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Applied Mathematics and Mechanics >

2012 , Vol. 33 >Issue 4: 499 - 510

DOI: https://doi.org/10.1007/s10483-012-1566-7

Articles

Research on 1:2 subharmonic resonance and bifurcation of nonlinear rotor-seal system

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  • School of Astronautics, Harbin Institute of Technology, P.O. Box 137,Harbin 150001, P. R. China

Received date: 2011-09-30

  Revised date: 2012-02-24

  Online published: 2012-04-15

Supported by

Project supported by the National Natural Science Foundation of China (No. 10632040)

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Abstract

The 1:2 subharmonic resonance of the labyrinth seals-rotor system is investigated, where the low-frequency vibration of steam turbines can be caused by the gas exciting force. The empirical parameters of gas exciting force of the Muszynska model are obtained by using the results of computational fluid dynamics (CFD). Based on the multiple scale method, the 1:2 subharmonic resonance response of the dynamic system is gained by truncating the system with three orders. The transition sets and the local bifurcations diagrams of the dynamics system are presented by employing the singular theory analysis. Meanwhile, the existence conditions of subharmonic resonance non-zero solutions of the dynamic system are obtained, which provides a new theoretical basis in recognizing and protecting the rotor from the subharmonic resonant failure in the turbine machinery.

Cite this article

Zhong-gang LI;Yu-shu CHEN . Research on 1:2 subharmonic resonance and bifurcation of nonlinear rotor-seal system[J]. Applied Mathematics and Mechanics, 2012 , 33(4) : 499 -510 . DOI: 10.1007/s10483-012-1566-7

References

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