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Spiral bevel gears precise geometric modeling tooth surface anti error tone correction research

Author: CaoKang
Tutor: TangJinYuanï¼›LiGuoShun
School: Central South University
Course: Mechanical Design and Theory
Keywords: Spiral bevel gear Blending Surfaces Machine adjustment parameter Tooth surface error correction
CLC: TH132.41
Type: Master's thesis
Year: 2009
Downloads: 93
Quote: 0
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Abstract


Spiral bevel gear is the basis of the mechanical drive components, its spatial shape and processing technology is quite complex. With the rapid development of industrialization, the increasingly high demand for this type of gear machining accuracy. The machine adjustment error, manufacturing error of the machine itself, the heat treatment of tooth surface deformation, the tooth surface processing error is inevitable. In the processing of spiral bevel gears, machine adjustments nominal adjustment parameters to be adjusted, and thus compensate for the machine to adjust parameters to anti-tune the the corrected tooth surface error is entirely feasible. In this paper, based on the process and the principle of spiral bevel gears, in-depth study of the mathematical modeling of the tooth surface, three-dimensional geometric modeling and error correction technology. The main content of this paper are as follows. 1, spiral bevel gears, gear cutting principles, gear movement between principle and machine components to establish a mathematical model of spiral bevel gear tooth surface, laid the theoretical foundation for the spiral bevel gear geometry modeling and error analysis. 2, the establishment of the the fillet tool equation, derived transition spiral bevel gear surface equation. In this paper, MATLAB programming can quickly and easily calculate the discrete points on the transition surface. Then discrete points import Pro / E software, combined with the round billet boundary conditions for the establishment of the three-dimensional model of gear, such as tooth root bending stress analysis provides the basis for the conditions. 3, based on the principle of gears, spiral bevel gear denaturation machining principle derived machine adjustment parameter errors under the tooth surface any point tooth surface method to the analytical expression of the error, the to establish tooth surface to the error mathematical model. The comparative theoretical tooth surface and error tooth surface to determine the error of the tooth surface, proposed the concept of error affect the coefficient, and as a basis for evaluation of the impact of the machine tool adjustment parameter errors on the tooth surface error. Determined by the analytical method and numerical methods for solving the spiral bevel gear wheel in the process the larger machine adjustment parameters and adjust the parameters of the impact on the tooth surface error error sensitivity. 4 machine adjustment parameter to determine the impact on the tooth surface error, which raised the minimum parameters Amendments Act. Function method to establish the relationship between machine adjustment parameter changes in the amount of the tooth surface normal error. The sequential quadratic programming method to obtain the optimal solution of the machine to adjust the parameters of the correction amount. Simulation and experimental validation of the method by calculating the implementation of the anti-tone correction can effectively reduce the error of the tooth surface.

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CLC: > Industrial Technology > Machinery and Instrument Industry > Mechanical parts and gear > The transmission mechanism > Meshing > Gears and gearing
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