As the mechanical industry is more and more inclined to require the spur gear system with high speed and low noise under large load, the tooth profile modification technology is gradually used to improve the transmission performance of spur gear, so as to evenly distribute the load in the tooth direction, reduce the vibration and noise in the meshing process, and ensure the reliability and accuracy of spur gear transmission. For the tooth profile modification technology of spur gear, gear scholars have done a lot of analysis and research, and have summarized a systematic and complete modification theory and method. Compared with spur gear, the research on spur gear modification technology at home and abroad is not mature, and only a few modification theories have been obtained.
For the research of tooth profile modification, Walker first gives the modification curve abroad. On this basis, scholars at home and abroad continue to complete a large number of theoretical and experimental research, and then give many relevant modification curves.
Inhwan SEOL introduces and discusses a method to correct the tooth profile modification of spur gear, and considers the influence of tooth contact mode and transmission error, and gives the appropriate modification. H ü seyin imrek discusses a width modification method of spur gear under low contact rate. In this way, the negative effects caused by high Hertz force in single tooth meshing area can be reduced or completely eliminated. Chan IL Park obtained the tooth surface optimization curve by using the response surface method and multi-objective optimization method. The determination of design variables and target design variables considered the influence of nonlinear factors in the transmission error of spur gear, and the optimized tooth surface can meet the needs of various load conditions.
Fan Howard and others applied the finite element technology to study the related problems of spur gear modification, and studied and optimized the tooth modification parameters. Huseyin imrek et al. Found that the tooth width modification can keep the same wear degree of the tooth surface along the meshing area by comparing the wear degree of the modified spur gear and the unmodified spur gear. Taking the static transmission error amplitude and harmonic as the objective function, Giorgio bonori et al. Used genetic algorithm to optimize the important parameters of micro modification of spur gear, and proved that the algorithm can optimize the transmission performance of spur gear through reliability test.
Shanmugasundaram Sankar et al. Proposed a tooth root correction method (tooth profile modification) to increase the tooth strength, and analyzed and evaluated the working performance of the modified spur cylindrical gear system by using the finite element software. Ghribi dhafer et al. Used NSGA-II algorithm to optimize the tooth profile modification parameters, and verified the optimized modification effect with some examples.
For the research of tooth profile modification technology abroad, many modification methods and optimization algorithms have been proposed. Due to the emergence and development of finite element software, the tooth profile modification parameters are no longer solved according to the previous formula, but the tooth deformation in the actual work is obtained according to the finite element analysis, and then determined in combination with the specific theoretical calculation, so that the modified spur gear can better solve the problems in the actual work. With the development of computer technology, some professional spur gear analysis software, such as RomaxDesigner and kisssoft, are gradually applied to the tooth profile correction of spur gear (involute correction, diagonal correction, etc.), but these software can not complete the corresponding modification according to some actual working conditions.