基于Matlab的斜齿锥齿轮副齿面接触的计算机模拟

为进行斜齿锥齿轮副的齿面接触分析,并直观显示齿面接触区,利用圆向量函数和球向量函数的矢量回转和坐标变换方法,建立了斜齿锥齿轮齿面接触分析的数学模型;利用Matlab编制软件绘制斜齿锥齿轮副齿面接触的空间图形。对一斜齿锥齿轮副进行齿面接触分析和接触区图形显示,其轮1和轮2为左、右旋斜齿锥齿轮,齿数分别为16和32,法向模数5 mm,法向压力角20°,轴交角90°,法向齿顶高系数为1,法向顶隙系数为0.2,螺旋角10°,齿宽40 mm。结果表明:斜齿锥齿轮副齿面的瞬时接触线是相互平行的直线,传动比恒为2,为两轮齿数的反比。本软件可用于数控机床进行齿轮加工,也可用于齿面接触的计算机辅助分析。

Computer simulation for skew bevel gears contact analysis based on Matlab

To analyze and display the contact of skew bevel involute gears,a mathematic model was established by vector gyration and coordinate transform of circle vector functions and sphere vector functions.Space figure of gears contact was drawn up by Matlab.The developed package was applied to a pair of skew bevel gears,and results indicated that the instantaneous contact lines were parallel straight lines and the transmission ratio was invariable.The package can be used not only for machining skew bevel gears on NC machine tools,but also for computer aided analysis of skew bevel gears contact.