Base pitch error-considered free modification spiral gear bearing contact analysis method

Abstract

The invention discloses a base pitch error-considered free modification spiral bevel gear bearing contact analysis method, which comprises the steps of designing a free Ease-off curved surface according to a tooth gap and a tooth surface normal gap generation principle, and superposing the free Ease-off curved surface with a conjugate tooth surface to represent a small gear modification tooth surface; calculating the initial clearance of the tooth surface of a single tooth from an engaging-in contact position to an engaging-out contact position according to a TCA technology; superposing the relative base pitch errors of the simultaneous meshing tooth pairs to the initial clearances of the tooth pairs; completing input data processing of the LTCA method of a certain meshing position in a meshing period, and extracting bearing deformation of the corresponding position in the meshing period and contact position loads of different tooth pairs through LTCA calculation, wherein due to the fact that base pitch errors are unequal, the loads of the different meshing positions of a single tooth need to be obtained through multiple times of cyclic calculation; and finally, applying a machinelearning method (EML) to regression fitting of budget of specific working condition bearing deformation under any random error, and providing a more scientific theoretical basis method for high-performance tooth surface dynamic analysis.

Description

technical field [0001] The invention relates to the technical field of gear transmission, in particular to a load-bearing contact analysis method and load-bearing deformation (mesh stiffness) prediction of a free-modified spiral bevel gear considering the base joint error. Background technique [0002] Gear load-bearing contact analysis (LTCA) technology is an important analysis method for numerical simulation of gear tooth meshing process under heavy load. It is a bridge connecting geometric design and mechanical analysis, and plays a key role in the research of various gears. The static load distribution and bearing deformation of the tooth surface obtained by LTCA simulation are the main indicators to measure the meshing performance of the tooth surface. With the development of spiral bevel gears in the direction of high speed and heavy load, the strength and vibration noise have become the bottleneck affecting product quality. The main reasons for vibration are the time-...

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Problems solved by technology

The tooth thickness of the spiral bevel gear changes in the tooth length direction, and the stiffness error calculated by the empirical formula is relatively large; due to the complexity of the tooth surface geometry, the calculation of the ordinary analytical method is also difficult, so commercial finite element software is often used Carry out loading contact analysis to obtain the meshing stiffness, but it is difficult to use this method to model complex tooth surface geometry, especially modified tooth surfaces, and the calculation efficiency and accuracy are low, which is not suitable for engineering applications

At present, the LTCA technology based on the numerical method combines the tooth TCA method with the finite element method to accurately obtain the normal elastic deformation between the teeth. However, this model assumes that the geometric and mechanical properties of the teeth are repeated tooth by tooth. , that is, the initial inter-tooth gap is repeated by tooth, ignoring the influence of pitch error or base joint error

In practical applications, tooth profile errors, installation errors, and tooth pitch deviations are unavoidable. Tooth profile errors can be reflected in the free modification of the tooth surface, and the change in the initial contact gap of the tooth surface caused by the installation error can be obtained through TCA analysis; however, the tooth surface The pitch deviation does not repeat according to the teeth, so that the initial clearance of the teeth participating in the meshing at the same time will not change repeatedly with the meshing of the teeth. Rapidly predict the meshing deformation of specific working conditions according to random errors, so as to analyze the dynamic performance of the system more accurately, and lay a theoretical foundation for the free modification optimization of the tooth surface considering the base joint error

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