| With the development of the aviation and aerospace career,space shuttles and other devices are gradually becoming more lighter and powerful,and the deceleration devices of these devices need to meet the requirements of large gear ratios and simple structures.Based on this,face gear drives stand out from numerous transmission methods due to their many advantages,such as stable transmission,high degree of overlap,low noise,small footprint and high circumferential speed.Due to the uniqueness of face gear transmission application field,it is necessary to systemically study on the face gear transmission.On the premise of ensuring safety and stability,manufacturing errors of the face gear should be minimized.Therefore,it is great significance to study the manufacturing and error analysis of the face gear.This paper took the orthogonal straight face gear as the research object,and uses MATLAB and UG NX8.0 software to analyze the specific process of the mathematics precise modeling and the process of the tooth simulation,and compares these two models.The main research content is as follows:1.Firstly,according to the principle of differential geometry and the principle of gear meshing,a space coordinate a system of face gears was established,and the transformation relationships between the various coordinate systems were obtained.Secondly,according to the forming principle of tooth surface,combined with the equations of the tool equation of the cylindrical gear and the relative velocity of the meshing point of the tool and face gear,the tooth surface equation and the transition tooth surface equation of the orthogonal straight face gear were solved.Finally,according to the limiting conditions of the tooth width,the maximum outer radius equation of tooth tip and the minimum inner radius equation of tooth root cut were determined.2.Based on an example of orthogonal straight face gear transmissions,the equations were solved by MATLAB software to obtain the specific values of the inner and outer radius of the face gears,and the tooth width values were determined.The Z-section staking method was used to solve the tooth surface equations and the transitional tooth surface equations.The obtained tooth surface discrete points were visualized in the MATLAB software.3.The discrete points of the tooth surface were stored in the text,and the points were collected into lines by means of UG NX8.0.The tooth surface was formed by the tooth surface line,and the mathematical modeling of the face gear was finally completed.At the same time,the involute modeling of cutter gears and cylindrical gears was completed in UG,and surface gear drive assembly was performed.4.According to the previously requested parameters,face gear ring blank model was established.According to the principle of gear pinion machining,the machining motion model of tool gear and ring blank was established.The Boolean operation was used to simulate the pinion mach to complete the face gear pinion simulation and processing.Using the new modeling method to extract the tooth surface,the accurate modeling of the surface gear was completed,which verified the correctness of the simulation process and the feasibility of the tooth surface modeling method.5.Using the research method of taking the cross-section of the opposite gear at different positions,the tooth profile change of the face gear was analyzed.Cylindrical section of the same radius,tooth thickness will decrease with increasing tooth height,the trend is more obvious at both ends of the teeth.The cross section is taken at the same tooth height,and the tooth thickness will decrease as the radius increases.This tendency is more pronounced at the tooth top surface.6.The cylindrical sections of the same radius of the two models were studied and the variation of tooth profile error with tooth height was studied.The results showed that both models have larger errors at the top and bottom of each radius cylindrical surface,and have less error in the middle of the tooth surface.And studied the same tooth high surface,the variation rule of the tooth orientation error with the radius,The results show that the errors at the inner radius and the outer radius are greatest at the high section of each tooth of the two models,and the error at the middle of the tooth direction is smaller.When the face gear transitions from the tooth tip to the tooth bottom face,the tooth shape becomes larger and larger,and along the tooth direction,the error of each cross section first decreases and then increases.The reasons for the tooth profile error of the cylindrical section of the face gear radius and the tooth profile error of the tooth height section were analyzed. |
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