正交非圆面齿轮副的传动设计与特性分析

发布时间：2018-03-16 07:08

本文选题：非圆齿轮　切入点：面齿轮　出处：《重庆大学》2012年硕士论文　论文类型：学位论文

【摘要】：正交非圆面齿轮副是在非圆锥齿轮副的研究基础上提出一种新型的相交轴间变传动比齿轮副，其结合了非圆齿轮、非圆锥齿轮和面齿轮三者共同的传动特点，可用来传递相交轴间的运动和动力，在工程机械、农用机械、纺织机械、汽车等场合，具有潜在的应用前景。因此，对正交非圆面齿轮副的研究具有重要的理论意义。本课题来源于国家自然科学基金项目，主要目的是探索一种正交非圆面齿轮副的基本传动原理、通用几何设计方法、分析与加工制造方法，并最终通过实验验证所采用的原理及研究方法的正确性。针对正交非圆面齿轮副，本文开展的主要研究工作如下：依据空间齿轮啮合原理及微分几何等相关理论，，研究了正交非圆面齿轮副基本传动原理，建立了其啮合坐标系，推导了正交非圆面齿轮的节曲线，齿顶曲线，齿根曲线的参数方程；提出了正交非圆面齿轮接触痕迹限制在局部的加工方法，确定了加工刀具的基本参数，分析了加工过程中刀具的空间走刀轨迹，结合加工刀具的齿面方程与齿轮共轭的基本原理，得到了正交非圆面齿轮的齿面参数方程；由空间齿轮不产生根切的条件，讨论了正交非圆面齿轮避免根切的方法，研究了正交非圆面齿轮齿面变尖现象，得出正交非圆面齿轮齿宽合理取值范围；分别推导了正交非圆面齿轮副的压力角、角位移、角速度、角加速度公式，对正交非圆面齿轮副的压力角变化特性、运动特性进行了分析，讨论了偏心率、主从动轮的阶数、阶数比及初始输入角速度等各种几何参数对其压力角、传动比、从动轮的角位移、角速度及角加速度特性的影响变化关系；揭示了正交非圆面齿轮副在各种参数影响下的运动学变化规律；利用模态分析的基本原理和相关有限元分析软件，获得了正交非圆面齿轮的固有频率，对比分析了正交非圆面齿轮的阶数及偏心率等参数对其固有频率的影响变化规律；利用三维软件Solidworks的二次开发接口，开发了正交非圆面齿轮副设计与分析系统，分析了正交非圆面齿轮副设计所需相关参数的选择方式及原则，获得了正交非圆面齿轮副三维实体模型与装配体模型；研究了正交非圆面齿轮的三轴精铣加工原理，完成了正交非圆面齿轮副的加工，对其进行了对滚检查，并搭建了相应的试验台，对正交非圆面齿轮副进行了传动实验研究，通过实验结果与理论计算结果的对比，验证了正交非圆面齿轮副的设计方法、加工原理的正确性和可行性，为正交非圆面齿轮的工程实际应用奠定了理论基础。
[Abstract]:The orthogonal non-circular gear pair is based on the research of non-circular bevel gear pair. A new type of interaxial variable transmission ratio gear pair is proposed, which combines the common transmission characteristics of non-circular gear, non-bevel gear and face gear. It can be used to transfer the motion and power between intersecting shafts. It has potential application prospect in construction machinery, agricultural machinery, textile machinery, automobile and so on. Therefore, the research of orthogonal non-circular gear pair has important theoretical significance. The main purpose of this project is to explore the basic transmission principle, general geometric design method, analysis and manufacturing method of orthogonal non-circular gear pair. Finally, the principle and research method are verified by experiment. The main research work in this paper is as follows:. Based on the theory of space gear meshing and differential geometry, the basic transmission principle of orthogonal non-circular gear pair is studied, its meshing coordinate system is established, and the pitch curve and tooth top curve of orthogonal non-circular gear are deduced. The parameter equation of tooth root curve is put forward, the machining method of orthogonal non-circular gear contact trace is put forward, the basic parameters of machining tool are determined, and the tool path in space is analyzed. Combined with the basic principle of tooth surface equation and gear conjugation of machining tool, the tooth surface parameter equation of orthogonal non-circular gear is obtained, and the method of avoiding root cutting of orthogonal non-circular gear is discussed from the condition that space gear does not produce root cut. In this paper, the phenomenon of tooth face sharpening of orthogonal non-circular gear is studied, and the reasonable range of tooth width of orthogonal non-circular gear is obtained, and the formulas of pressure angle, angular displacement, angular velocity and angular acceleration of orthogonal non-circular gear pair are derived respectively. The characteristics of pressure angle change and motion characteristics of orthogonal non-circular gear pair are analyzed. The eccentricity, order number of main and slave driving wheel, order ratio and initial input angular velocity are discussed to its pressure angle and transmission ratio. According to the influence of angular displacement, angular velocity and angular acceleration, the kinematics of orthogonal non-circular gear pair under the influence of various parameters is revealed, and the basic principle of modal analysis and the related finite element analysis software are used. The natural frequency of orthogonal non-circular gear is obtained, and the influence of the order and eccentricity of orthogonal non-circular gear on its natural frequency is compared and analyzed. The design and analysis system of orthogonal non-circular gear pair is developed. The selection methods and principles of the parameters needed for the design of orthogonal non-circular gear pair are analyzed. The three-dimensional solid model and assembly body model of orthogonal non-circular gear pair are obtained. The machining principle of orthogonal non-circular gear is studied, the machining of orthogonal non-circular gear pair is completed, the rolling inspection is carried out, the corresponding test bed is built, and the transmission experiment of orthogonal non-circular gear pair is carried out. By comparing the experimental results with the theoretical results, the design method of orthogonal non-circular gear pairs is verified, and the correctness and feasibility of machining principle are verified, which lays a theoretical foundation for the practical engineering application of orthogonal non-circular gears.
【学位授予单位】：重庆大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH132.41

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