Finite element contact analysis and experimental study of spiral bevel gear

Through experimental measurement and finite element simulation analysis, the spiral bevel gear is analyzed and studied respectively, and the meshing characteristics of spiral bevel gear are obtained. Based on the machining principle of spiral bevel gear machine tool and virtual machining technology, the machining process of spiral bevel gear is simulated in three-dimensional modeling software, and its gear blank cutting model is obtained. The ideal three-dimensional geometric model of spiral bevel gear is obtained by using tooth surface reconstruction technology; The static and dynamic meshing characteristics of spiral bevel gear are obtained by analyzing the static and dynamic loading contact characteristics of spiral bevel gear; A closed power flow spiral bevel gear test-bed with multiple measurement functions is designed, and the transmission error, mechanical efficiency and contact area of spiral bevel gear under specific working conditions are experimentally measured. The main research work is summarized as follows:

(1) Virtual machining modeling of spiral bevel gear. Based on the principle of spiral bevel gear machining, the three-dimensional bevel gear machining process is simulated by the software of spiral bevel gear generating method. Using the tooth surface reconstruction technology, the smooth tooth surface of spiral bevel gear is obtained, and the ideal three-dimensional geometric model of spiral bevel gear is obtained. In order to obtain the high-quality finite element mesh model of spiral bevel gear, the gear teeth are segmented in the three-dimensional modeling software.

(2) Finite element loading contact analysis of spiral bevel gear. Through the analysis of static and dynamic loading contact characteristics, the static and dynamic meshing characteristics of spiral bevel gear under various working conditions are obtained respectively. The variation curves of gear angle, speed, transmission error, coincidence degree, contact area, contact force, tooth surface contact stress and tooth root contact stress and the variation law of tooth surface contact area are obtained. The results of tooth surface contact stress and tooth root bending stress obtained in finite element contact analysis are compared with the results of theoretical calculation formula, and the strength check is completed. The results show that the spiral bevel gear has high transmission accuracy; In the initial stage of meshing, meshing impact occurs; Under the light load condition, the spiral bevel gear is out of meshing; The strength of spiral bevel gear under most of the above working conditions meets the requirements and has high reliability.

(3) Design of closed power flow spiral bevel gear test bench. According to the structural characteristics and bearing capacity of spiral bevel gear transmission, a closed power flow spiral bevel gear test-bed with multiple test functions is designed. The test bench can realize the measurement work under various working conditions, and can obtain the input and output speed and torque working conditions of the gearbox, transmission error and mechanical efficiency of the gearbox at the same time.

(4) Experimental measurement of meshing characteristics of spiral bevel gears. On the test-bed, the variation laws of input and output speed and torque of spiral bevel gear in the transmission box under specific working conditions are measured, and the transmission error and mechanical efficiency under this working condition are obtained; The position, shape and size of the contact area of spiral bevel gear are measured by coloring method. The test results show that the transmission of spiral bevel gear is stable, the transmission accuracy and working efficiency are high, and the coincidence degree is large.

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