多面体螺旋曲线啮合齿轮变速器几何学设计理论研究

发布时间：2018-01-19 13:26

本文关键词： 变速器齿轮几何学设计空间曲线啮合螺旋曲线啮合　出处：《华南理工大学》2014年博士论文　论文类型：学位论文

【摘要】：在现代机械中，齿轮变速器被广泛用于各种原动机和工作机之间，起着匹配转速和传递转矩的作用。传统齿轮变速器采用传统曲面啮合齿轮作为传动部件，在结构和大小方面受到一定的限制，其输出数目比较有限。空间曲线啮合齿轮是一种基于空间曲线啮合原理的新型齿轮。目前，该齿轮已经具备了一定的设计理论和制造基础，其啮合理论、重合度、弹性变形准则、弯曲强度校核准则、制造工艺以及安装精度分析等均取得一定的进展，已开始逐步应用至微小变速器等领域。其中，螺旋曲线啮合齿轮是最常见的空间曲线啮合齿轮，其技术最为成熟。本文基于螺旋曲线啮合齿轮提出了一种多轴输出的微小变速器——多面体螺旋曲线啮合齿轮变速器，并系统地研究了其几何学设计理论。该变速器的主要特征包括齿轮组的应用、传动轴的多面体三维几何布局、单输入多输出的并联式单级传动和串-并联混合式的多级传动方式等。该变速器具有尺寸小，质量轻，灵活性高等特点，特别适合作为微小机械装置的变速机构。具体而言，本文的研究内容主要包括以下四个方面： 1．钩杆半径不相等的螺旋曲线啮合齿轮设计理论。根据空间曲线啮合齿轮传动基于钩杆接触线的建模思路，求解了空间曲线啮合齿轮的啮合方程、接触线方程和中心线方程；给出了螺旋曲线啮合齿轮的相关方程，并在设定主、从动钩杆半径不相等的条件下，推导得到了主、从动钩杆的中心线方程，完成了主、从动齿轮的三维实体建模，并通过软件仿真和实物验证了其传动的连续性。 2．多面体螺旋曲线啮合齿轮变速器的布局规范与安装尺寸链计算公式。分析了螺旋曲线啮合齿轮副在斜交轴、正交轴与平行轴三种情况下的安装尺寸链；设计了单主动轮-多从动轮的螺旋曲线啮合齿轮组；研究了齿轮组的初始安装角度；分析了齿轮组的啮合情况，进而提出了完成啮合的必要条件；在齿轮组的基础上，提出了多面体螺旋曲线啮合齿轮变速器的概念与安装规范，并推导得到传动系统和箱体结构尺寸的设计公式。 3．多面体螺旋曲线啮合齿轮变速器几何约束与不干涉条件的计算公式。分别从接触线、齿轮副和齿轮组三个层面对螺旋曲线啮合齿轮传动的几何约束进行了定义和计算，并相应地提出了接触线互不干涉条件、齿轮副互不干涉条件和齿轮组互不干涉条件；以带有螺旋曲线啮合齿轮组的正四面体螺旋曲线啮合齿轮变速器作为例子，，运用本文研究的几何约束和不干涉条件进行设计计算，确定了各坐标系位置参数的选择范围。 4．螺旋曲线啮合齿轮基于滑动率的坐标系位置参数选用准则及计算公式。参照传统的空间共轭曲面啮合齿轮，定义并计算了空间共轭曲线、空间曲线啮合齿轮接触线及螺旋曲线啮合齿轮接触线的滑动率；分析了螺旋曲线啮合齿轮中接触线滑动率的单调性与可行域，并确定了其最优啮合条件与坐标系位置参数选用准则及计算公式。
[Abstract]:in modern machinery , a gear transmission is widely used between a variety of prime mover and a work machine to play that role of matching rotation speed and transmission torque , and the traditional gear transmission adopts a traditional curved mesh gear as a transmission component , and has certain limitation in structure and size , and the output number of the gear transmission is limited . Space curve mesh gear is a new kind of gear which is based on the principle of space curve meshing . At present , the gear already has certain design theory and manufacturing base , its meshing theory , coincidence degree , elastic deformation criterion , bending strength check criterion , manufacturing process and installation precision analysis have made certain progress . This paper presents a multi - axis output micro - transmission _ polyhedral helical curve meshing gear transmission based on the meshing gear of helical curve , and systematically studies its geometric design theory . The main characteristics of the transmission include the application of gear set , the three - dimensional geometric layout of the transmission shaft , the parallel single - stage transmission of single - input multiple output and the multi - stage transmission mode of serial - parallel hybrid type . The transmission has the characteristics of small size , light weight , high flexibility and the like , and is particularly suitable for the transmission mechanism of the minute mechanical device . In particular , the research contents of this paper mainly include the following four aspects : 1 . The meshing equation , contact line equation and center line equation of the meshing gear of the space curve are solved according to the modeling idea of the meshing gear transmission based on the space curve meshing gears . The equations of the meshing gear of the helical curve are solved , and the equations of the center line of the main and driven gear are deduced . The three - dimensional solid modeling of the main and driven gears is completed , and the continuity of the transmission is verified by software simulation and physical verification . 2 . The layout specification and the installation dimension chain calculation formula of the meshing gear transmission of the polyhedral helical curve are analyzed . The helical curve meshing gear set of the helical curve mesh gear pair in the oblique axis , the orthogonal axis and the parallel shaft is analyzed , the initial installation angle of the gear set is designed , the meshing condition of the gear set is analyzed , the concept and installation specifications of the meshing gear transmission of the polyhedral helical curve are put forward , and the design formula of the transmission system and the box structure size is derived . 3 . The geometric constraints and non - interference conditions are defined and calculated from three aspects of the contact line , the gear pair and the gear set . The geometric constraints and the non - interference conditions of the gear sets are presented . The geometric constraints and the non - interference conditions of the meshing gear set with the helical curve are used as an example , and the selection range of the position parameters of each coordinate system is determined . 4 . The selection criterion and the calculation formula for the position parameters of the coordinate system based on the slip ratio of the helical curve mesh gear are defined . The space conjugate curve , the meshing gear contact line and the helical curve mesh gear contact line sliding rate are defined and calculated with reference to the traditional space conjugate curved surface meshing gear . The monotonicity and the feasible region of the contact wire slip ratio in the helical curve mesh gear are analyzed , and the selection criterion and the calculation formula of the optimal meshing condition and the coordinate system position parameter are determined .

【学位授予单位】：华南理工大学
【学位级别】：博士
【学位授予年份】：2014
【分类号】：TH132.46

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