【摘要】 为提高内斜齿轮成形磨削精度,研究砂轮廓形对内斜齿轮齿形误差的影响,寻求砂轮廓形的优化方法。首先建立了修形内斜齿轮磨削成形砂轮廓形的数学模型。然后用截圆法得到砂轮与齿面接触点所满足的条件方程组;运用二分逼近算法进行迭代解此方程组,求出砂轮廓形。基于砂轮廓形数学模型,利用坐标变换建立内斜齿轮端面截形数学模型。结合实例,用数值法模拟出所求砂轮的实际磨削齿形,并与理论渐开线齿形进行比较。结果表明,修形内斜齿轮齿形误差较未修形内斜齿轮降低了50%左右。更多还原

【Abstract】 In order to improve the grinding accuracy of internal helical gear,the influence of the wheel profile on the tooth profile error of internal helical gear was studied so as to find the optimization method of the wheel profile. Firstly,the mathematical model of the form wheel profile used for grinding modified internal helical gear was established. Then,the conditional equations that satisfy the contact point between the grinding wheel and tooth face was obtained by means of truncated method. The wheel profile was found through iterative solution of the equations using bipartite approximation algorithm. Based on the mathematical model of the wheel profile,mathematical model of end section of internal helical gear was established by using coordinate transformation. Combined with example,Numerical simulation was used to find the actually ground tooth profile of the grinding wheel,which was compared with the theoretical involute profile. The results show that the tooth profile error of the modified internal helical gear is reduced by about 50% compared with the unmodified one.更多还原