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直齿锥齿轮齿形修形设计理论研究

发布时间:2018-03-30 09:27

  本文选题:直齿锥齿轮 切入点:实体建模 出处:《济南大学》2011年硕士论文


【摘要】:差速器作为汽车的关键部件对其各项性能都有重要影响,而齿轮传动系统是差速器的主要组成部分,因此齿轮传动的工作性能将直接影响汽车的性能指标。本文围绕差速器齿轮传动系统减振、降噪以及轮齿应力分布改善为目的,采用有限元动态啮合仿真的方法,研究了渐开线直齿锥齿轮修形(包括齿向修形和齿廓修形)技术。 直齿锥齿轮渐开线不同于圆柱齿轮的平面渐开线,为空间球面渐开线。由于空间球面渐开线复杂的空间结构,使其建模在CAD软件里难以直接实现,在进行直齿锥齿轮啮合传动分析时常采用圆弧曲线、背锥平面渐开线近似代替,因此将不可避免的产生建模误差,从而影响齿轮仿真分析结果的准确度。针对这一问题,本文运用Matlab和SolidWorks联合建模的方法实现了直齿锥齿轮的精确造型。模型是通过参数化程序建立起来的,因此只需修改尺寸参数,如压力角、齿数、模数、球面半径等,就可以得到不同参数的类似锥齿轮模型。建模效率和模型精度得到提高,而且方便模型的修改。 本文提出基于SolidWorks-ANSYS-LS-DYNA联合建模求解技术,详细介绍了锥齿轮动态仿真分析有限元模型的建立过程,给出了动态啮合仿真的约束及边界条件的施加方法。采用LS-PREPOST后处理器提取啮合应力、加速度等仿真信息,该方法可提供以满足提高齿轮副工作性能为目标的修形设计方法依据。 齿轮轮齿的变形以及制造、安装误差的存在,使啮合过程中轮齿的法节不再相等,从而造成轮齿啮合的振动和冲击,因此,必须对轮齿进行齿廓修形。本文给出了齿廓修形的方法,经仿真分析得到齿廓修形锥齿轮啮合传动的时间历程信息。齿廓修形可以很好的改善轮齿啮合的冲击,从而起到减振、降噪的作用。轮齿的端啮现象说明齿向修形的必要性,锥齿轮齿向修形时,鼓形齿的鼓形量、鼓形位置难以调整,且其工艺很难实现,限制了修形技术在锥齿轮上的应用,本文提出齿向等距修形的概念,通过改变等距修形廓形的位置和修形量的大小来控制锥齿轮副的接触区。该方法同通过调整机床获得的齿形鼓形的方法相比,既方便得到理想的修形位置,又可得到理想的修形量,为得到满足不同类型、精度、工况条件下的修形齿形,提供了方便、可行的途径。
[Abstract]:As the key component of the automobile, the differential gear transmission system is the main component of the differential gear transmission system, so the performance of the gear transmission will directly affect the performance index of the automobile.The involute of straight bevel gear is different from the planar involute of cylindrical gear and is a space spherical involute.Because of the complex space structure of the involute of the space sphere, it is difficult to realize the modeling in the CAD software directly. In the analysis of the meshing transmission of the straight bevel gear, the arc curve is often used, and the involute of the back cone plane is approximately replaced by the involute of the back cone plane.Therefore, modeling errors will inevitably occur, which will affect the accuracy of gear simulation analysis.The model is built by parameterization program, so the similar bevel gear model with different parameters can be obtained by modifying the dimension parameters, such as pressure angle, tooth number, modulus, spherical radius, etc.The efficiency and precision of the model are improved, and the modification of the model is convenient.In this paper, a joint modeling and solving technique based on SolidWorks-ANSYS-LS-DYNA is proposed. The establishment of finite element model for dynamic simulation analysis of bevel gears is introduced in detail. The constraint of dynamic meshing simulation and the method of applying boundary conditions are given.The deformation, manufacture and installation errors of gear teeth make the normal joints of gear teeth no longer equal in the course of meshing, resulting in the vibration and impact of gear teeth meshing. Therefore, tooth profile modification must be carried out.In this paper, the method of tooth profile modification is given, and the time history information of tooth profile modification bevel gear meshing transmission is obtained by simulation analysis.Tooth profile modification can improve the impact of gear meshing, so as to reduce vibration and noise.The phenomenon of end gnawing of gear tooth shows the necessity of tooth modification. When bevel gear tooth profile is modified, it is difficult to adjust the drum shape and position of drum tooth, and its technology is difficult to realize, which limits the application of shape modification technology in bevel gear.In this paper, the concept of tooth offset modification is proposed, and the contact area of bevel gear pair is controlled by changing the position of equidistant modification profile and the size of modification.Compared with the method of adjusting the tooth shape and drum shape obtained by the machine tool, this method can not only obtain the ideal modification position but also obtain the ideal modification quantity, which provides convenience for obtaining the tooth shape modification under different types, accuracy and working conditions.A viable path.
【学位授予单位】:济南大学
【学位级别】:硕士
【学位授予年份】:2011
【分类号】:TH132.41

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