大型齿轮测量中心齿轮安装误差补偿技术研究

发布时间：2018-03-06 08:13

本文选题：大齿轮测量　切入点：安装误差　出处：《哈尔滨工业大学》2014年硕士论文　论文类型：学位论文

【摘要】：大型齿轮测量中心是针对大齿轮离线测量研发设计的高精密测量设备，其特点是测量效率高精度高应用范围广，可以实现大齿轮一次安装便可测量齿廓偏差齿距偏差螺旋线偏差等误差项但是由于大型齿轮测量中心结构变形而导致上顶尖偏离理论位置以及结合大齿轮尺寸大质量大的特点，使得齿轮安装时自身几何中心线与测量仪器主轴旋转中心线对中困难，安装误差难以消除，从而影响测量精度针对大齿轮安装误差问题，以大型渐开线圆柱直齿轮为对象，展开了大齿轮安装误差补偿技术的研究分析研究了齿轮测量和齿轮安装误差补偿技术的国内外现状；针对渐开线圆柱直齿轮进行数学建模，推导渐开线齿面的直角坐标方程和法向量方程；结合齿轮在测量中心有顶尖和无顶尖两种装卡方式，分别分析了两种方式下的齿轮安装位姿误差并确定了安装误差参数，基于坐标变换原理，建立了齿轮安装位姿误差补偿模型；为确定齿轮安装位姿参数，建立了齿轮在两种装卡方式下的位姿参数测量方案，采用最小二乘原理和实用谐波分析技术，编写MATLAB数据处理程序，完成了齿轮安装位姿参数的标定；结合齿轮安装位姿参数和误差补偿模型，完成了齿廓偏差的计算实验基于同和T50型齿轮测量中心，，通过对齿轮样板和内齿圆柱轮检测分别验证了标定方案的可行性，以及通过齿轮安装误差补偿模型修正上顶尖偏心安装的齿轮样板齿廓偏差，验证了误差补偿系统的正确性
[Abstract]:The large gear measuring center is a high precision measuring equipment designed for off-line measurement of large gears. Its characteristic is that the measuring efficiency, high precision and high application range are wide. The error items such as tooth profile deviation, tooth pitch deviation, helical deviation and so on can be measured after one installation. However, due to the deformation of the measuring center structure of large gears, the top center deviates from the theoretical position and combines the characteristics of large gears with large size and large mass. When the gear is installed, it is difficult to align the geometric centerline with the rotating centerline of the main axis of the measuring instrument, and the installation error is difficult to eliminate, thus affecting the measuring accuracy for the problem of the installation error of the large involute cylindrical straight gear, and taking the large involute cylindrical spur gear as the object. The research on error compensation technology of large gear installation is carried out. The present situation of gear measurement and gear installation error compensation technology is analyzed and studied, and the mathematical modeling of involute cylindrical spur gear is carried out, and the rectangular coordinate equation and normal vector equation of involute tooth surface are derived. Combined with the two loading modes of the gear with or without the center of the measuring center, the positioning error of the gear in the two ways is analyzed, and the parameters of the installation error are determined, based on the principle of coordinate transformation. The error compensation model of gear mounting position and pose is established, and the measuring scheme of gear position and pose parameter under two kinds of loading mode is established in order to determine the gear position and pose parameter. The least square principle and practical harmonic analysis technique are adopted. The MATLAB data processing program was compiled to calibrate the gear mounting position and pose parameters, and the tooth profile deviation was calculated by combining the gear mounting posture parameters and error compensation model. Based on the same and T50 gear measuring center, the feasibility of the calibration scheme is verified by the detection of the gear template and the inner cylindrical gear, respectively. The accuracy of the error compensation system is verified by correcting the tooth profile deviation of the gear template installed with the center eccentricity through the error compensation model of the gear installation.
【学位授予单位】：哈尔滨工业大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：TH132.41

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