凸轮激波滚动活齿传动的齿廓修形及受力分析

发布时间：2018-06-23 05:15

本文选题：凸轮激波活齿传动 + 齿廓修形　；参考：《北京工业大学》2011年硕士论文

【摘要】：二齿差凸轮激波滚动活齿传动是一种新的活齿传动形式,其最显著的特点是激波器廓线采用椭圆曲线,结构呈轴对称形式,从而使整个传动装置更加紧凑。本文在已有研究的基础上,进一步分析和完善凸轮激波滚动活齿传动的齿廓修形及受力分析理论。论文简述了活齿传动的发展历史、国内外研究现状及二齿差凸轮激波活齿传动的特点。论述了修形技术的研究现状及在实际应用中的重要意义。基于包络原理和相对运动法分别推导了一、二齿差滚动活齿传动的中心轮齿廓的理论廓线方程及工作齿形方程。推导了齿廓曲率公式、压力角公式,并分析了参数变化对齿廓曲率及压力角的影响。分析了中心内齿轮齿廓不发生干涉的条件,即活齿半径的取值必须小于中心内齿轮理论齿形在齿顶处的曲率半径。本文分析了各种修形方式的特点,包括单参数修形及复合参数修形,并绘制出了修形后中心轮齿廓的形状。详细推导了同时适用于单参数修形和复合参数修形的通用齿形方程。分析了修形后齿廓的径向间隙和法向间隙,法向间隙的大小直接影响中心轮齿廓的受力状态。推导了修形后齿廓的几何相对转角,而几何相对转角是计算活齿传动装置几何回差及修形后受力分析的基础。基于接触变形以及变形协调理论提出了活齿啮合副受力分析的模型和算法。计算了二齿差滚动活齿传动齿廓的受力,其特点是受力活齿分别位于两个呈轴对称分布的啮合区域中,两啮合区中各对称布位齿廓处啮合力等值反向。修形后齿廓的受力计算则通过改变标准齿廓受力时的变形协调方程,将修形后齿廓的法向间隙量转换到激波凸轮与活齿啮合方向,加入变形协调方程中。提出了一种新的齿廓修形方法—间隙逐点可控修形法,并给出了具体的算法。根据标准齿廓受力趋势,通过搜索算法求出了修形后中心轮齿廓的受力曲线,并计算出修形后齿廓的法向间隙。由修形后的齿廓法向间隙,根据齿廓上点的等效原理,绘出了修形后的中心轮齿廓的工作廓线。
[Abstract]:The two-tooth difference cam shock wave rolling movable tooth drive is a new movable tooth transmission form. The most remarkable feature is that the shock wave profile is elliptic curve and the structure is axisymmetric so that the whole transmission device is more compact. Based on the existing research, this paper further analyzes and perfects the theory of tooth profile modification and force analysis of cam shock wave rolling movable tooth transmission. In this paper, the development history of movable tooth drive, the research status at home and abroad and the characteristics of two tooth difference cam shock wave movable tooth drive are briefly introduced. This paper discusses the research status and the important significance in practical application of shape modification technology. Based on the envelope principle and the relative motion method, the theoretical profile equation and the working tooth profile equation of the center gear profile of the rolling movable tooth drive with one and two teeth difference are derived respectively. The formula of tooth profile curvature and pressure angle are derived, and the influence of parameter change on tooth profile curvature and pressure angle is analyzed. The condition that the tooth profile of the central gear does not interfere is analyzed, that is, the value of the radius of the movable tooth must be smaller than the curvature radius of the theoretical tooth form in the center of the gear at the top of the tooth. In this paper, the characteristics of various modification methods, including single parameter modification and compound parameter modification, are analyzed, and the tooth profile of the modified center wheel is drawn. The general tooth profile equation which is suitable for both single parameter modification and compound parameter modification is derived in detail. The radial clearance and normal clearance of the modified tooth profile are analyzed. The normal clearance has a direct effect on the force state of the center gear tooth profile. The geometric relative rotation angle of the modified tooth profile is derived, and the geometric relative rotation angle is the basis for the calculation of the geometric return error of the movable tooth transmission and the analysis of the force after the modification. Based on the theory of contact deformation and deformation coordination, the model and algorithm of force analysis of movable tooth meshing pair are presented. The force acting on the tooth profile of the two-tooth difference rolling movable tooth transmission is calculated. The characteristic of the force is that the movable tooth is located in two axisymmetric distribution meshing regions, and the meshing force at the tooth profile of each symmetrical position in the two meshing regions is equivalent reverse. By changing the deformation coordination equation of the modified tooth profile, the normal clearance of the modified tooth profile is converted to the meshing direction of the shock cam and the movable tooth, and the deformation coordination equation is added to the deformation coordination equation. In this paper, a new method of tooth profile modification is presented, which is controlled by point, and a concrete algorithm is given. According to the force trend of the standard tooth profile, the force curve of the modified center gear tooth profile is obtained by searching algorithm, and the normal clearance of the modified tooth profile is calculated. According to the equivalent principle of the point on the tooth profile, the working profile of the modified center gear tooth profile is drawn from the normal clearance of the modified tooth profile.
【学位授予单位】：北京工业大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：TH132.41

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