High precision modeling method of involute helical gear

Abstract

A method for modeling an involute helical gear accurately comprises the following steps: first step: setting related parameters; second step: establishing an involute and a transition curve by a curve equation, setting a toothspace center line and drawing a dimensional tooth profile; third step: inputting a spiral line equation and establishing a spiral line; fourth step: generating a toothspace by mixed scanning and an array, and cutting a gear blank by Boolean operation to form a gear model; and fifth step: applying a gear model to practical gear machining or simulation analysis. According to the method, a formula suitable for three-dimensional software is deduced based on the basic principle of the involute helical gear and the engagement of a rack and a gear, the original fussy programming computation is saved; besides, the formation of the entity can be highly fitted to provide technical support for the subsequent manufacture and analysis of the helical gear; and the method is not only suitable for a standard profile gear but also a non-standard gear profile, and has remarkable scientific research value and economic efficiency.

Description

technical field [0001] The invention relates to the field of gear modeling and processing, in particular to a high-precision modeling method for involute helical gears. Background technique [0002] When the helical gear meshes, the degree of overlap is large, and a gradual and smooth transition can be achieved during the transmission process, which avoids the impact of the spur gear during the meshing process, and can realize the transmission requirements between the balance shafts, while avoiding the process of other gears complexity, so helical gears are widely used in mechanical engineering. However, in engineering practice, in order to achieve the purpose of matching the center distance, etc., the gears are often displaced, which makes the calculation and drawing of the gears more difficult; Due to the requirement of load capacity, small tooth angle and long tooth profile are often used, which makes the drawing and modeling of gears more difficult. [0003] Currently ...

AI Technical Summary

Problems solved by technology

[0004] Aiming at the shortcomings of the above-mentioned approximate modeling method for involute helical gears, which are rough and inaccurate, which affects manufacturing and simulation analysis, the applicant provides a high-precision modeling method for involute helical gears, which significantly improves the efficiency of involute helical gears. The modeling accuracy of open-line helical gears can significantly improve the accuracy of calculation results in actual gear processing or simulation analysis, such as tooth root stress analysis and tooth surface contact analysis

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