Experimental Identification of the Nonlinear Parameters of an Industrial Translational Guide for Machine Performance Evaluation
Experimental Identification of the Nonlinear Parameters of an Industrial Translational Guide for Machine Performance Evaluation
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DOI：
10.1177/1077546307081325
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发表时间：
2008-05
影响因子：
2.8
通讯作者：
J. Dhupia;A. Galip Ulsoy;R. Katz;B. Powałka
中科院分区：
文献类型：
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作者：
J. Dhupia;A. Galip Ulsoy;R. Katz;B. Powałka
在设计阶段预测机器动力学是一个挑战，由于缺乏足够的方法来识别和处理机器关节中的非线性，这表现为非线性恢复力函数的相对位移和相对速度的关节。本文讨论了识别这样一个非线性恢复力函数的工业平移指南使用的非线性容差耦合方法（NLRCA），以评估机器的动态特性。平移导轨是机床中最常用的关节之一。参数和非参数技术已被用来识别的非线性。基于赫兹接触力学，推导了一种新的平移导轨参数化模型。还使用了基于二维Chebyshev多项式的非参数方法。从这两种技术得到的模型，即，参数和非参数，拟合的实验数据来自静态和动态测试得到的恢复力作为相对位移和相对速度的函数通过关节。从这两种技术获得的非线性表示后来转换成描述函数表示，这是需要使用NLRCA的机器动态特性的评价。比较了两种方法得到的描述函数表达式。用于评估这种工业机床接头中的非线性的实验设计是一个挑战，需要仔细的对准和校准，因为它们通常非常刚性。这限制了在高频（例如2000-7000 Hz）下进行动态实验，其中实验读数对几何形状和校准中的误差非常敏感。
Prediction of machine dynamics at the design stage is a challenge due to lack of adequate methods for identifying and handling the nonlinearities in the machine joints, which appear as the nonlinear restoring force function of relative displacement and relative velocity across the joint. This paper discusses identification of such a nonlinear restoring force function for an industrial translational guide for use with the Nonlinear Receptance Coupling Approach (NLRCA) to evaluate machine dynamic characteristics. Translational guides are among the most commonly used joints in machine tools. Both parametric and nonparametric techniques have been employed to identify the nonlinearities. A novel parametric model based on Hertzian contact mechanics has been derived for the translational guide. A nonparametric method based on two-dimensional Chebyshev polynomials is also used. The models derived from the two techniques, i.e., parametric and nonparametric, are fitted to the experimental data derived from static and dynamic tests to get the restoring force as a function of relative displacement and relative velocity across the joint. The nonlinear representation obtained from both techniques is later converted into the describing function representation which is needed for evaluation of machine dynamic characteristics using the NLRCA. The describing function representations obtained from the two approaches are compared. The design of experiments for evaluating the nonlinearities in such industrial machine tool joints is a challenge, requiring careful alignment and calibration, because they are typically very stiff. This constrains the dynamic experiments to be carried out at high frequencies (e.g. 2000—7000 Hz) where the experimental readings are very sensitive to errors in geometry and calibration.