SGM弧齿锥齿轮设计参数与时变啮合刚度关系的研究
发布时间：2018-12-12 09:36
【摘要】：SGM弧齿锥齿轮作为航空机械中的重要传动部件,其性能对于整机的稳定工作有着较大的影响,尤其是其在动力学响应中的表现直接影响了工作寿命,噪声以及航空整机的安全。时变啮合刚度是齿轮及齿轮系统动力学研究的前提和基础,所以研究载荷对SGM弧齿锥齿轮力学和传动性能的影响以及单齿时变啮合刚度对于SGM弧齿锥齿轮的发展和进步有着非常重要的作用。 本文基于CATIA三维建模功能,通过虚拟加工和曲面拟合获得精确的几何模型。利用ABAQUS软件的有限元功能对精确的齿轮几何模型进行加载接触分析,通过接触应力、齿根弯曲应力、传动误差曲线、重合度等分析结果,研究载荷对SGM齿轮力学与传动性能的影响。 以齿轮的加载接触分析为基础,计算单齿时变啮合刚度在啮合周期中变化的离散数值,利用MATLAB提供的回归工具,拟合出SGM齿轮单齿时变啮合刚度的曲线图,并以非线性的回归理论为基础得到单齿啮合刚度与小轮转角之间的计算公式,确定在齿轮的啮合过程中,单齿时变啮合刚度呈抛物线型的变化。 通过理论分析与实例验证的方式确定了滚比修正对于SGM齿轮单齿啮合刚度的影响是：齿面修正达到±1%时,刚度的变化不到5%。并最后确定小轮齿数,大轮齿数,端面模数作为单齿啮合刚度时变特征系数的影响因子。 根据统计学中三因子拉丁方试验设计的理论基础,针对设计参数小轮齿数z1、大轮齿数z2和端面模数m对SGM弧齿锥齿轮单齿啮合刚度时变特性系数的影响,进行了三因子试验的部分实施。对试验结果数据进行分析处理,利用多元非线性回归的方法得出针对这三个主要设计参数的时变啮合刚度估算公式,并验证其精度。
[Abstract]:As an important transmission part in aeronautical machinery, the performance of SGM spiral bevel gear has a great influence on the stability of the whole machine, especially its performance in the dynamic response directly affects the working life, noise and the safety of the aircraft. The time-varying meshing stiffness is the premise and foundation of the research on gear and gear system dynamics. Therefore, it is very important for the development and progress of SGM spiral bevel gear to study the influence of load on the mechanical and transmission performance of SGM spiral bevel gear and the time-varying meshing stiffness of single tooth. Based on the 3D modeling function of CATIA, the accurate geometric model is obtained by virtual machining and surface fitting. Using the finite element function of ABAQUS software, the accurate gear geometry model is analyzed by loading contact analysis. The results of contact stress, tooth root bending stress, transmission error curve, coincidence degree, etc. The effect of load on the mechanical and transmission performance of SGM gears is studied. Based on the load contact analysis of gears, the discrete values of time-varying meshing stiffness of single tooth during the meshing period are calculated. By using the regression tool provided by MATLAB, the curve of time-varying meshing stiffness of SGM gear with single tooth is fitted. On the basis of nonlinear regression theory, the calculation formula between single tooth meshing stiffness and wheel rotation angle is obtained. It is determined that the time-varying meshing stiffness of single tooth changes with parabola in the course of gear meshing. The effect of roll ratio modification on the meshing stiffness of SGM gear is determined by theoretical analysis and practical example. When the tooth surface correction reaches 卤1, the stiffness change is less than 5 parts. Finally, the number of gear teeth, the number of teeth of large wheels and the modulus of the end face are determined as the influence factors of the time-varying characteristic coefficients of the meshing stiffness of single teeth. According to the theoretical basis of three factors Latin square test design in statistics, the effects of design parameters such as small gear tooth number z1, large gear tooth number z2 and end face modulus m on the time-varying characteristic coefficient of meshing stiffness of SGM arc bevel gear are studied. The partial implementation of the three-factor test was carried out. The experimental data are analyzed and processed, and the estimation formula of time-varying meshing stiffness for these three main design parameters is obtained by using the method of multivariate nonlinear regression, and its accuracy is verified.
【学位授予单位】：中南大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH132.41
本文编号：2374340
[Abstract]:As an important transmission part in aeronautical machinery, the performance of SGM spiral bevel gear has a great influence on the stability of the whole machine, especially its performance in the dynamic response directly affects the working life, noise and the safety of the aircraft. The time-varying meshing stiffness is the premise and foundation of the research on gear and gear system dynamics. Therefore, it is very important for the development and progress of SGM spiral bevel gear to study the influence of load on the mechanical and transmission performance of SGM spiral bevel gear and the time-varying meshing stiffness of single tooth. Based on the 3D modeling function of CATIA, the accurate geometric model is obtained by virtual machining and surface fitting. Using the finite element function of ABAQUS software, the accurate gear geometry model is analyzed by loading contact analysis. The results of contact stress, tooth root bending stress, transmission error curve, coincidence degree, etc. The effect of load on the mechanical and transmission performance of SGM gears is studied. Based on the load contact analysis of gears, the discrete values of time-varying meshing stiffness of single tooth during the meshing period are calculated. By using the regression tool provided by MATLAB, the curve of time-varying meshing stiffness of SGM gear with single tooth is fitted. On the basis of nonlinear regression theory, the calculation formula between single tooth meshing stiffness and wheel rotation angle is obtained. It is determined that the time-varying meshing stiffness of single tooth changes with parabola in the course of gear meshing. The effect of roll ratio modification on the meshing stiffness of SGM gear is determined by theoretical analysis and practical example. When the tooth surface correction reaches 卤1, the stiffness change is less than 5 parts. Finally, the number of gear teeth, the number of teeth of large wheels and the modulus of the end face are determined as the influence factors of the time-varying characteristic coefficients of the meshing stiffness of single teeth. According to the theoretical basis of three factors Latin square test design in statistics, the effects of design parameters such as small gear tooth number z1, large gear tooth number z2 and end face modulus m on the time-varying characteristic coefficient of meshing stiffness of SGM arc bevel gear are studied. The partial implementation of the three-factor test was carried out. The experimental data are analyzed and processed, and the estimation formula of time-varying meshing stiffness for these three main design parameters is obtained by using the method of multivariate nonlinear regression, and its accuracy is verified.
【学位授予单位】：中南大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH132.41
【引证文献】
相关博士学位论文 前1条
1 王立华;汽车螺旋锥齿轮传动耦合非线性振动研究[D];重庆大学;2003年
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