Abstract
Abstract. In order to reduce the vibration of the double-sided meshing nutation drive with double circular arc spiral bevel gears, the dynamic modal of the nutation system is analyzed. The bending-torsional-axial coupling nonlinear dynamic model of the double-sided meshing nutation drive system with time-varying meshing stiffness, meshing damping, transmission error and tooth backlash is established, and the equation of motion of the system is derived. The natural frequencies and corresponding modal modes of the nutation system are calculated, and the effects of the average meshing stiffness of gears and the bearing support stiffness of nutation gears on the modal of the system are analyzed. The modal analysis of double circular arc spiral bevel gears is carried out, and the ten order natural frequencies and their corresponding modes are obtained. The results show that the nutation drive system and the double circular arc spiral bevel gears do not resonate during transmission.
Highlights
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
Fanghella et al (2015, 2016) studied the kinematics, efficiency and dynamic balancing of planetary gear train based on nutating bevel gears and performed a balanced simulation analysis
In order to reveal the universal law of the dynamic characteristics of nutation drive system, this paper studies the nonlinear dynamic modeling, derivation of equation of motion, system inherent modal and gear modal of double-sided meshing nutation drive system with double circular arc spiral bevel gears
Summary
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. Yao et al (2010) designed a double circular arc spiral bevel gear nutation drive and a non-contact nutation drive mechanism, and derived the calculation formula of the nutation mechanism transmission ratio, and established the tooth surface meshing equations of different tooth profiles (Gu et al, 2006; Lin and Yao, 2012). Structure design, gear meshing analysis and strength analysis of nutation mechanism, while the research on the dynamics of double-sided meshing nutation drive with double-arc spiral bevel gears is rare. In order to reveal the universal law of the dynamic characteristics of nutation drive system, this paper studies the nonlinear dynamic modeling, derivation of equation of motion, system inherent modal and gear modal of double-sided meshing nutation drive system with double circular arc spiral bevel gears
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