Helical Gear Generator -

Transverse module: [ m_t = \fracm_n\cos \beta ]

Involute parametric equation (transverse plane): [ x = r_b (\cos \theta + \theta \sin \theta) ] [ y = r_b (\sin \theta - \theta \cos \theta) ] where ( \theta = \textinv(\alpha) = \tan\alpha - \alpha ) helical gear generator

Base diameter: [ d_b = d \cdot \cos \alpha_t ] Transverse module: [ m_t = \fracm_n\cos \beta ]

Pitch diameter: [ d = m_t \cdot z ]

Transverse pressure angle: [ \tan \alpha_t = \frac\tan \alpha_n\cos \beta ] helical gear generator