补偿弹性变形的摆线轮齿廓修形方法

METHOD FOR MODIFYING PROFILE OF CYCLOIDAL WHEEL CONSIDERING COMPENSATION FOR ELASTIC DEFORMATION

考虑弹性变形对摆线轮齿廓的影响,提出了一种补偿弹性变形的摆线轮齿廓修形方法。基于摆线轮齿廓修形理论,求出了摆线轮啮合点坐标,利用坐标变换原理,拟合得到产生弹性变形之后的摆线轮齿廓,进行了摆线轮齿面接触力理论计算,并建立了考虑弹性变形特性的摆线轮齿廓修形优化数学模型,采用遗传算法寻优求解,并与未考虑弹性变形的修形方法进行对比分析。研究结果表明:相比于未考虑弹性变形的修形方法,该方法实际工作齿廓与转角修形齿廓的拟合度提高了1.52倍,齿面接触力减小了8.27%,从而验证了该方法的合理性与可行性。

Considering the influence of elastic deformation on the profile of the cycloid,a cycloid profile modification method for compensating elastic deformation is proposed.Based on the theory of cycloid profile modification,the coordinates of the meshing point of the cycloid were obtained.The coordinate transformation principle was used to fit the profile of the cycloid after elastic deformation,and the theoretical calculation of the contact force of the cycloid tooth surface was carried out.And the mathematical model of the profile modification of the cycloid with elastic deformation characteristics was established,which was solved by genetic algorithm and compared with the modification method without considering elastic deformation.The results show that compared with the modification method without considering elastic deformation,the fitting degree of the actual working tooth profile and the angle modification tooth profile is improved to 1.52 times,and the contact force of the tooth surface is reduced to8.27%,thus verifying the rationality and feasibility of the method.