考虑误差的行星滚柱丝杠副啮合模型研究

Study on Load Meshing Model of Planetary Roller Screw Considering Errors

行星滚柱丝杠在工作运行中,由于存在安装精度以及螺纹精度误差,各螺纹参数、结构参数与滚柱定位并不能保证完全精确。当产生误差时,行星滚柱丝杠副的接触点位置与接触特性会发生改变。从行星滚柱丝杠副的啮合原理切入,分析各种误差的形式以及量化表现,运用刚体欧拉定理,结合行星滚柱丝杠副的坐标变换求解各螺纹的螺旋曲面方程;综合考虑误差存在的啮合条件,提出一种考虑误差的行星滚柱丝杠副啮合模型;使用Matlab软件对方程求解并与其他啮合模型比对验证,同时在Creo中建立三维模型以验证此模型的正确性。结果表明:此研究方法合理,计算可行,可用于行星滚柱丝杠副偏斜模型研究,并为进一步分析其运动学与动力学特性打下基础。

In the operation of the planetary roller screw,the thread parameters,structural parameters and roller positioning cannot be guaranteed to be completely accurate due to installation and thread accuracy.When an error occurs,the contact point position and contact characteristics of the planetary roller screw pair will change.To iniciate with meshing principle of the planetary roller screw pair,the forms and quantified performance of various errors are analyzed,and the Euler theorem of rigid body is used to solve the spiral surface equation of each thread by combining with the coordinate transformation of the planetary roller screw pair.In comprehensive consideration of the existing meshing condition of the error,a meshing model of planetary roller screw pair considering the error is proposed.Matlab software is applied to solve the equation and to compare with other meshing models for verification.Meanwhile,a three-dimensional model is established in Creo to verify the correctness of the model.The results show that the research method is reasonable and the calculation is feasible,which can be used to study the deflection model of planetary roller screw pair and lay a foundation for further analysis of its kinematics and dynamics characteristics.