The Nonlinear Stability Analysis of Axial Vibration for system of Gas Film and Seal Rings in the Dry Gas Seals

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Journal of Vibration and Shock ›› 2012, Vol. 31 ›› Issue (15) : 101-104.

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The Nonlinear Stability Analysis of Axial Vibration for system of Gas Film and Seal Rings in the Dry Gas Seals

YU Shurong1, ZHU Li1, DING Xuexing1 , HAN Mingjun2, ZHANG Weizheng1

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Abstract

Abstract: Based on the nonlinear vibration theory,the dynamical and axial vibration model of the film and seal rings in the system of dry gas seals was established .A nonlinear forced vibration differential equation containing the second and the third order was derived while the nonlinear axial rigidity of the gas film was calculated and simulated. The bifurcation question in the system was discussed according to Floquet exponent, and the stability influenced by spiral angle was analyzed.the range of the spiral angle that enable system stable was given while the condition of none outer excitation, and spiral angle α at 75°13′26″the Hopf bifurcation occurs in the system.The results that using Runge-kutta method was identical,thus verify the validity of this method. The bifurcation question in the system was discussed when changing work data,thus get spiral angle value. The results show that the numerical basically unchanged and the bifurcation point position unchanged while changing work data,thus the result is theoretical guidance providing the dry gas seal dynamic optimization design.

Key words

Gas seals / Nonlinear / Axial rigidity / Stability / Bifurcation

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YU Shurong;ZHU Li;DING Xuexing;HAN Mingjun;ZHANG Weizheng. The Nonlinear Stability Analysis of Axial Vibration for system of Gas Film and Seal Rings in the Dry Gas Seals[J]. Journal of Vibration and Shock, 2012, 31(15): 101-104