Synthesis of Spiral Bevel Gear Transmissions With a Small Shaft Angle

2006 ◽  
Vol 129 (9) ◽  
pp. 949-959 ◽  
Author(s):  
Vladimir I. Medvedev ◽  
Andrey E. Volkov

An algorithm for synthesis of spiral bevel gear transmissions with a small shaft angle is presented. The algorithm of synthesis provides machine-tool settings with account of design limits for majority of gear generating machines. The proposed algorithm makes it possible to decrease the dimensions of machines that are used for gear and pinion tooth generation. The computer program of synthesis is developed that is based on described algorithm. Recommendations on selection of proper synthesis parameters are presented. An example of synthesis and analysis of a transmission is considered.

2019 ◽  
Vol 2019 ◽  
pp. 1-16
Author(s):  
Haimin Zhu ◽  
Weifang Chen ◽  
Rupeng Zhu ◽  
Jie Gao ◽  
Meijun Liao

To accurately study the dynamic characteristics of the spiral bevel gear transmission system in a helicopter tail transmission system, the finite element model of the gear shaft was established by a Timoshenko beam element, and the mechanical model of the spiral bevel gear was created by the lumped mass method. The substructure method is employed to extract the dynamic parameters from the gearbox’s finite element model, and the dynamic model of the spiral bevel gear-shaft-bearing-gearbox coupling system was built according to the interface coordination conditions. In the model, the influences of time-varying stiffness, a time-varying transmission error, gearbox flexibility, unbalance excitation, and a flexible shaft and bearing support on the system vibration were taken into account simultaneously. On this basis, the dynamic differential equations of the full coupling system of the spiral bevel gear were derived, and the effects of the gearbox flexibility, the shaft angle, and the unbalance on the dynamic properties of the system were analysed. The results show that the gearbox flexibility can reduce the gear meshing force and bearing force, in which there is a more significant impact on the bearing force. The shaft angle affects the position, size, and direction of the system’s axis trajectory. Meanwhile, the meshing force and the bearing force of the system are also varied because of the various pitch angles of the driving and driven gears under different shaft angles. The unbalance of the gear shaft has an effect on the vibration of the spiral bevel gear transmission system in all directions, wherein the influence on the torsional vibration is the most significant, and the influence increases as the unbalance rises. The unbalance of the gear shaft also affects the meshing force and bearing force, which increases as the rotational speed rises. This research provides a theoretical basis to optimize dynamic performance and reduce the vibration and noise of a spiral bevel gear full coupling system.


2011 ◽  
Vol 86 ◽  
pp. 424-427 ◽  
Author(s):  
Jian Jun Yang ◽  
Bing Yang Wei ◽  
Xiao Zhong Deng ◽  
Zong De Fang

Based on non-smooth impact theory, the dynamic model of spiral bevel gear is constructed by considering of input shaft angle excitation. The Maximal Lyapunov Exponents (MLEs) curves for backlash 0.10mm and 0.14mm caused by exciting amplitude are given. The simulation results indicate that gear backlash, excited amplitude and retard torque have influence on the dynamics behavior of spiral bevel gear system. The experiments show that the vibration noise is deduced after ultrasonic gear lapping.


2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Yongsheng Liu ◽  
Suping Fang ◽  
Yixin Chen ◽  
Jianye Zhang

The manufacturing error of spiral bevel gear tooth surface has a great influence on transmission efficiency and gear life. The error of the gear tooth surface needs to be measured accurately and fed back to the machine tool to adjust the parameters. When measuring the spiral bevel gear using a gear measuring machine, combined with the measurement theory of the tooth flank of spiral bevel gear, this paper proposed a method to compensate the inclination error in the measurement result precisely. Based on the iterative search method, a precision matching method for the theoretical and the measured tooth surface of the spiral bevel gear was designed to calculate the compensation results. The experimental results show that the inclination errors included in tooth surface measurement results reduced from more than 3 μm to less than 0.5 μm, and more than 70% of the errors are compensated by the proposed method. The accuracy of the measurement results improved significantly after compensation, and furthermore, it can provide a more accurate basis for the adjustment of machine tool parameters in the manufacturing process.


2011 ◽  
Vol 216 ◽  
pp. 345-349
Author(s):  
Yan Xia Du ◽  
Bao Zhan Lü ◽  
Feng Guo Bin

From the NC machining principle of spiral bevel gear, the motion relationship of machine tool, cutter and workpiece during machining spiral bevel gear was analyzed. Based on the machine coordinate system, the tooth surface equation and the cone equation of cutting edges of spiral bevel gear were put forward. 3D solid model of spiral bevel gear was constructed using Pro/E Wildfire2.0 software. The NC milling simulation was carried out by the VERICUT software, and at the same time, the experiment was researched. Simulation and experimental results show that the spiral bevel gear can adopt the method of CNC machining, and can ensure the high quality, especially for single or small batch production.


2011 ◽  
Vol 121-126 ◽  
pp. 3466-3470
Author(s):  
Lin Yang ◽  
Peng Zhang ◽  
Yuan Tao Wang

In this paper, a new type of large-size spiral bevel gear machine is used as a model to study the structural characteristics of spiral bevel gears. Geometric and mathematical models of the machine tool are established. According to the processing principle of spiral bevel gear by forming method with disc cutter, the position and angle of cutter relative to the workpiece are researched.The tool motion is converted to the machine tool coordinate system by coordinate transformation, then the tool trajectory can be obtained to provide the basis for the processing of spiral bevel gears.


2018 ◽  
Vol 4 (6) ◽  
pp. 434-441
Author(s):  
Yanwei XU ◽  
Aijun XU ◽  
Lihai CHEN ◽  
Menghui Chen ◽  
Xianfen Li

2012 ◽  
Vol 476-478 ◽  
pp. 610-613
Author(s):  
Yan Wei Xu

The machining coordinate system of spiral bevel gear machine tool is established through analyzing the machining mechanism of spiral bevel gear, and the three dimensional structure model of large scale spiral bevel gear machine tool is also established using the new cutting feed method. The numerical control machining model of large scale spiral bevel gear machine tool is proposed. Finally, the machining simulation of one pair of given large scale spiral bevel gears has been done, the result indicates that the machining simulation model meets the prospective design requirement.


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