Research on the 1∶2 Subharmonic Resonance and Bifurcation of the Nonlinear Rotor-Seal System

LI Zhong-gang; CHEN Yu-shu

doi:10.3879/j.issn.1000-0887.2012.04.008

Volume 33 Issue 4

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Article Navigation > Applied Mathematics and Mechanics > 2012 > 33(4): 475-485

LI Zhong-gang, CHEN Yu-shu. Research on the 1∶2 Subharmonic Resonance and Bifurcation of the Nonlinear Rotor-Seal System[J]. Applied Mathematics and Mechanics, 2012, 33(4): 475-485. doi: 10.3879/j.issn.1000-0887.2012.04.008

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Research on the 1∶2 Subharmonic Resonance and Bifurcation of the Nonlinear Rotor-Seal System

doi: 10.3879/j.issn.1000-0887.2012.04.008

School of Astronautics, Harbin Institute of Technology, Harbin 150001, P.R.China

Received Date: 2011-09-30
Rev Recd Date: 2012-02-16
Publish Date: 2012-04-15

Abstract

Abstract

The 1∶2 subharmonic resonance of the labyrinth seals/rotor systems was investigated, which the low-frequency vibration of stream turbines could be caused by the gas exciting force in. The empirical parameters of gas exciting force of Muszynska model were obtained by using the results of Computational Fluid Dynamics (CFD). Based on multiple scale method, the 1∶2 subharmonic resonance response of the dynamic system was gained by truncating the system with three orders. The transition sets and the local bifurcations diagrams of the dynamics system were presented by employing singular theory analysis. Meanwhile, the existence conditions of subharmonic resonance non-zeros solutions of the dynamic system were obtained，which provides a new theoretical basis in recognizing and protecting the rotor from the subharmonic resonant failures in the turbine machinery.
- rotor-seal,
- 1∶2 subharmonic resonance,
- flow field computation,
- gas flow exciting force,
- singularity

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References(12)

References

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