基于初参数法的丝杠径向支撑刚度辨识方法

针对丝杠径向支撑刚度辨识问题,基于初参数解析方法建立丝杠的初参数矩阵方程,使用边界条件和内力平衡条件,求出矩阵方程中的初参数值。利用初参数值,建立丝杠两端支撑处、螺母处和导轨滑块处的刚度辨识模型。测量丝杠振幅、简谐力幅值和频率、左轴承组中间位置点与螺母中间位置点的间距、螺母中间位置点与简谐力作用点的间距、简谐力作用点与右轴承组中间位置点的间距等参数,识别丝杠支撑点径向刚度。实验研究表明:基于初参数解析方法建立的丝杠支撑点径向刚度辨识模型简单,具有可行性。

Radial Rigidity Identification of Support Point for Ball Screw Based on the Principle of Initial Parameter

The principle of initial parameter method to establish the initial parameter matrix equation for force and displacement of ball screw was explored. The structural characters, including boundary condition, force balance and displacement compatibility in support point were used to achieve initial parameter values. As a result, force and displacement of every point on ball screw could be obtained. Meanwhile, an identification method of the radial rigidity of support point was put forward. The identification models of radial rigidity were built by analyzing the amplitude changes of ball screw under some load affection employing the knowledge of mechanical vibration and material mechanics. The results are in good agreement with the results obtained by the available experiments.