Finally, the vibration characteristics of the machine tool are evaluated numerically and are validated experimentally. 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. 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. Then, the mechanical elements are classified into M subsystems and F subsystems according to their properties and connections. First, the dynamic model of the machine tool considering the deformations of the cutter head and the lathe head is developed. This study aims to propose an effective method to model and analyze the dynamics of an ultra‐precision fly‐cutting machine tool. The dynamics of an ultra‐precision machine tool determines the precision of the machined surface. In this technology, three pairs of spherical supports are adopted, two in the right side and one in the left side, forming an isosceles triangle distribution, by re- vising the screws to align the spindle axis to the horizontal- slide. Furthermore, a novel technology is used to ensure that the axis of the spindle is perpendicular to the workpiece, as shown in Fig. The structure of the machine tool consists of a machine tool bed, a column, adjustment pads, spherical pads, and a beam.
Both of them improve the stiffness of the sensitive direction in machining. The hydrostatic bearings are also employed in the horizontal axis slide to improve the stiffness. A large support surface is used to improve the axial stiffness. The aerostatic bearings are used in the vertical-axis spindle due to its inherent advantages of high positioning accuracy and smoothness of motion. The surface to be machined lies in a horizontal plane. Mounted to the horizontal slide is a vacuum chuck which fixes the workpiece by vacuum power. A bridge supports a vertical-axis spindle and flycutter over a horizontal-axis slide. configuration of the flycutting machine is shown in Fig.
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