Hybrid multibody system method for the dynamic analysis of an ultra‐precision fly‐cutting machine tool

Abstract

The dynamics of an ultra‐precision machine tool determines the precision of the machined surface. This study aims to propose an effective method to model and analyze the dynamics of an ultra‐precision fly‐cutting machine tool. First, the dynamic model of the machine tool considering the deformations of the cutter head and the lathe head is developed. Then, the mechanical elements are classified into M subsystems and F subsystems according to their properties and connections. The M‐subsystem equations are formulated using the transfer matrix method for multibody systems (MSTMM), and the F‐subsystem equations are analyzed using the finite element method and the Craig–Bampton reduction method. Furthermore, all the subsystems are assembled by combining the restriction equations at connection points among the subsystems to obtain the overall transfer equation of the machine tool system. Finally, the vibration characteristics of the machine tool are evaluated numerically and are validated experimentally. The proposed modeling and analysis method preserves the advantages of the MSTMM, such as high computational efficiency, low computational load, systematic reduction of the overall transfer equation, and generalization of its computational capability to general flexible‐body elements. In addition, this study provides theoretical insights and guidance for the design of ultra‐precision machine tools.

Tool‐tip vibration prediction based on a novel convolutional enhanced transformer

“…Chen and Zhao first developed a theoretical model to extract relative tool‐workpiece vibration from the machined surface and used this model to predict the surface roughness in SPDT. Recently, some researchers have investigated the dynamic modeling of UPFC and its impact on surface roughness generation, specifically taking tool‐tip vibration into account 11,16–20 . Ding et al 16 developed a dynamic model of the UPFC machine tool using the transfer matrix method for multibody system (MSTMM) 21 and simulated the tool‐tip vibration.…”

“…Lu et al 19 extended their previous work using a hybrid method consisting of MSTMM, the FEM, and the Craig–Bampton reduction method. The authors' investigation revealed that two specific mode shapes played a critical role in the vibration of the tool‐tip, ultimately leading to the pronounced waviness observed on the machined surface.…”

“…Recently, some researchers have investigated the dynamic modeling of UPFC and its impact on surface roughness generation, specifically taking tool-tip vibration into account. 11,[16][17][18][19][20] Ding et al 16 developed a dynamic model of the UPFC machine tool using the transfer matrix method for multibody system (MSTMM) 21 and simulated the tool-tip vibration. Although their method was computationally efficient, the model did not consider the effect of material-induced vibration.…”

Enabling the transfer matrix method to model serial–parallel compliant mechanisms including curved flexure beams

“…Exploration of methods for modeling kinetostatic and dynamic behaviors of compliant mechanisms and rigid‐body mechanical systems has been an interesting technological subject though software packages are commercially available 1–6 . A process‐efficient, result‐accurate, and parameter‐insightful modeling methodology is often desirable.…”

Vibration Modeling and Analysis of a Flexible 3-PRR Planar Parallel Manipulator Based on Transfer Matrix Method for Multibody System

“…Compared with series manipulators, parallel manipulators have the advantages of high precision, high speed, and strong load capacity [1]. Therefore, they are widely used in precision manufacturing [2], automatic microassembly [3], surgical robots [4], and other applications. As the speed and acceleration of the rigid manipulator are limited, some scholars have proposed and designed lightweight manipulators that use flexible components instead of the original rigid components.…”