考虑流体介质影响的管路模态特性分析
|
摘要
针对航空发动机外部管路的动力学设计需求及湿模态特性求解问题。应用铁摩辛柯梁理论和能量法推导得到流体质量、压强、流速等综合影响下的管路湿模态振动方程,并基于软件ANSYS现有管单元,通过引入自定义附加刚度和阻尼单元建立了流体压强和流速影响项的等效方法,实现了考虑流体因素影响的管路模态特性计算。结果表明:流体压强引起的横向压力差会降低管路弯曲刚度,而压强引起的轴向张力会提高弯曲刚度,压强作用效果与管支点的轴向约束程度和管材泊松比有关。流体速度对管路湿模态影响与边界条件、振型和管路轴向伸长有关,在高流速时,模态频率可能为零,即出现屈曲失稳现象。
According to the requirement for the dynamic design of the external pipelines of aero-engine,and for solving the wet modal characteristics of complex pipelines,the Timoshenko beam theory and the energy method were used to derive the equation of the vibration of pipeline,in consideration of the effects of mass,pressure and velocity of fluid.Based on the existing pipe element in the ANSYS,an equivalent method to consider the pressure and velocity of fluid was established by using the stiffness and damping element,and it can be used in wet modal calculation of pipelines in ANSYS.Results showed that,the lateral force difference caused by the pressure of fluid could reduce the bending stiffness of the pipeline,and the axial tension caused by pressure could increase the bending stiffness;the effect of the pressure was related to the degree of axial constraint of the supports,and the Poisson's ratio.The effect of the fluid velocity on the wet modal of the pipeline was related to the boundary conditions,the modes of vibration and the axial elongation of the pipeline.At high velocity,the modal frequency was zero,that was,the buckling instability occurring.
According to the requirement for the dynamic design of the external pipelines of aero-engine,and for solving the wet modal characteristics of complex pipelines,the Timoshenko beam theory and the energy method were used to derive the equation of the vibration of pipeline,in consideration of the effects of mass,pressure and velocity of fluid.Based on the existing pipe element in the ANSYS,an equivalent method to consider the pressure and velocity of fluid was established by using the stiffness and damping element,and it can be used in wet modal calculation of pipelines in ANSYS.Results showed that,the lateral force difference caused by the pressure of fluid could reduce the bending stiffness of the pipeline,and the axial tension caused by pressure could increase the bending stiffness;the effect of the pressure was related to the degree of axial constraint of the supports,and the Poisson's ratio.The effect of the fluid velocity on the wet modal of the pipeline was related to the boundary conditions,the modes of vibration and the axial elongation of the pipeline.At high velocity,the modal frequency was zero,that was,the buckling instability occurring.
引文
[1]STONER B L.The importance of engine externals health[R].NASA/CP-2006-214329,2006.
[2]彭刚,于乃江,贾文强.航空发动机外部管路的结构与动力学特征参数分析[J].航空发动机,2017,43(5):1-6.PENG Gang,YU Naijiang,JIA Wenqiang.Analysis of structural and dynamical characteristic parameters of external pipes for aeroengine[J].Aeroengine,2017,43(5):1-6.(in Chinese)
[3]许锷俊.航空发动机导管结构完整性要求的初步研究[J].航空发动机,1994,20(3):53-62.XU Ejun.The elementary study for the integrality requirement of aeroengine pipes[J].Aeroengine,1994,20(3):53-62.(in Chinese)
[4]国防科学技术工业委员会.GJB3054-97飞机液压管路系统设计、安装要求[S].北京:国防科学技术工业委员会,1997:7-8.
[5]胡安辉,周立江,高伟.发动机燃油管断裂故障分析[J].失效分析与预防,2012,7(3):192-196.HU Anhui,ZHOU Lijiang,GAO Wei.Failure analysis of fuel oil pipe in an areo-engine[J].Failure Analysis and Prevention,2012,7(3):192-196.(in Chinese)
[6]LI S,KARNEY BW,LIU G.FSI research in pipeline systems:a review of the literature[J].Journal of Fluids and Structures,2015,57(6):277-297.
[7]秦雷.航空发动机液压管路系统耦合振动的建模与分析[D].沈阳:东北大学,2011.QIN Lei.Modeling and analysis of hydraulic pipe FSI system of aero engine[D].Shenyang:Northeastern University,2011.(in Chinese)
[8]ASHLE Y,HOL T,HAVILAN D,et al.Bending vibrations of a pipe line containing flowing fluid[J].Journal of Applied Mechanics,1950,17(3):229-252.
[9]STEIN R A,TOBRINER M W.Vibration of pipes containing flowing fluids[J].Journal of Applied Mechanics,1970,37(4):1249-1256.
[10]HUANG Y M,LIU Y S,Li B H,et al.Natural frequency analysis of fluid conveying pipeline with different boundary conditions[J].Nuclear Engineering and Design,2010,240(3):461-467.
[11]MODARRES-SADEGHI Y,PADOUSSIS M P.Nonlinear dynamics of extensible fluid-conveying pipes,supported at both ends[J].Journal of Fluids and Structures,2009,25(3):535-543.
[12]ZHANG T,OUYANG H J,ZHANG Y O,et al.Nonlinear dynamics of straight fluid-conveying pipes with general boundary conditions and additional springs and masses[J].Applied Mathematical Modelling,2016,40(17/18):7880-7900.
[13]PADOUSSIS M P,ISSID N T.Dynamic stability of pipes conveying fluid[J].Journal of Sound and Vibration,1974,33(3):267-294.
[14]PADOUSSIS M P,LI G X.Pipes conveying fluid:a model dynamical problem[J].Journal of Fluids and Structures,1993,7(2):137-204.
[15]PADOUSSIS M P.Fluid-Structure Interactions[M].2nd ed.Cambridge:Cambridge University Press,2014.
[16]ANSYS Incorporation.ANSYS documentation[R].Pittsburgh,Pennsylvania,USA:ANSYS Incorporation,2016.
[17]李占营,王建军,邱明星.航空发动机空间管路系统的流固耦合振动特性[J].航空动力学报,2016,31(10):2346-2352.LI Zhanying,WANG Jianjun,QIU Mingxing.Dynamic characteristics of aero-engine pipe system considering fluid-structure coupling[J].Journal of Aerospace Power,2016,31(10):2346-2352.(in Chinese)
[18]李占营,王建军,邱明星,等.航空发动机管路流固耦合振动的固有频率分析[J].航空发动机,2017,43(1):66-70.LI Zhanying,WANG Jianjun,QIU Mingxing.Analysis for natural frequencies of pipe conveying fluid considering fI-uid-structure interaction[J].Aeroengine,2017,43(1):66-70.(in Chinese)
[19]王本利,王世忠,安为民,等.用有限元法分析导管固液耦合振动[J].哈尔滨工业大学学报,1985,17(2):11-16.WANG Benli,WANG Shizhong,AN Weimin,et al.Analysis of solid-liquid coupling vibration of tubes by finite element method[J].Journal of Harbin Institute of Technology,1985,17(2):11-16.(in Chinese)
[20]WANG Shizhong,LIU Yulan,HUANG Wenhu.Research on solid-liquid coupling dynamics of pipe conveying fluid[J].Applied Mathematics and Mechanics,1998,19(11):1065-1071.
[21]RUNYA N,HARRY L,DODD S,et al.Effect of high velocity fluid flow on the bending vibrations and static divergence of a simply supported pipe[R].NASA-TN-D-2870,1965.
[2]彭刚,于乃江,贾文强.航空发动机外部管路的结构与动力学特征参数分析[J].航空发动机,2017,43(5):1-6.PENG Gang,YU Naijiang,JIA Wenqiang.Analysis of structural and dynamical characteristic parameters of external pipes for aeroengine[J].Aeroengine,2017,43(5):1-6.(in Chinese)
[3]许锷俊.航空发动机导管结构完整性要求的初步研究[J].航空发动机,1994,20(3):53-62.XU Ejun.The elementary study for the integrality requirement of aeroengine pipes[J].Aeroengine,1994,20(3):53-62.(in Chinese)
[4]国防科学技术工业委员会.GJB3054-97飞机液压管路系统设计、安装要求[S].北京:国防科学技术工业委员会,1997:7-8.
[5]胡安辉,周立江,高伟.发动机燃油管断裂故障分析[J].失效分析与预防,2012,7(3):192-196.HU Anhui,ZHOU Lijiang,GAO Wei.Failure analysis of fuel oil pipe in an areo-engine[J].Failure Analysis and Prevention,2012,7(3):192-196.(in Chinese)
[6]LI S,KARNEY BW,LIU G.FSI research in pipeline systems:a review of the literature[J].Journal of Fluids and Structures,2015,57(6):277-297.
[7]秦雷.航空发动机液压管路系统耦合振动的建模与分析[D].沈阳:东北大学,2011.QIN Lei.Modeling and analysis of hydraulic pipe FSI system of aero engine[D].Shenyang:Northeastern University,2011.(in Chinese)
[8]ASHLE Y,HOL T,HAVILAN D,et al.Bending vibrations of a pipe line containing flowing fluid[J].Journal of Applied Mechanics,1950,17(3):229-252.
[9]STEIN R A,TOBRINER M W.Vibration of pipes containing flowing fluids[J].Journal of Applied Mechanics,1970,37(4):1249-1256.
[10]HUANG Y M,LIU Y S,Li B H,et al.Natural frequency analysis of fluid conveying pipeline with different boundary conditions[J].Nuclear Engineering and Design,2010,240(3):461-467.
[11]MODARRES-SADEGHI Y,PADOUSSIS M P.Nonlinear dynamics of extensible fluid-conveying pipes,supported at both ends[J].Journal of Fluids and Structures,2009,25(3):535-543.
[12]ZHANG T,OUYANG H J,ZHANG Y O,et al.Nonlinear dynamics of straight fluid-conveying pipes with general boundary conditions and additional springs and masses[J].Applied Mathematical Modelling,2016,40(17/18):7880-7900.
[13]PADOUSSIS M P,ISSID N T.Dynamic stability of pipes conveying fluid[J].Journal of Sound and Vibration,1974,33(3):267-294.
[14]PADOUSSIS M P,LI G X.Pipes conveying fluid:a model dynamical problem[J].Journal of Fluids and Structures,1993,7(2):137-204.
[15]PADOUSSIS M P.Fluid-Structure Interactions[M].2nd ed.Cambridge:Cambridge University Press,2014.
[16]ANSYS Incorporation.ANSYS documentation[R].Pittsburgh,Pennsylvania,USA:ANSYS Incorporation,2016.
[17]李占营,王建军,邱明星.航空发动机空间管路系统的流固耦合振动特性[J].航空动力学报,2016,31(10):2346-2352.LI Zhanying,WANG Jianjun,QIU Mingxing.Dynamic characteristics of aero-engine pipe system considering fluid-structure coupling[J].Journal of Aerospace Power,2016,31(10):2346-2352.(in Chinese)
[18]李占营,王建军,邱明星,等.航空发动机管路流固耦合振动的固有频率分析[J].航空发动机,2017,43(1):66-70.LI Zhanying,WANG Jianjun,QIU Mingxing.Analysis for natural frequencies of pipe conveying fluid considering fI-uid-structure interaction[J].Aeroengine,2017,43(1):66-70.(in Chinese)
[19]王本利,王世忠,安为民,等.用有限元法分析导管固液耦合振动[J].哈尔滨工业大学学报,1985,17(2):11-16.WANG Benli,WANG Shizhong,AN Weimin,et al.Analysis of solid-liquid coupling vibration of tubes by finite element method[J].Journal of Harbin Institute of Technology,1985,17(2):11-16.(in Chinese)
[20]WANG Shizhong,LIU Yulan,HUANG Wenhu.Research on solid-liquid coupling dynamics of pipe conveying fluid[J].Applied Mathematics and Mechanics,1998,19(11):1065-1071.
[21]RUNYA N,HARRY L,DODD S,et al.Effect of high velocity fluid flow on the bending vibrations and static divergence of a simply supported pipe[R].NASA-TN-D-2870,1965.