Parametric study on the cylindrical roller enveloping end-face internal engagement worm gear

A novel worm gear named cylindrical roller enveloping end-face internal engagement worm gear is originally proposed for the first time in this study. Also, the meshing functions including induced normal curvature and lubrication angle are derived based on the gearing meshing theory and differential geometry. Furthermore, numerical analysis is performed to screen the potential optimal design parameters. The finite element analysis is conducted to minimize the contact stress and assessment the performance of the cylindrical roller enveloping end-face internal engagement worm gear. The theoretical calculation confirms that the novel worm gear has good meshing and lubrication characteristic; also, the study indicates that the worm-wheel rotational deflection angle p that is bigger than 43 has difficulty satisfying the meshing condition. The working surface of the cylindrical roller increases with the increase in A which means that choosing a relatively large p results in even stress on the tooth of the worm gear, thus prolonging the service life. This study aims to provide a new drive to replace some complex gear combinations.