Transmission error acc. to Baethge

Symbol	Δ_s
Unit	µm
Attribute-ID	transmission_error_baethge
Numeric ID	200361
Value Type	PMTechValue

The transmission error Δ_S according to Niemann/Winter Volume 2 is used for pre-dimensioning of the gearing with regard to noise excitation and is based on the simplified calculation method from the Baethge dissertation. The main influencing factor is the change to the total length of the line of contact over the mesh. System deformations and flank modifications are not considered in this method. The fluctuation of the total length of the line of contact Δl_c of a spur gear as a function of the transverse and overlap contact ratios is shown in the following figure from the Wikidal dissertation:

Δl_c	Difference between the maximum and minimum total length of the line of contact relative to the time-averaged value
ε_α	Transverse contact ratio
ε_ß	Overlap contact ratio