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**The mechanism of stiffness increase phenomenon of a rubbing disk.**
*(English)*
Zbl 1269.70037

Summary: The phase characteristic of a disk rubbing with a ring supported elastically is investigated and used to explain the mechanism of stiffness increase phenomenon. As long as the rubbing is maintained, the averaged phase difference between the disk and the rotating mass on the disk is definitely less than \(\pi/2\). When the rubbing finishes, the phase difference quickly approaches to \(\pi\). This behavior is independent of the physics parameters of the rubbing system. The theoretical results are qualitatively verified with experiments.

### MSC:

70K50 | Bifurcations and instability for nonlinear problems in mechanics |

74K20 | Plates |

70-05 | Experimental work for problems pertaining to mechanics of particles and systems |

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\textit{S. Wang} et al., Acta Mech. Sin. 26, No. 3, 441--448 (2010; Zbl 1269.70037)

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### References:

[1] | Lawen J.L. Jr, Flowers G.T.: Interaction dynamics between a flexible rotor and an auxiliary clearance bearing. ASME J. Vib. Acoust. 121, 183–189 (1999) |

[2] | Yu J.J., Goldman P., Bently D.E., Muzynska A.: Rotor/seal experimental and analytical study on full annular. J. Eng. Gas Turbines Power 124, 340–350 (2002) |

[3] | Muszynska A.: Rotor-to-stationary element rub-related vibration phenomena in rotating machinery, literature survey. Shock Vib. Dig. 21, 3–11 (1989) |

[4] | Chu F.L., Lu W.X.: Stiffening effect of the rotor during the rotor-to-stator rub in a rotating machine. J. Sound Vib. 308, 758–766 (2007) |

[5] | Jiang J., Ulbrich H.: Stability analysis of sliding whirl in a nonlinear Jeffcott rotor with cross-coupling stiffness coefficients. Nonlinear Dyn. 24(3), 269–283 (2001) · Zbl 0993.70007 |

[6] | Liu H., Yu L., Xie Y.B.: PoincarĂ©-like cell mapping method and its application. Acta Mech. Sin. 31(1), 91–99 (1999) (in Chinese) |

[7] | Choy F.K., Padovan J.: Non-linear transient analysis of rotor-casing rub events. J. Sound Vib. 113(3), 529–545 (1987) |

[8] | Dai X., Jin Z., Zhang X.: Dynamic behavior of the full rotor/stop rubbing: numerical simulation and experimental verification. J. Sound Vib. 251(5), 807–822 (2002) |

[9] | Grapis O., Tamuzs V., Ohlson N.G., Andersons J.: Overcritical high-speed rotor systems, full annular rub and accident. J. Sound Vib. 290(3–5), 910–927 (2006) |

[10] | Chen F.Q., Wu Z.Q., Chen Y.S.: Bifurcation and universal unfolding for rotating shaft with unsymmetrical stiffness. Acta Mech. Sin. 18(2), 181–187 (2002) |

[11] | Popprath S., Ecker H.: Nonlinear dynamics of a rotor contacting an elastically suspended stator. J. Sound Vib. 308(3–5), 767–784 (2007) |

[12] | Banakh L., Nikiforov A.: Vibroimpact regimes and stability of system ”Rotor Sealing Ring”. J. Sound Vib. 308(3–5), 785–793 (2007) |

[13] | Ouyang H.J., Gu Y.X., Yang H.T.: A dynamic model for a disc excited by vertically misaligned, rotating, frictional sliders. Acta Mech. Sin. 20(4), 418–425 (2004) |

[14] | Wang S.M., Lu Q.S., Wang Q., Xu P.: Reducing the amplitude of vibration at resonances by phase modulation. J. Sound Vib. 290(1–2), 410–424 (2006) |

[15] | Wang S.M., Lu Q.S., Twizell E.H.: Reducing lateral vibrations of a rotor passing through critical speeds by phase modulating. J. Eng. Gas Turbines Power 125, 766–771 (2003) |

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