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<p>Aerostatic conical bearings (ACBs) are subjected to both radial and axial loads, so that the radial and axial vibrations of the system will be coupled with each other. However, research on the nonlinear behavior and stability of the three-dimensional vibration system remains elusive. To do this, the three-dimensional transient nonlinear dynamics model of the ACB-rotor system is established in this paper. The effects of semi-cone angle, axial load, unbalance and clearance on nonlinear behaviors, onset speed of instability and failure speed are then investigated by the Gauss–Seidel and Newmark-<i>β</i> methods, followed by experimental validation. The results show that, first, both the onset speed of instability and the failure speed initially increase and then decrease with the increase in semi-cone angle, whereas the excessively large semi-cone angle will render the system more prone to whirl. Second, the failure speed first increases and then decreases with the increase in axial load, and the system will exhibit instability within a specific range of axial loads. Third, increasing unbalance will suppress sub-synchronous vibrations and raise the onset speed of instability, while the excessive unbalance will reduce the failure speed. Finally, with the increase in clearance, the onset speed of instability first increases and then decreases while the failure speed consistently decreases. However, the excessively small clearance will induce system instability. This study can provide a basis for evaluating the stability of high-speed ACB-rotor systems.</p>

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Three-dimensional nonlinear behaviors and stability analysis of high-speed aerostatic conical bearing-rotor system

  • 期刊论文

  • 发表日期：

    2025年4月6日

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  • Chen Zheng,
  • Xiaoli Wang,
  • Xiaoqing Zhang,
  • Chenfei Wang,
  • Qilong Han

摘要

Aerostatic conical bearings (ACBs) are subjected to both radial and axial loads, so that the radial and axial vibrations of the system will be coupled with each other. However, research on the nonlinear behavior and stability of the three-dimensional vibration system remains elusive. To do this, the three-dimensional transient nonlinear dynamics model of the ACB-rotor system is established in this paper. The effects of semi-cone angle, axial load, unbalance and clearance on nonlinear behaviors, onset speed of instability and failure speed are then investigated by the Gauss–Seidel and Newmark-β methods, followed by experimental validation. The results show that, first, both the onset speed of instability and the failure speed initially increase and then decrease with the increase in semi-cone angle, whereas the excessively large semi-cone angle will render the system more prone to whirl. Second, the failure speed first increases and then decreases with the increase in axial load, and the system will exhibit instability within a specific range of axial loads. Third, increasing unbalance will suppress sub-synchronous vibrations and raise the onset speed of instability, while the excessive unbalance will reduce the failure speed. Finally, with the increase in clearance, the onset speed of instability first increases and then decreases while the failure speed consistently decreases. However, the excessively small clearance will induce system instability. This study can provide a basis for evaluating the stability of high-speed ACB-rotor systems.