Theoretical analysis of high speed spindle air bearings by a hybrid numerical method

Effects of Surface Waviness on the Nonlinear Vibration of Gas Lubricated Bearing‐Rotor System

“…In this paper, the journal bearings used for calculation include axial and circumferential surface waviness which is shown in Figure 1. Before numerical simulation, some design assumptions are given as follows [16][17][18]23]:…”

“…e results showed that as the parameters of the system changed the boundary of flip bifurcation were obtained. Wang et al [16][17][18][19][20] investigated the bifurcation performance of rigid rotor and flexible rotor supported by a pair of gas bearing, and the results presented a better understanding to the nonlinear dynamic characters of the gas bearing-rotor system. From the calculation results, we can also find that the dynamic behavior of the rotor center is very complex which includes periodic and subharmonic response.…”

A review of machine-tool vibration and its influence upon surface generation in ultra-precision machining

“…It is induced by unbalanced mass and eccentric moments [51]. The two-degree-of-freedom dynamics of an air-bearing spindle have been thoroughly investigated both theoretically and experimentally, and the major dynamic characteristics includes periodic, subharmonic, non-synchronous, quasi-periodic, and random motions [52][53][54][55][56][57][58][59][60][61][62][63][64][65]. However, since the spin has only been idealized as a short shaft, the conventional physical models are generally simplified to only analyze the radial motions but not the tilting motions.…”

Dynamic characteristics of an aerostatic bearing spindle and its influence on surface topography in ultra-precision diamond turning

“…The dynamic and nonlinear behavior of a flexible rotor supported by a relatively short herringbone-grooved gas journal bearing system, comprising periodic and quasi-periodic responses and varying with bearing number and rotor mass, was proposed [24][25][26][27][28]. In Wang and Yau's study [29], the behavior of the high speed spindle air bearing system, combining the differential transformation method and the finite difference method, was studied in order to analyze the complex dynamic behavior of periodic, sub-harmonic and quasi-periodic responses. Limitedly, the conventional constitutive models generally seen as a short rotor were proposed only to describe two-degree-of-freedom motions of a spindle, i.e.…”