渐开线圆柱齿轮齿廓修形方法研究
发布时间：2018-08-15 14:49
【摘要】：因为渐开线圆柱齿轮传递运动性能良好,其加工工艺成熟,加工刀具简单。所以渐开线圆柱齿轮被广泛应用在机械传动系统中。然而齿轮轮齿在啮合过程中存在的热弹变形以及不可避免的制造误差、安装误差等会使渐开线齿轮在啮合过程中产生啮合冲击、振动以及噪声等影响传动平稳性的负面效果。如果仅凭提高制造精度和安装精度来改善传动性能,其制造成本势必急剧增加。大量的理论研究和实践证明:对渐开线齿轮的齿廓进行适当的修形能够有效地改善齿轮运转性能,提高其承载能力。针对车用变速器齿轮传动系统进行深入研究并提出一种全新的齿廓修形设计方法,为开发高速、重载工况下运转的高性能车用变速器提供技术支持。依据齿轮啮合原理在ABAQUS中建立齿轮参数化有限元分析模型,并选用动态接触算法对齿轮运转过程中的齿面接触载荷进行分析,在此基础上提出一种基于幂函数的齿廓修形方案。在此过程中,作者完成的主要工作如下:(1)从齿轮啮合传动特性入手分析齿轮啮合传动过程中的载荷分配规律,针对啮合传动中的由于啮合齿对的变化引起载荷突变的问题,从理论上论证齿轮修形可行性。深入总结现有齿轮修形技术的研究成果,重点围绕修形三要素(修形曲线、修形长度、最大修形量)展开。归纳总结常用确定修形长度、最大修形量的国际标准和经验方法,并介绍了常见修形曲线及其适用场合。(2)详细推导了标准齿轮齿廓曲线的节点坐标计算公式,论述了齿廓渐开线和齿根过渡曲线的节点坐标计算及两者的几何位置衔接问题。在此基础之上,提出基于幂函数的齿廓修形方法,并通过坐标变换详细推导修形曲线上节点坐标求解公式及修形系数的求解方法。(3)以文本文件为媒介,建立MATLAB与ABAQUS内核之间的联系,建立标准齿轮和基于幂函数的修形齿轮三维模型。文中还详细介绍了基于ABAQUS建立齿轮动态接触分析有限元模型的过程,并以不同啮合位置处最大Mises应力为评价修形效果的指标。针对修形长度、最大修形量取值受多种随机因素影响的特点,采用在经典响应面法基础之上改进的改进响应面法对基于幂函数的修形齿轮的修形参数进行迭代优化,所得的极值状态函数收敛点即为基于幂函数的修形齿轮最优修形参数组合。结果表明:基于幂函数的齿廓修形齿轮能够有效降低齿面接触区域的最大Mises应力,提高车用变速器齿轮啮合传动的平稳性。因此,基于幂函数齿廓修形研究对渐开线齿轮运动性能以及齿轮综合修等形的进一步研究都具备一定的参考价值和指导意义。
[Abstract]:Because the involute cylindrical gear transfer motion performance is good, its processing technology is mature, the cutting tool is simple. So involute cylindrical gear is widely used in mechanical transmission system. However, the thermoelastic deformation of gear teeth and the inevitable manufacturing errors, such as installation errors, will make involute gear meshing impact, vibration, noise and other negative effects that affect the transmission stability. If the transmission performance is improved by improving the manufacturing accuracy and installation precision, the manufacturing cost will increase sharply. A great deal of theoretical research and practice have proved that the proper modification of involute gear profile can effectively improve the gear running performance and increase its bearing capacity. In this paper, the gear transmission system of vehicle transmission is studied deeply and a new design method of tooth profile modification is put forward, which provides technical support for the development of high performance vehicle transmission under high speed and heavy load condition. According to the gear meshing principle, the parametric finite element analysis model of gear is established in ABAQUS, and the dynamic contact algorithm is selected to analyze the tooth surface contact load during the gear running. On this basis, a tooth profile modification scheme based on power function is proposed. In this process, the main work accomplished by the author is as follows: (1) starting from the characteristics of gear meshing transmission, the law of load distribution in gear meshing transmission is analyzed, aiming at the problem of load catastrophe caused by the change of meshing tooth pair in meshing transmission. The feasibility of gear modification is proved theoretically. This paper summarizes the existing research results of gear modification technology, focusing on three elements of modification (profile curve, modification length, maximum modification). In this paper, the international standards and experience methods for determining the modification length and the maximum modification quantity are summarized, and the common modification curves and their application are introduced. (2) the calculation formula of the node coordinates of the standard gear tooth profile curve is derived in detail. The joint coordinate calculation of tooth profile involute and tooth root transition curve and the connection of their geometric positions are discussed. On the basis of this, a tooth profile modification method based on power function is proposed, and the formula of node coordinate solution and the calculation method of modification coefficient are derived in detail by coordinate transformation. (3) text file is used as the medium. The relationship between MATLAB and ABAQUS kernel is established, and the 3D model of standard gear and modified gear based on power function is established. The process of establishing the finite element model of gear dynamic contact analysis based on ABAQUS is introduced in detail, and the maximum Mises stress at different meshing positions is taken as the index to evaluate the shape modification effect. In view of the fact that the modification length and the maximum modification value are affected by many random factors, the modified response surface method based on the classical response surface method is adopted to optimize the modification parameters of the modified gear based on the power function. The convergence point of the obtained extreme state function is the optimal modification parameter combination of the modified gear based on the power function. The results show that the tooth profile modified gear based on power function can effectively reduce the maximum Mises stress in the contact area of the tooth surface and improve the smoothness of the gear meshing drive of the vehicle transmission. Therefore, the study of tooth profile modification based on power function has certain reference value and guiding significance for the further study of involute gear kinematic performance and gear comprehensive modification.
【学位授予单位】：江苏理工学院
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TH132.41
本文编号：2184535
[Abstract]:Because the involute cylindrical gear transfer motion performance is good, its processing technology is mature, the cutting tool is simple. So involute cylindrical gear is widely used in mechanical transmission system. However, the thermoelastic deformation of gear teeth and the inevitable manufacturing errors, such as installation errors, will make involute gear meshing impact, vibration, noise and other negative effects that affect the transmission stability. If the transmission performance is improved by improving the manufacturing accuracy and installation precision, the manufacturing cost will increase sharply. A great deal of theoretical research and practice have proved that the proper modification of involute gear profile can effectively improve the gear running performance and increase its bearing capacity. In this paper, the gear transmission system of vehicle transmission is studied deeply and a new design method of tooth profile modification is put forward, which provides technical support for the development of high performance vehicle transmission under high speed and heavy load condition. According to the gear meshing principle, the parametric finite element analysis model of gear is established in ABAQUS, and the dynamic contact algorithm is selected to analyze the tooth surface contact load during the gear running. On this basis, a tooth profile modification scheme based on power function is proposed. In this process, the main work accomplished by the author is as follows: (1) starting from the characteristics of gear meshing transmission, the law of load distribution in gear meshing transmission is analyzed, aiming at the problem of load catastrophe caused by the change of meshing tooth pair in meshing transmission. The feasibility of gear modification is proved theoretically. This paper summarizes the existing research results of gear modification technology, focusing on three elements of modification (profile curve, modification length, maximum modification). In this paper, the international standards and experience methods for determining the modification length and the maximum modification quantity are summarized, and the common modification curves and their application are introduced. (2) the calculation formula of the node coordinates of the standard gear tooth profile curve is derived in detail. The joint coordinate calculation of tooth profile involute and tooth root transition curve and the connection of their geometric positions are discussed. On the basis of this, a tooth profile modification method based on power function is proposed, and the formula of node coordinate solution and the calculation method of modification coefficient are derived in detail by coordinate transformation. (3) text file is used as the medium. The relationship between MATLAB and ABAQUS kernel is established, and the 3D model of standard gear and modified gear based on power function is established. The process of establishing the finite element model of gear dynamic contact analysis based on ABAQUS is introduced in detail, and the maximum Mises stress at different meshing positions is taken as the index to evaluate the shape modification effect. In view of the fact that the modification length and the maximum modification value are affected by many random factors, the modified response surface method based on the classical response surface method is adopted to optimize the modification parameters of the modified gear based on the power function. The convergence point of the obtained extreme state function is the optimal modification parameter combination of the modified gear based on the power function. The results show that the tooth profile modified gear based on power function can effectively reduce the maximum Mises stress in the contact area of the tooth surface and improve the smoothness of the gear meshing drive of the vehicle transmission. Therefore, the study of tooth profile modification based on power function has certain reference value and guiding significance for the further study of involute gear kinematic performance and gear comprehensive modification.
【学位授予单位】：江苏理工学院
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TH132.41
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