![]() ![]() However, the tool tip response is mainly responsible for the good or bad surface morphology of a finished workpiece. Thus, in order to improve processing precision, research on the dynamic performances of machine tools is becoming more and more important. Scholars have been studying the dynamic modeling of machine tools for several decades. Gurney and Tobias found that a machine tool can be equated to a damped mass-spring system. Hijink and van der Wolf transformed a milling machine tool into a beam model and calculated the natural frequencies with corresponding mode shapes. The finite element method (FEM) has risen to become one of the most commonly used methods of analyzing the performances of machine tools. ![]() Zatarain et al conducted modal analysis of a milling machine by using FEM and showed that the accuracy of the calculation increases as the finite element nodes increase. Jiang et al applied FEM and structural topology optimization to improve the connection of a simple mechanical structure. In recent years, with the development of computer technology, commercial software is widely used in the dynamic analysis of machine tools, which makes it possible for the holistic modeling of complex and large UFCMTs. Liang et al combined FEM and MATLAB ® Simulink ® to predict the processing surface of a workpiece, and harmonic response analysis was conducted on the whole machine tool. Similarly, Chen et al determined the relationship between the tool tip displacement response and the cutting time using FEM simulation.
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