanks remains constant over time. As a rule of thumb, for total contact ratios εγ > 2.5 the influence of further increasing the contact ratio is only small. The helix angle β is calculated from the desired axial contact ratio and the gear width b. For a given axial contact ratio εβ the helix angle decreases with increasing gear width.

Disclaimer. Our tools are continuously developed and tested, but no guarantee can be granted for the accuracy of the results. Use is at your own risk. Please contact us if you suspect any errors.

Gearing data

Center distance

a

[mm]

Working pressure angle

αwt

[ ° ]

Transverse contact ratio

εα

[ - ]

Axial contact ratio

εβ

[ - ]

Number of teeth

z

[ - ]

Gear width

b

[mm]

Gear hand

[ - ]

Gearing Protocol

Gear ratio

u

-

[ - ]

Transverse module

mt

-

[mm]

Normal module

mn

-

[mm]

Helix angle

β

-

[ ° ]

Working pressure angle

αwt

-

[ ° ]

Transverse pressure angle

αt

-

[ ° ]

Normal pressure angle

αn

-

[ ° ]

Transverse contact ratio

εα

-

[ - ]

Axial contact ratio

εβ

-

[ - ]

Center distance

a

-

[mm]

Number of teeth

z

-

-

[ - ]

Gear width

b

-

-

[mm]

Gear hand

-

-

[ - ]

Pitch diameter

dw

-

-

[mm]

Reference diameter

d

-

-

[mm]

Tip diameter

da

-

-

[mm]

Tip diameter utilizable

dNa

-

-

[mm]

Root diameter utilizable

dNf

-

-

[mm]

Root form diameter

dFf

-

-

[mm]

Root diameter

df

-

-

[mm]

Base diameter

db

-

-

[mm]

Profile shift coefficient

x

-

-

[ - ]

Do you need support with your project?

Dr.-Ing. Christian Wirth

  • MAHLE ZG Transmissions GmbH
  • Head of transmission engineering

christian.wirth@mahle.com Homepage

Dipl.-Ing. Michael Ernstorfer

  • MAHLE ZG Transmissions GmbH
  • Head of transmission design

michael.ernstorfer@mahle.com Homepage