A Precise Drum Repair Method with Varying Curvature of Involute Spur Bevel Gears that is Easy to Realize Parameterization

Abstract

A method for conveniently realizing the variable curvature accurate drum correcting of a parameterized involute straight bevel gear belongs to the field of gear production. The scheme fully utilizes ANSYS / LS-DYNA, Imageware, Matlab and Solid works to realize the accurate modeling of a variable curvature drum shape correcting straight bevel gear model, moreover, according to a variable curvature drum shape tooth surface equation which is derived by the method, programming is carried out based on the uniform B-spline surface equation theory so as to realize the parametric modeling of a variable curvature drum correcting tooth surface, the accuracies of the shape correcting straight bevel gear model and subsequent finite element modeling are improved, and shape correcting straight bevel gear products or die electrodes are directly processed through a numerical control technique; and for a straight bevel gear pair, a drive gear is only subjected to the variable curvature shape correcting, a driven gear is not corrected, so that the design and processing difficulty of the shape correcting gear are reduced.

Description

technical field [0001] The invention relates to a gear manufacturing method, in particular to a parameterized involute straight-tooth bevel gear variable curvature accurate drum repair method. Background technique [0002] Because the involute straight bevel gear pair is affected by complex loads in actual work, the gear system produces various elastic deformations and thermal deformations, and the influence of factors such as gear installation and manufacturing errors will cause the actual working state of the gear to deviate from the theory. In the working state, the gear pair has serious vibration, impact, noise and "end meshing" phenomenon. In view of this, it is necessary to modify the shape of the gear teeth to improve the above phenomenon. Although the traditional symmetrical equal-radius arc repair drum can The above phenomenon is improved to a certain extent, but because the load distribution at both ends of the gear in actual work is not exactly the same, and the e...

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Problems solved by technology

[0007] To sum up, due to the different shapes of gears and the different purposes of gear modification, the technical solutions for gear modification are also quite different, but there are common problems: first, the convenient parameterization suitable for specific working conditions has not been realized. The precise modeling of the modified drum gear model with variable curvature has little effect on improving the accuracy of the modified bevel gear model and the accuracy of the subsequent finite element simulation; the second is that both the driving gear and the driven gear need to be modified. Increased the design and processing difficulty of modified gears; third, although the current Solidworks, PRO / E and UG are powerful three-dimensional solid modeling tools for mechanical design, their function of generating curved surfaces from surface equations is relatively weak. Therefore, this limits its application in the three-dimensional solid modeling of variable-curvature drum-shaped modified gears. Although the mathematical tool Matlab can easily draw and process complex surfaces, the graphics it generates cannot be directly used in mechanical design. These problems limit application in gear modification

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