Numerical modelling of elastic ring squeeze film damper based on thick plate and force coefficient identification
-
摘要: 利用数值方法完善了弹性环式挤压油膜阻尼器(elastic ring squeeze film damper,ERSFD)的流固耦合计算模型,其中利用雷诺方程建立油膜的控制方程,利用厚板单元建立了弹性环的运动方程并采用分时迭代方法实现了弹性环-油膜的控制方程的耦合求解从而获得瞬时内外油膜的压力,并进一步识别了油膜以及ERSFD的动力学特性系数。结果表明ERSFD的阻尼系数受凸台高度影响最大,凸台高度从0.15mm增加到0.30mm, ERSFD的阻尼系数从5790(N·s)/m减小到718(N·s)/m; ERSFD刚度系数则主要取决于弹性环的厚度以及凸台数目,弹性环厚度从0.8mm增加到1.0mm,ERSFD的刚度从1.44×106N/m增加到2.51×106N/m。
-
关键词:
- 动力学特性系数 /
- 弹性环式挤压油膜阻尼器 /
- 流固耦合 /
- 有限单元法 /
- 雷诺方程
Abstract: The two way couple model of elastic ring squeeze film damper(ERSFD) was established through numerical approach. The governing equation of the fluid block was obtained by Reynolds equation and the equation of motion of the elastic ring was solved by finite element method with thick plate. The coupled equations were solved through block iteration method. The transient pressure profile of inner film and outer film were obtained and the force coefficients of ERSFD were identified. The results show that the height of the boss has significant influence on the damping of the ERSFD. The increase of the height of the boss from 0.15mm to 0.30mm results in a drop of damping from 5790(N·s)/m to 718(N·s)/m. The stiffness coefficients of ERSFD have close relations with the thickness of the ring as well as the number of boss. The increase of thickness of elastic ring from 0.8mm to 1.0mm leads to the increase of the stiffness coefficients from 1.44×106N/m to 2.51×106N/m. -
[1] COOPER S.Preliminary investigation of oil films for the control of vibration[J].Lubrication and Wear Convention,1963,28:305-315. [2] ZHAO J Y,HAHN E J.Subharmonic,quasi-periodic and chaotic motions of a rigid rotor supported by an eccentric squeeze film damper[J].Journal of Mechanical Engineering Science,1993,207(6):383-392. [3] GJIKA K,GROVES C,ANDRS L S,et al.Nonlinear dynamic behavior of turbocharger rotor-bearing systems with hydrodynamic oil film and squeeze film damper in series:prediction and experiment[J].Journal of Computational & Nonlinear Dynamics,2010,5(4):2040-2049. [4] 江龙平,徐可君,唐有才,等.几种新型航空用挤压油膜阻尼器[J].航空科学技术,2000(6):32-33.JIANG Longping,XU Kejun,TANG Youchai,et al.Several new squeeze film daper used in aeroengine[J].Acronantical Science and Techology,2000(6):32-33.(in Chinese) [5] 马艳红,王虹,洪杰.带金属橡胶油膜环的自适应挤压油膜阻尼器非协调响应研究[J].航空动力学报,2009,24(2):390-395.MA Yanhong,WANG Hong,HONG Jie.Investigation of non-synchronous responce of adaptive squeeze film damper with metal rubber oil film[J].Journal of Aerospace Power,2009,24(2):390-395.(in Chinese) [6] ZEIDAN F Y,ANDRES L S,VANCE J M,et al.Design and application of squeeze film dampers in rotating machinery[C]∥Proceedings of the Twenty-fifth Turbomachinery Symposium.Texas,USA:Texas A&M University Turbomachinery Laboratories,1996:169-188. [7] 周明,李其汉,晏砺堂.弹性环式挤压油膜阻尼器减振机理研究(1):弹性环式挤压油膜阻尼器减振机理模型[J].燃气涡轮试验与研究,1998,11(4):19-23. [8] 周明,李其汉,晏砺堂.弹性环式挤压油膜阻尼器减振机理研究(2):弹性环式挤压油膜阻尼器油膜力特性的求解[J].燃气涡轮试验与研究,1999,12(1):30-33. [9] 曹磊,高德平,江和甫.弹性环式挤压油膜阻尼器设计因素研究[J].燃气涡轮试验与研究,2006,14(4):30-34.CAO Lei,GAO Deping,JIANG Hefu.Investigation on design factor of elastic ring squeeze film damper[J].Gas Turbine Experiment and Research,2006,14(4):30-34.(in Chinese) [10] 周明,李其汉,晏砺堂.弹性环式挤压油膜阻尼器实验研究与应用[J].航空动力学报,1998,13(4):59-63.ZHOU Ming,LI Qihan,YAN Litang.Experimental investigation and application of an elastic ring squeeze film damper[J].Journal of Aerospace Power,1998,13(4):59-63.(in Chinese) [11] XU Y,CHEN X,ZOU J,et al.Influence of orifice distribution on the characteristics of elastic ring-squeeze film dampers for flywheel energy-storage system[J].IEEE Transactions on Plasma Science,2013,41(5):1272-1279. [12] ZHANG W,DING Q.Elastic ring deformation and pedestal contact status analysis of elastic ring squeeze film damper[J].Journal of Sound and Vibration,2015,346(1):314-327. [13] REISSNER E.The effect of transverse shear deformation on the bending of elastic plates[J].Journal of Applied Mechanics.1945,12(3):69-77. [14] MINDLIN R D.Influence of rotary inertia and shear on flexural motions of isotropic,elastic plates[J].Journal of Applied Mechanics,1951,18(1):31-38. [15] PETYT M.Introduction to finite element vibration analysis[M].Cambridge:Cambridge University Press,2010:209-215. [16] GREENWOOD J A,WILLIAMSON J P.Contact of nominally flat surfaces[J].Proceedings of the Royal Society A,1966,295(1442):300-319. [17] POPOV V L.Contact mechanics and friction[M].Berlin:Springer,2010.
点击查看大图
计量
- 文章访问数: 547
- HTML浏览量: 0
- PDF量: 419
- 被引次数: 0