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.840 北京科技大学学报 第29卷 图5非对称齿轮的范成包络过程 Fig.5 Generating process of an asymmetric gear Basic language for simulation of meshing and contact of gear drives 5结论 and its application for design of worm gear drive.Comput Meth- 由于双压力角非对称齿廓齿轮的独特性，使得 ods Appl Mech Eng.2000.189:595 [2]Faydor LL.Qiming L.Asymmetric modified gear drives:reduc- 其加工刀具一非对称齿轮滚刀的设计有其特殊 tion of noise.localization of contact,simulation of meshing and 性，与对称齿轮滚刀最大的不同在于两侧刃齿形角 stress analysis.Comput Methods Appl Mech Eng.2000.188 的不同，正是基于这个特点，使得双压力角非对称齿 363 廓齿轮的加工成为可能，本文创建了非对称齿轮滚 [3]Kapelevich A.Geometry and design of spur gears with asymmet- 刀数学模型，推导了相应的计算公式·实例计算及 rie teeth.Mech Mach Theory.2000,35:117 [4]Difrancesco G,Marini S.Structural analysis of asymmetrical 计算机仿真结果表明，本文所建立的滚刀设计理论 teeth:reduction of size and weight.Gear Technol.1997,14:47 及方法是切实可行的，这为进一步进行双压力角非 [5)袁哲俊.齿轮刀具设计.北京：新时代出版社，1983：29 对称齿廓齿轮的研究提供了有效的加工设计方法； [6]四川机械工业局编。复杂刀具设计·北京：机械工业出版社， 同时通过计算机仿真非对称齿轮的范成加工过程， 1979:61 能更加清楚地了解到非对称齿轮的加工过程，有助 [7]梁雪春.Autolisp即实用教程.北京：人民邮电出版社，1999：103 [8]吴序堂.齿轮啮合原理.北京：机械工业出版社，1982,81 于理解和研究齿轮啮合和加工原理， [9]黄锡凯.机械原理.北京：高等教育出版社，1981：210 [10]杨玉芳，林大钧，付掌印，等.齿轮加工仿真技术。东华大学 参考文献 学报，2005,31(4)：89 [1]Argyris J,de Donno M.Litvin FL.Computer program in Visual Theory and method of hob design for a new-style asymmetric gear LI Wei,LIU Yanjun,QIU Lifang,WANG Xiaoqun Mechanical Engineering School.University of Seience and Technology Beijing.Beijing 100083.China ABSTRACI Based on the principle of gear mesh and hob designing,a method to design an asymmetric involute spur gear was provided and the calculation formula was deducted.The parameter solid model was set up using a calculation example.On the base of the principle of gear manufacture,parametric programs programmed with Visual Basic software and Autolisp program were separately introduced to simulate the envelope process of asym- metric gear manufacture.The result shows this method provides a foundation for new-style asymmetric gear manufacture and experimental study. KEY WORDS asymmetric gear;pressure angle;hob design;generating manufacture;computer simulation图5 非对称齿轮的范成包络过程 Fig．5 Generating process of an asymmetric gear 5 结论 由于双压力角非对称齿廓齿轮的独特性使得 其加工刀具———非对称齿轮滚刀的设计有其特殊 性与对称齿轮滚刀最大的不同在于两侧刃齿形角 的不同正是基于这个特点使得双压力角非对称齿 廓齿轮的加工成为可能．本文创建了非对称齿轮滚 刀数学模型推导了相应的计算公式．实例计算及 计算机仿真结果表明本文所建立的滚刀设计理论 及方法是切实可行的．这为进一步进行双压力角非 对称齿廓齿轮的研究提供了有效的加工设计方法； 同时通过计算机仿真非对称齿轮的范成加工过程 能更加清楚地了解到非对称齿轮的加工过程有助 于理解和研究齿轮啮合和加工原理． 参 考 文 献 ［1］ Argyris Jde Donno MLitvin F L．Computer program in Visual Basic language for simulation of meshing and contact of gear drives and its application for design of worm gear drive．Comput Methods Appl Mech Eng2000189：595 ［2］ Faydor L LQiming L．Asymmetric modified gear drives：reduction of noiselocalization of contactsimulation of meshing and stress analysis．Comput Methods Appl Mech Eng2000188： 363 ［3］ Kapelevich A．Geometry and design of spur gears with asymmetric teeth．Mech Mach Theory200035：117 ［4］ Difrancesco G Marini S．Structural analysis of asymmetrical teeth：reduction of size and weight．Gear Technol199714：47 ［5］ 袁哲俊．齿轮刀具设计．北京：新时代出版社1983：29 ［6］ 四川机械工业局编．复杂刀具设计．北京：机械工业出版社 1979：61 ［7］ 梁雪春．Autolisp 实用教程．北京：人民邮电出版社1999：103 ［8］ 吴序堂．齿轮啮合原理．北京：机械工业出版社1982：81 ［9］ 黄锡凯．机械原理．北京：高等教育出版社1981：210 ［10］ 杨玉芳林大钧付掌印等．齿轮加工仿真技术．东华大学 学报200531（4）：89 Theory and method of hob design for a new-style asymmetric gear LI WeiLIU Y anjunQIU L if angWA NG Xiaoqun Mechanical Engineering SchoolUniversity of Science and Technology BeijingBeijing100083China ABSTRACT Based on the principle of gear mesh and hob designinga method to design an asymmetric involute spur gear was provided and the calculation formula was deducted．The parameter solid model was set up using a calculation example．On the base of the principle of gear manufactureparametric programs programmed with Visual Basic software and Autolisp program were separately introduced to simulate the envelope process of asymmetric gear manufacture．The result shows this method provides a foundation for new-style asymmetric gear manufacture and experimental study． KEY WORDS asymmetric gear；pressure angle；hob design；generating manufacture；computer simulation ·840· 北 京 科 技 大 学 学 报 第29卷