双圆弧齿轮的建模与仿真
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摘要
双圆弧齿轮的轮齿是一个空间螺旋体，形状非常复杂，加上齿形设计灵活，因而利用先进的设计计算方法和计算机技术对对双圆弧齿轮的齿形参数进行研究具有特别重要的意义。
本文在分析圆弧齿轮齿形约束及尺寸参数的基础上，建立了双圆弧齿轮的结构参数化实体模型，实现了实体模型与优化系统设计变量之间的数据通讯，从而可以用优化系统的输出结果参数来驱动所建的模型，完成机械工程设计与优化系统的连接，为实现系列产品的快速开发设计提供可能。
软件的开发采用了目前AUTOCAD2002 MDT二次开发的最新语言：ObjectARX2002.通过Visual C++6.0编程环境，充分利用WINDOWS资源和MFC类库实现软件界面的可视化设计。软件在三维造型功能实现上使用了扫掠和阵列实体造型方
太原理工大学硕士研究生学位论文
法。成功地实现了双圆弧齿轮的三维造型的参数化设计。调用
华中理工大学研制的约束变尺度法CVM01程序对双圆弧
齿轮减速器进行优化，并很好的集成为一体，具有通用性，
因而是对双圆弧齿轮传统设计的一种改进和提高。借助双圆弧
齿轮CAD系统，加快了设计进程，缩短了研制周期，提高了设
计质量。并对涉及到的系数和图表进行了程序化设计，各个过
程可以根据需要调用公用的子模块。
本文利用ANSYS与MDT的接口，建立了双圆弧齿轮的三
维有限元模型。整个三维模型通过程序自动生成，然后导入有
限元程序中进行前后处理。实现了有限元分析模型的参数化，
可以方便地对不同齿形参数的齿轮进行有限元分析和计算。
Double circular arc gears are the complex special helical gear, and the design of the profile parameters is very flexible. Therefore, in this dissertation, it is very important to study study the tooth profile parameters optimum on double circular arc gears by means of modern design method and computer technique.
The thesis have established the parametric entity model of the Double circular arc gears after analyzing the constraints and dimension-parameters, and Having established the communication between the entity model and the output of the generalized optimization system so that the output can be used to drive the model. It has linked machine design to the generalized optimization system so as to provide possibilities to realize design of series products quickly.
The software's development takes advantage of ObjectARX
2002 MDT which is the newest languages at present. Through the programming environment of Visual C++6.0, the visual interface design of the software is realized by making use of the resources of WINDOWS and class of MFC. The sofeware uses two entity configure methods: extruding and simulating entity cutting in realizing three dimensional configurations, which successfully achieve three dimensional configurations of Double circular arc gears. In addition, parameterized designs of gears meshing are available in this software. Optimal design use CVM01 (Constrained Variable Metric) by YuJung. It is the development of traditional design of double circular gears, speeding the course of design, shorting the period of development, advancing the quality of design. This paper designed the subroutine program of chart and parameter table. So every course can call public subroutine program on the basis of demand.
In this paper, the FEM model of double circular arc gears is established by the ANSYS, The FEM model is generated automaticly by the compiled analysis program. Then deal with it in the FEM program and accomplish the parameterized FEM model, It can be analyzed by FEM efficiently and convently on the tooth profile of different tooth profile parameters.
本文在分析圆弧齿轮齿形约束及尺寸参数的基础上，建立了双圆弧齿轮的结构参数化实体模型，实现了实体模型与优化系统设计变量之间的数据通讯，从而可以用优化系统的输出结果参数来驱动所建的模型，完成机械工程设计与优化系统的连接，为实现系列产品的快速开发设计提供可能。
软件的开发采用了目前AUTOCAD2002 MDT二次开发的最新语言：ObjectARX2002.通过Visual C++6.0编程环境，充分利用WINDOWS资源和MFC类库实现软件界面的可视化设计。软件在三维造型功能实现上使用了扫掠和阵列实体造型方
太原理工大学硕士研究生学位论文
法。成功地实现了双圆弧齿轮的三维造型的参数化设计。调用
华中理工大学研制的约束变尺度法CVM01程序对双圆弧
齿轮减速器进行优化，并很好的集成为一体，具有通用性，
因而是对双圆弧齿轮传统设计的一种改进和提高。借助双圆弧
齿轮CAD系统，加快了设计进程，缩短了研制周期，提高了设
计质量。并对涉及到的系数和图表进行了程序化设计，各个过
程可以根据需要调用公用的子模块。
本文利用ANSYS与MDT的接口，建立了双圆弧齿轮的三
维有限元模型。整个三维模型通过程序自动生成，然后导入有
限元程序中进行前后处理。实现了有限元分析模型的参数化，
可以方便地对不同齿形参数的齿轮进行有限元分析和计算。
Double circular arc gears are the complex special helical gear, and the design of the profile parameters is very flexible. Therefore, in this dissertation, it is very important to study study the tooth profile parameters optimum on double circular arc gears by means of modern design method and computer technique.
The thesis have established the parametric entity model of the Double circular arc gears after analyzing the constraints and dimension-parameters, and Having established the communication between the entity model and the output of the generalized optimization system so that the output can be used to drive the model. It has linked machine design to the generalized optimization system so as to provide possibilities to realize design of series products quickly.
The software's development takes advantage of ObjectARX
2002 MDT which is the newest languages at present. Through the programming environment of Visual C++6.0, the visual interface design of the software is realized by making use of the resources of WINDOWS and class of MFC. The sofeware uses two entity configure methods: extruding and simulating entity cutting in realizing three dimensional configurations, which successfully achieve three dimensional configurations of Double circular arc gears. In addition, parameterized designs of gears meshing are available in this software. Optimal design use CVM01 (Constrained Variable Metric) by YuJung. It is the development of traditional design of double circular gears, speeding the course of design, shorting the period of development, advancing the quality of design. This paper designed the subroutine program of chart and parameter table. So every course can call public subroutine program on the basis of demand.
In this paper, the FEM model of double circular arc gears is established by the ANSYS, The FEM model is generated automaticly by the compiled analysis program. Then deal with it in the FEM program and accomplish the parameterized FEM model, It can be analyzed by FEM efficiently and convently on the tooth profile of different tooth profile parameters.
引文
[1] 王秀业 圆弧齿轮在我国的发展和应用 山东建材，2002(1)：38-39
[2] 赵荣，李阳星，周广林等。基于遗传算法的双圆弧齿轮传动的模糊可靠性优化设计。煤矿机械，2002(3)：8-10
[3] 赵彦如，王学永，赵燕，双圆弧齿轮传动的模糊可靠性优化设计，机械传动，2001(1)：9-11
[4] 张瑞亮，王铁。双圆弧传动的模糊可靠性设计方法。现代制造工程，2001(10)：36-38
[5] J. Brugioni, T. Forbang, A. Sheta, and A.I. Haque "The Finite Element Method Applied to Structural Analysis"
[6] Matthew W. Roberts, Luciana R. Barroso, and Loren D. Lutes " A NONLINEAR FINITE ELEMENT TOOLBOX For STRUCTURAL CONTROL"
[7] Stepan V. Lunin. Finite Element Method for tooth stress analyses.
[8] Stepan V. Lunin. NEW DISCOVERIES IN WN GEAR GEOMETRY
[9] 蔡春源，鄂中凯，何德芳。双圆弧齿轮轮齿应力分布的三维有限元分析。冶金设备，1984(5)：1-3
[10] 吴伟光，陈谌闻，以三维有限元法为基础分析不同螺旋角双圆弧轮齿的齿根应力。齿轮。1986(1)12-15
[11] 贾毅，用三维有限元法对双圆弧齿轮变形的研究。郑州：齿轮，1989(4)：8-12
[12] Faydor L. Litvin, Pin-Hao Feng, and Sergei A. Lagutin
"Computerized Generation and Simulation of Meshing and Contact of New Type ofNovikov-Wildhaber Helical Gears ", NASA/CR--2000-209415, ARL-CR-428
[13] Faydor L. Litvin, Qi Fan, Daniele Vecchiato,, and Alberto DemenegoUniversity of Illinois at Chicago, Chicago, Illinois "Computerized Generation and Simulation of Meshing of Modified Spur and Helical Gears Manufactured by Shaving" NASA/CR--2001-210893, ARL-CR-468 May 2001
[14] Faydor L. Litvin and Alfonso Fuentes University of Illinois at Chicago, Chicago, Illinois, Baxter R. Mullins and Ron WoodsBell Helicopter Textron, Inc., Fort Worth, Texas, "Design and Stress Analysis of Low-Noise Adjusted Bearing Contact Spiral Bevel Gears"。NASA/CR—2002-211344, ARL-CR-486 January 2002
[15] Faydor L. Litvin University of Illinois at Chicago, Chicago, Illinois Alfonso Fuentes Polytehnic University of Cartagena, Cartagena, Spain。Ignacio Gonzalez-Perez, Luca Carnevali, and Kazumasa Kawasaki, University of Illinois at Chicago, Chicago, Illinois "Modified Involute Helical Gears:Computerized Design, Simulation of Meshing, and Stress Analysis" NASA/CR--2003-212229 ARL-CR-514 June 2003
[16] Faydor L. Litvin and Alfonso Fuentes University of Illinois at Chicago, Chicago, Illinois Baxter R. Mullins and Ron
Woods Bell Helicopter Textron, Inc., Forth Worth, Texas "Computerized Design, Generation, Simulation of Meshing and Contact, and Stress Analysis of Formate Cut Spiral Bevel Gear Drives" NASA/CR—2003-212336 ARL-CR-525 June 2003
[17] Faydor L. Litvin and Jian Lu "New Methods for Improved Double Circular-Arc Helical Gears" NASA Contractor Report 4771 Army Research Laboratory ARL-CR-339 JULY 1997
[18] 阎树田，张思成，胡立志等，圆弧齿轮副轴线误差对传动精度的影响，甘肃工业大学学报，2002(1)：42-44
[19] 武宝林。安装误差对双圆弧齿轮传动误差的影响分析。ICME2000国际学术会议论文集
[20] 段德荣。圆弧齿轮啮合原理的误区。郑州自治州子；机械传动，1996(3)：8-12
[21] 段德荣。双圆弧齿轮传动的啮合分析(1)齿面方程与端面齿廓。太原工业大学学报，1985(4)；83-90
[22] 段德荣。双圆弧齿轮传动的啮合分析(2)正确啮合条件及齿形干涉浅析。太原工业大学学报。1985(4)；91-100
[23] 段德荣。双圆弧齿轮传动的啮合分析(3)齿数及螺旋角的影响。太原工业大学学报，1985(4)：101-108
[24] 王铁。双圆弧齿轮的跑合机理。机械传动。1997(2)：79-80
[25] 王铁。双圆弧齿轮参数的合理选择
[26] 陈谌闻，陈荣增，陈式春。双圆弧齿轮的接触疲劳强度计算方法。机械工程学报，1988(4)：27-33
[27] 孙大乐，杨文通，蔡春源。双圆弧齿轮齿间，接触迹间载荷分配分析。机械传动，1996(1)：7-9
[28] 刘浩然 圆弧点啮合齿轮的偏载与修形 机械科学与技术，1990(1)：1-5
[29] 张晋西，郭学琴，齿轮三维参数化建模与加工运动仿真。机械设计，2002年3月NO3
[30] 王铁，邵家辉，陈永康。超短齿硬齿面双圆弧齿轮传动的强度计算和应用。机械传动，1993(3)：72-81
[31] 唐定国，陈国民。齿轮传动技术的现状与展望。机械工程学报，1993(5)：35-42
[32] 王声堂，杨歧华，蒋荣孝，21世纪齿轮行业发展战略的建议。机械传动，1992(5)46-49
[33] 孙旭光 双圆弧齿轮传动CAD与优化设计 硕士学位论文
[34] 张静．双圆弧齿轮齿形参数的有限元分析与优化设计 硕士学位论文
[35] 陈荣增等 圆弧齿圆柱齿轮传动 高等教育出版社 1995．2
[36] 邵家辉，圆弧齿轮，北京，机械工业出版社1994年12月第4期
[2] 赵荣，李阳星，周广林等。基于遗传算法的双圆弧齿轮传动的模糊可靠性优化设计。煤矿机械，2002(3)：8-10
[3] 赵彦如，王学永，赵燕，双圆弧齿轮传动的模糊可靠性优化设计，机械传动，2001(1)：9-11
[4] 张瑞亮，王铁。双圆弧传动的模糊可靠性设计方法。现代制造工程，2001(10)：36-38
[5] J. Brugioni, T. Forbang, A. Sheta, and A.I. Haque "The Finite Element Method Applied to Structural Analysis"
[6] Matthew W. Roberts, Luciana R. Barroso, and Loren D. Lutes " A NONLINEAR FINITE ELEMENT TOOLBOX For STRUCTURAL CONTROL"
[7] Stepan V. Lunin. Finite Element Method for tooth stress analyses.
[8] Stepan V. Lunin. NEW DISCOVERIES IN WN GEAR GEOMETRY
[9] 蔡春源，鄂中凯，何德芳。双圆弧齿轮轮齿应力分布的三维有限元分析。冶金设备，1984(5)：1-3
[10] 吴伟光，陈谌闻，以三维有限元法为基础分析不同螺旋角双圆弧轮齿的齿根应力。齿轮。1986(1)12-15
[11] 贾毅，用三维有限元法对双圆弧齿轮变形的研究。郑州：齿轮，1989(4)：8-12
[12] Faydor L. Litvin, Pin-Hao Feng, and Sergei A. Lagutin
"Computerized Generation and Simulation of Meshing and Contact of New Type ofNovikov-Wildhaber Helical Gears ", NASA/CR--2000-209415, ARL-CR-428
[13] Faydor L. Litvin, Qi Fan, Daniele Vecchiato,, and Alberto DemenegoUniversity of Illinois at Chicago, Chicago, Illinois "Computerized Generation and Simulation of Meshing of Modified Spur and Helical Gears Manufactured by Shaving" NASA/CR--2001-210893, ARL-CR-468 May 2001
[14] Faydor L. Litvin and Alfonso Fuentes University of Illinois at Chicago, Chicago, Illinois, Baxter R. Mullins and Ron WoodsBell Helicopter Textron, Inc., Fort Worth, Texas, "Design and Stress Analysis of Low-Noise Adjusted Bearing Contact Spiral Bevel Gears"。NASA/CR—2002-211344, ARL-CR-486 January 2002
[15] Faydor L. Litvin University of Illinois at Chicago, Chicago, Illinois Alfonso Fuentes Polytehnic University of Cartagena, Cartagena, Spain。Ignacio Gonzalez-Perez, Luca Carnevali, and Kazumasa Kawasaki, University of Illinois at Chicago, Chicago, Illinois "Modified Involute Helical Gears:Computerized Design, Simulation of Meshing, and Stress Analysis" NASA/CR--2003-212229 ARL-CR-514 June 2003
[16] Faydor L. Litvin and Alfonso Fuentes University of Illinois at Chicago, Chicago, Illinois Baxter R. Mullins and Ron
Woods Bell Helicopter Textron, Inc., Forth Worth, Texas "Computerized Design, Generation, Simulation of Meshing and Contact, and Stress Analysis of Formate Cut Spiral Bevel Gear Drives" NASA/CR—2003-212336 ARL-CR-525 June 2003
[17] Faydor L. Litvin and Jian Lu "New Methods for Improved Double Circular-Arc Helical Gears" NASA Contractor Report 4771 Army Research Laboratory ARL-CR-339 JULY 1997
[18] 阎树田，张思成，胡立志等，圆弧齿轮副轴线误差对传动精度的影响，甘肃工业大学学报，2002(1)：42-44
[19] 武宝林。安装误差对双圆弧齿轮传动误差的影响分析。ICME2000国际学术会议论文集
[20] 段德荣。圆弧齿轮啮合原理的误区。郑州自治州子；机械传动，1996(3)：8-12
[21] 段德荣。双圆弧齿轮传动的啮合分析(1)齿面方程与端面齿廓。太原工业大学学报，1985(4)；83-90
[22] 段德荣。双圆弧齿轮传动的啮合分析(2)正确啮合条件及齿形干涉浅析。太原工业大学学报。1985(4)；91-100
[23] 段德荣。双圆弧齿轮传动的啮合分析(3)齿数及螺旋角的影响。太原工业大学学报，1985(4)：101-108
[24] 王铁。双圆弧齿轮的跑合机理。机械传动。1997(2)：79-80
[25] 王铁。双圆弧齿轮参数的合理选择
[26] 陈谌闻，陈荣增，陈式春。双圆弧齿轮的接触疲劳强度计算方法。机械工程学报，1988(4)：27-33
[27] 孙大乐，杨文通，蔡春源。双圆弧齿轮齿间，接触迹间载荷分配分析。机械传动，1996(1)：7-9
[28] 刘浩然 圆弧点啮合齿轮的偏载与修形 机械科学与技术，1990(1)：1-5
[29] 张晋西，郭学琴，齿轮三维参数化建模与加工运动仿真。机械设计，2002年3月NO3
[30] 王铁，邵家辉，陈永康。超短齿硬齿面双圆弧齿轮传动的强度计算和应用。机械传动，1993(3)：72-81
[31] 唐定国，陈国民。齿轮传动技术的现状与展望。机械工程学报，1993(5)：35-42
[32] 王声堂，杨歧华，蒋荣孝，21世纪齿轮行业发展战略的建议。机械传动，1992(5)46-49
[33] 孙旭光 双圆弧齿轮传动CAD与优化设计 硕士学位论文
[34] 张静．双圆弧齿轮齿形参数的有限元分析与优化设计 硕士学位论文
[35] 陈荣增等 圆弧齿圆柱齿轮传动 高等教育出版社 1995．2
[36] 邵家辉，圆弧齿轮，北京，机械工业出版社1994年12月第4期