Mathematical models of grinding manufacture and tooth contact analysis of spherical gears

作者：Li Ting^*; Pan CunYun

来源：Science in China - Series E: Technological Sciences , 2009, 52(10): 2823-2830.

DOI：10.1007/s11431-009-0232-z

• spherical gear
• generating method
• plate grinding wheel
• contact analysis
• contact point path

The spherical gear is a gear-driven mechanism with two degrees of freedom (DOF), which can transfer spatial motion and power. Grinding machining of the spherical gear is performed with a plate grinding wheel by using generating method, and based on mathematical model of the plate grinding wheel, the mathematical model of the spherical gear is set up. And then, the meshing model of a spherical gear pair is developed and the tooth contact analysis (TCA) of the spherical gear pairs is performed. After that, the position of a contact point on teeth surfaces of the spherical gear pair can be solved by using a nonlinear solver. Finally, the paths of contact points on teeth surfaces of the spherical gear are studied: Since every tooth of the spherical gear is diverse, the contact paths of the meshing of the spherical gear pair are complex and multiform. These are very useful to further investigations on transmission theory and practical applications of spherical gear pairs.

• 出版日期2009-10
• 单位中国人民解放军国防科学技术大学