An improved rapid prediction method of the milling tool point frequency response function
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ORIGINAL ARTICLE
An improved rapid prediction method of the milling tool point frequency response function Xiaoru Li 1 & Jianmin Zhu 1 & Fengqing Tian 1 & Zhiwen Huang 1 Received: 14 April 2020 / Accepted: 9 August 2020 # Springer-Verlag London Ltd., part of Springer Nature 2020
Abstract During the prediction of the tool point frequency response function (FRF) based on receptance coupling substructure analysis (RCSA), in allusion to the problems that the existing tool model cannot simulate the contour of the tool precisely and the large amount of calculation for joint parameter identification during the calculation of the rotational FRF of the spindle, the joint model and the optimization algorithm affect the identification accuracy when acquiring the rotational FRF of the spindle. This study proposes a rapid prediction method for the tool point FRF on the basis of RCSA. The method divides the spindle-holder-tool system into two parts: the spindle-holder-partial shank and the remaining tool. On this basis, this study proposes a method of accurately establishing the model of the remaining tool with a 3D scanner and improves the calculation method of the rotational FRF of the spindle-holder-partial shank assembly through the reverse RCSA and finite difference method directly through the modal impact testing on the cutting tool. This study provides the experiments on a vertical machining center and compares the predicted FRF and the measured FRF on the tool point. The result indicates that the predicted FRF curve is consistent with the measured FRF curve with the relative error of natural frequency within 4.0%. This study confirms that the method is feasible, effective, and convenient. Keywords Tool point FRF . Receptance coupling substructure analysis . Accurate modeling of the flute . Rapid prediction
1 Introduction The frequency response function (FRF) of the tool point is the main basis for studying the dynamic characteristics of the spindle system. The modal experimental test is the most straightforward way to acquire the FRF of the tool point. However, when the tool is replaced, the modal test must be performed for different states of the machine tool, which is time-consuming and laborious, as well as easy to introduce test error. To obtain the tool point FRF of different assemblies of spindle systems quickly and accurately, Schmitz et al. [1, 2] proposed the receptance coupling substructure analysis Electronic supplementary material The online version of this article (https://doi.org/10.1007/s00170-020-05929-z) contains supplementary material, which is available to authorized users. * Jianmin Zhu [email protected] 1
College of Mechanical Engineering, University of Shanghai for Science and Technology, No.516 Jungong Road, Shanghai 200093, People’s Republic of China
(RCSA) method, which first divided the spindle tool system into several substructures. This study used the experimental or theoretical calculation method to acquire the tool point FRF of the machine system and the tool and then obtained the FRF o
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