Stability analysis on axial vibration of dry gas seal system under the thermo-elastic deformation considering the thermal dissipation | |
Ding, Xue-Xing; Lu, Jun-Jie; Liu, Yong; Zhang, Ying-Jie | |
刊名 | Zhendong Gongcheng Xuebao/Journal of Vibration Engineering |
2016-02-01 | |
卷号 | 29期号:1页码:78-86 |
关键词 | Bifurcation (mathematics) Convergence of numerical methods Differential equations Elastic deformation Gases Hopf bifurcation Nonlinear equations Runge Kutta methods Sealants System stability Thermal Engineering Thermoanalysis Vibration analysis Bifurcation behavior Dry gas seal Engineering practices Non-linear vibration theories Non-linear vibrations Thermal dissipation Thermal elastic deformations Thermo-elastic deformations |
ISSN号 | 10044523 |
DOI | 10.16385/j.cnki.issn.1004-4523.2016.01.011 |
英文摘要 | Based on the nonlinear vibration theory, the axial vibration model which is about the film and seal rings in the system of dry gas seals is established. In this model, the influence of the gas film thickness and gas film stiffness are considered by the thermal dissipation and thermal-elastic deformation. A forced vibration differential equation containing nonlinear terms is derived in consideration of the nonlinear axial rigidity and damping of the gas film for the specific working conditions. The bifurcation behavior in the dry gas seal system is discussed by the Floquet exponent in the case of without external excitation. Then the influence of the spiral angle on the stability of the dry gas seal system is is analyzed. According to the above data, the range of the spiral angle that guarantee the dry gas seal system stable is given. When the spiral angle is 75° 54′ 36″, Hopf Bifurcation occurrs. The result is compared with those of thermal-elastic deformation without thermal dissipation and of non-thermal-elastic deformation, when the Hopf Bifurcation occurres as well. The results show that the range of the spiral angle which makes the dry gas seal system stable, under thermal-elastic deformation with thermal dissipation is different from that under the thermal-elastic deformation without thermal dissipation and under non-thermal-elastic deformation. What's more, the range of the spiral angle which makes the dry gas seal system stableunder thermal-elastic deformation without thermal dissipation is closer to that under the thermal-elastic deformation with thermal dissipation. And the position of the Hopf bifurcation under thermal-elastic deformation with thermal dissipation is clearer than that under thermal-elastic deformation without thermal dissipation and non- thermal-elastic deformation. The result agree well with the result which is obtained by using the Runge-Kutta method, through which the validity of the method confirmed. Accordingly, in the future, the thermal-elastic deformation with thermal dissipation will become one of aspects which affect the stability of the dry gas seal system and will have application to the engineering practice. © 2016, Nanjing University of Aeronautics an Astronautics. All right reserved. |
语种 | 中文 |
出版者 | Nanjing University of Aeronautics an Astronautics |
内容类型 | 期刊论文 |
源URL | [http://ir.lut.edu.cn/handle/2XXMBERH/112517] |
专题 | 石油化工学院 |
作者单位 | College of Petrochemical Engineering, Lanzhou University of Technology, Lanzhou; 730050, China |
推荐引用方式 GB/T 7714 | Ding, Xue-Xing,Lu, Jun-Jie,Liu, Yong,et al. Stability analysis on axial vibration of dry gas seal system under the thermo-elastic deformation considering the thermal dissipation[J]. Zhendong Gongcheng Xuebao/Journal of Vibration Engineering,2016,29(1):78-86. |
APA | Ding, Xue-Xing,Lu, Jun-Jie,Liu, Yong,&Zhang, Ying-Jie.(2016).Stability analysis on axial vibration of dry gas seal system under the thermo-elastic deformation considering the thermal dissipation.Zhendong Gongcheng Xuebao/Journal of Vibration Engineering,29(1),78-86. |
MLA | Ding, Xue-Xing,et al."Stability analysis on axial vibration of dry gas seal system under the thermo-elastic deformation considering the thermal dissipation".Zhendong Gongcheng Xuebao/Journal of Vibration Engineering 29.1(2016):78-86. |
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