Transmission Ratio Analysis and Controllable Tooth Profile Modeling for the Nutation Drive with Double Circular-Arc External and Internal Spiral Bevel Gears

Abstract

This paper proposes an approach for calculating the transmission ratio of nutation drive based on the working principle of the nutation movements. Then, the analysis of the influences for the nutation angle on the transmission ratio is carried out. The controllable tooth profile modelling for external and internal spiral bevel gears with double circular-arc is proposed. Based on the proposed tooth profile modeling, the three dimensional modeling and virtual assembly of the nutation drive have been further completed. Finally, the kinematical simulation is preceded in the simulating system and the comparative results have been accomplished between the simulation results and the theoretical ones of the transmission ratio.

Contact Trace of Internal Meshing Double Circular-Arc Spiral Bevel Gears

“…In any instant, the contact point set that all participates in meshing on the tooth surface being called the contact trace. A tooth surface of double circular-arc spiral bevel gear is composed of the convex tooth surface and the concave tooth surface [3], so a pair of double circular-arc bevel gear at a certain moment meshing with two points of contact. Thus, the convex tooth surface and concave tooth surface have a contact trace respectively.…”

“…The transmission ratio of nutation drive based on the working principle of the nutation movements has been carried out, and the controllable tooth profile modeling for external and internal spiral bevel gears with double circular-arc was proposed [3]. The general mathematical model of internal meshing spiral bevel gears for nutation drive has been considered, it is suitable for a variety of gear tooth profile [4].…”

Dynamic modal analysis of double-sided meshing nutation drive with double circular arc spiral bevel gears

“…The bevel gear nutation transmission mechanism is a new type of coaxial transmission, which has the advantages of large transmission ratio, simple and compact structure, small volume and large bearing capacity (Lin et al, 2010), and has been widely used in various industrial equipment. Many experts and scholars have designed various types of nutation mechanisms and conducted corresponding research.…”

Tooth contact analysis with latent error of double circular-arc spiral bevel gears for industrial robot joint nutation drive

“…He analyzed the profile curve of a cycloid nutation gear by using spherical trigonometry theory and presented the basic parameters and main measurements [7,8]. Yao et al proposed an industrial robot joint nutation drive with the double circular-arc spiral bevel gears, established the mathematical model of the internal meshing spiral bevel gears and carried out the transmission ratio analysis and accurate modeling [9][10][11][12][13][14]. The schematic diagram of industrial robot joint nutation drive is shown in Fig.…”