单圆弧齿廓面齿轮齿面的生成
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摘要
旨在解决单圆弧齿廓面齿轮造型难的问题,提出一种高效精确的建模方法。以范成加工原理为理论依据,布尔运算为主要实现方法,精确建立刀具齿轮模型,再运用三维建模CATIA软件二次开发技术,编写VBA宏程序完成刀具齿轮包络运动过程中切割面齿轮毛坯,生成单圆弧齿廓面齿轮齿面。该方法类似插齿加工面齿轮,不同在于刀具只做公转和自转的包络成形运动,成形的齿面精度可控且可靠。在理论模型上再现了刀具迹线,为单圆弧齿廓面齿轮的加工和研究提供了模型参照。
In order to solve the difficult problem of gear modeling of circular arc tooth profile,an efficient and accurate modeling method was put forward. Taking generating principle as the theoretical basis,Boolean operation as the main method,the accurate model was established. Then secondary development technology of CATIA software was used to white VBA macro program to complete the motion of the cutter gear enveloping process to cut surface of the gear blank,creating a circular face gear tooth surface. The method was similar to the gear shaping face gear. The difference was that the cutter only makes the envelope forming movement of revolution and rotation,and the formed tooth surface was controllable and reliable. The tool trace is reproduced on the theoretical model,which provides a model reference for the processing and research of the gear with circular arc profile.
In order to solve the difficult problem of gear modeling of circular arc tooth profile,an efficient and accurate modeling method was put forward. Taking generating principle as the theoretical basis,Boolean operation as the main method,the accurate model was established. Then secondary development technology of CATIA software was used to white VBA macro program to complete the motion of the cutter gear enveloping process to cut surface of the gear blank,creating a circular face gear tooth surface. The method was similar to the gear shaping face gear. The difference was that the cutter only makes the envelope forming movement of revolution and rotation,and the formed tooth surface was controllable and reliable. The tool trace is reproduced on the theoretical model,which provides a model reference for the processing and research of the gear with circular arc profile.
引文
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[7]冯占荣,王利霞,崔俊华.基于切齿原理的CATIA齿轮建模与分析[J].机械工程师,2015(11):126-128.FENG Z R,WANG L X,CUI J H.CATIA Modeling and Analysis of Gear Based on Gear Cutting Principle[J].Mechanical Engineer,2015(11):126-128.
[8]秦琳晶,姜东梅,王晓坤.中文版CATIA V5R21完全实战技术手册[M].北京:清华大学出版社,2017:175-177.
[9]陈荣增,陈式椿,陈谌闻.圆弧齿圆柱齿轮传动[M].北京:高等教育出版社,1995:22-27.
[2]LITVIN F L,FUENTES A,ZANZI C.Face-gear Drive with Spur Involute Pinion:Geometry,Generation by a Worm,Stress Analysis[J].Computer Methods in Applied Mechanics and Engineering,2002,191(25/26):2785-2813.
[3]LITVIN F L,GONZALEZ-PEREZ I,FUENTES A,et al.Design,Generation and Stress Analysis of Face-gear Drive with Helical Pinion[J].Computer Methods in Applied Mechanics and Engineering,2005,20:3870-3901.
[4]李政民卿,朱如鹏.正交面齿轮齿廓的几何设计和根切研究[J].华南理工大学报(自然科学版),2008,36(2):78-82.LI Z M Q,ZHU R P.Investigation into Geometrical Design of Tooth Profile and Undercut for Orthogonal Face Gear[J].Journal of South China University of Technology(Natural Science Edition),2008,36(2):78-82.
[5]朱如鹏,高德平.在面齿轮设计中避免根切和齿顶变尖的设计方法的研究[J].中国机械工程,1999(11):1274-1276.ZHU R P,GAO D P.Study on the Method of Avoiding Addendum Undercutting and Addendum Pointing in Face Gear Design[J].China Mechanical Engineering,1999(11):1274-1276.
[6]朱如鹏,潘升材,高德平.正交面齿轮传动中齿宽设计的研究[J].机械科学与技术,1999,18(4):566-567.ZHU R P,PAN S C,GAO D P.Study of the Design of Tooth Width of Right Shaft-angle Face-gear Drive[J].Mechanical Science and Technology,1999,18(4):566-567.
[7]冯占荣,王利霞,崔俊华.基于切齿原理的CATIA齿轮建模与分析[J].机械工程师,2015(11):126-128.FENG Z R,WANG L X,CUI J H.CATIA Modeling and Analysis of Gear Based on Gear Cutting Principle[J].Mechanical Engineer,2015(11):126-128.
[8]秦琳晶,姜东梅,王晓坤.中文版CATIA V5R21完全实战技术手册[M].北京:清华大学出版社,2017:175-177.
[9]陈荣增,陈式椿,陈谌闻.圆弧齿圆柱齿轮传动[M].北京:高等教育出版社,1995:22-27.