Gear mechanism is one of the most widely used transmission mechanism and speed change mechanism in mechanical industry. With the development of gear industry and gear geometry, new gear mechanisms appear constantly, and are promoted in some specific application scenarios. Chen Yangzhi put forward the theory of space conjugate curve meshing, and on the basis of this theory, put forward the linear gear and its design method. The linear gear has the advantages of flexible design, no undercutting and the minimum number of teeth can be one; the linear gear pair has the advantages of large transmission ratio, easy miniaturization and lightweight; at the same time, the linear gear pair can also transmit the recursive motion between two parallel shafts, any angle intersecting shaft and any angle intersecting shaft. In simultaneous interpreting of the same load capacity, the ratio of the vertical crossreducer designed by Li Zheng to 10: 1 is 16.7% lower than that of the conventional reducer with the same transmission ratio. Cui Xiuyan designed a small wind turbine with wire gear speed increasing device, which can achieve 80 W power generation under the condition of wind speed of 10 MGS and wind wheel radius of 500 mm. In addition, linear gear pair has great development potential in micro space transmission, small and medium robot reducer and other application scenarios.
Linear gear is a kind of point contact transmission gear, and its main failure mode is tooth contact fatigue. In order to further improve the bearing capacity and service life of linear gear reducer, surface hardening methods such as tooth surface quenching are generally used to improve the contact strength of linear gear. The deformation caused by heat treatment will reduce the accuracy and transmission performance of gears. Grinding is an important means to eliminate the gear deformation after heat treatment, improve the accuracy of tooth surface, and reduce the surface roughness of tooth surface. Form grinding of linear gear is to grind the tooth surface of linear gear with form grinding wheel. In the actual grinding process, there are inevitably forming manufacturing errors and installation errors in the machine tool for the formed grinding wheel, resulting in machining errors. Ge Haiyan and others analyzed the influence of wheel installation angle deviation on the profile accuracy ofafter form grinding through VERICUT machining simulation platform. Fang Chenggang and others analyzed the influence of eccentric wheel installation on helical gear profile error, and discussed the sensitive direction of eccentric wheel installation. Zhang Ligong et al. Discussed and analyzed the tooth profile error caused by the angle error, center distance error and tangential error of grinding wheel in the process of grinding helical gear by forming method. Based on the special grinding machine for face gear, Wang Yanzhong and others analyzed the influence of relative position and motion process factors of grinding wheel on the normal error of face gear tooth surface, and proposed the calculation method of normal error of face gear tooth surface.
At present, the research on gear grinding error mainly focuses on the traditional gears such as helical gear, spiraland face gear, but rarely on the research of gear form grinding error. In this paper, the form grinding method of cylindrical gear is studied. Based on the principle of on-line gear form grinding, the calculation formula of meshing point error on the contact line of cylindrical gear caused by the position deviation of grinding wheel is derived; The influence of grinding wheel position deviation on the profile of cylindrical gear is analyzed by Mathematica software. Finally, the correctness of theoretical analysis is verified by VERICUT machining simulation platform.