Nonlinear stability analysis on axial vibration of dry gas seals system with gas film and seal rings

作者：Yu Shu Rong^*; Zhu Li; Ding Xue Xing; Han Ming Jun; Zhang Wei Zheng

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

• Axial rigidity
• Axial vibrations
• Bifurcation behavior
• Bifurcation points
• Dry gas seal
• Dynamic optimization design
• Floquet exponents
• Forced vibration
• Gas films
• Gas seal
• Non-linear vibrations
• Non-Linearity
• Nonlinear stability analysis
• Nonlinear terms
• Seal rings
• Spiral angle
• Third order
• Working conditions

Based on the nonlinear vibration theory, the axial vibration model of the film and seal rings in the system of dry gas seals was established. A forced vibration differential equation containing the second and the third order nonlinear terms was derived in consideration of the nonlinear axial rigidity of the gas film. The bifurcation behavior of the system was discussed according to Floquet exponent, and the stability influenced by spiral angle was analyzed. The range of the spiral angle that makes system stable was given under the condition of none outer excitation. At the spiral angle of 75°13'26″, the Hopf bifurcation would occur. The result is identical with that obtained by using Runge-Kutta method and the validity of the method was verified. The bifurcation behavior of the system was discussed under different working conditions and the spiral angle corresponding to bifurcation was determined. The results show that under different working conditions, the value of spiral angle is basically unchanged, that means the position of bifurcation point will remain unchanged. The results provide theoretical guidance to the dynamic optimization design of dry gas seal.

• 出版日期2012
• 单位兰州大学