R esearch on Numerical Algorithm of Non-circular Gear's Tooth Profile
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摘要: 针对现有的齿廓数值获取方法过于复杂、不易掌握以及通用性不强的情况,提出了一种简便高效的齿廓数值获取方法:在已知非圆齿轮节曲线的情况下,根据展成法原理提炼出了非圆齿轮加工中隐藏的成齿规律:即可利用齿轮刀一个轮齿包络出非圆齿轮的所有齿廓;在此基础上开发了一套高效简便的非圆齿轮齿廓数值算法,该算法能够不断逼近真实的非圆齿轮齿廓数值,并最终得到全部真实齿廓数值。最后利用MATLAB编程,验证了算法的可行性和准确性。Abstract: Considering the complexity and poor universality of the existing numerical methods for generating non-circular gear teeth profiles, a simple and efficient method is proposed in this paper. When the pitch line of non-circular gears is given, each of the single tooth profile of the non-circular gear can be enveloped by a slotting cutter with only one gear tooth. A new numerical algorithm generating non-circular gear teeth profiles based on the above method is built, in this algorithm all of the teeth profiles are closed to the required profile gradually and achieved to non-circular gear teeth profiles at last. A computer program of the numerical algorithm generating non-circular gear teeth profiles is developed with MATLAB, the feasibility and accuracy of this algorithm is confirmed by numeriacal examples.
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Key words:
- gear teeth /
- algorithms /
- efficiency /
- MATLAB
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