有限元法在透平叶片振动研究中的应用
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摘要
以透平叶片振动分析理论为基础,对实验室的等截面直叶片分别通过理论法和有限元法求解其前7阶的切向弯曲自振频率并加以比较。利用有限元法对叶片及顶部围带相互连接的叶片组在不同转速下进行模态分析,得到叶片及叶片组动力刚化效应振动模态数值分析结果,并对结果进行了分析比较。对于顶部围带不连接的叶片组,利用有限元法通过构造弹簧模型来处理顶部围带的接触问题,所得结果真实反映了汽轮机运行过程中围带的碰撞和叶片的振动情况。
Based on the vibration theory of the turbine blade,the first seven orders of tangential bending natural frequency of vibration for the blade were calculated in the laboratory using the theory method and finite element method,then compared.The simulation analysis of the vibration mode of the blade and interlocked joint for the turbine shrouded blade group were carried out under different rotational speeds using the finite element method.The analysis results were obtained and compared,considering the dynamic stiffening effect.For the blade group,at the top of which the shrouds were not connected,the shroud contact issue was solved by constructing a spring modal and using the finite element method.The results were a true reflection of shroud collision and blade vibration during operation of the turbine.
Based on the vibration theory of the turbine blade,the first seven orders of tangential bending natural frequency of vibration for the blade were calculated in the laboratory using the theory method and finite element method,then compared.The simulation analysis of the vibration mode of the blade and interlocked joint for the turbine shrouded blade group were carried out under different rotational speeds using the finite element method.The analysis results were obtained and compared,considering the dynamic stiffening effect.For the blade group,at the top of which the shrouds were not connected,the shroud contact issue was solved by constructing a spring modal and using the finite element method.The results were a true reflection of shroud collision and blade vibration during operation of the turbine.
引文
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[18]信伟平.风力机旋转叶片动力特性及响应分析[D].汕头:汕头大学,2005.
[19]李德源,叶枝全,包能胜,等.风力机旋转风轮振动模态分析[J].太阳能学报,2004,25(1):72-77.Li Deyuan,Ye Zhiquan,Bao Nengsheng,et al.Vibration modal analysis of the rotating rotor of horizontal axis wind turbine[J].Acta Energiae Solaris Sinica,2004,25(1):72-77.(in Chinese)
[20]黄文俊.汽轮机自带围带叶片动力特性有限元分析[D].长沙:长沙理工大学,2007.
[2]Liu Yongxian,Zhao Weiqiang.Vibration analysis of aero-engine turbine blade-disc coupling system[J].Applied Mechanics and Materials,2013,327:276-279.
[3]Jung H K,Hyun Y P,Seok Y J,et al.Linear vibration analysis of rotaing wind-turbine blade[J].Current Applied Physics,2010,10:332-334.
[4]LimH S,Chung J T,Yoo H H.Modal analysis of a rotating multi-packet blade system[J].Journal of Sound and Vibration,2009,325(3):513-531.
[5]Zhao Weiqiang,Liu Yongxian,Lu Mowu,et al.Vibration analysis of a certain type of aero-engine turbine blade based on UG[C]∥Informatics in Control,Automation and Robotics.Berlin:Springer Berlin Heidelberg,2012:377-382.
[6]Celep Z,Turhan D.On the influence of pre-twisting on the vibration of beams including the shear and rotatory inertia effects[J].Journal of Sound and Vibration,1986,l10(3):523-528.
[7]刘岩,张军辉.有限元技术在空冷汽轮机长叶片设计中的应用[J].热力透平,2012,41(2):147-151.Liu Yan,Zhang Junhui.AppIication of FEA for design of long blade in air cooled steam turbine[J].Thermal Turbine,2012,41(2):147-151.(in Chinese)
[8]Rao J S,Carnegie W.A numerical procedure for the determination of the frequencies and mode shapes of lateral vibration of blades allowing for the effect of pretwist and rotation[J].International Journal of Mechanical Engineering Education,1973,1(1):37-47.
[9]赵永健,张大千.涡轮盘-叶片整体振动固有模态有限元分析[J].沈阳航空工业学院学报,2005,22(5):4-6.Zhao Yongjian,Zhang Daqian.Finite element analysis on inherent mode of turbine disk-blade[J].Journal of Shenyang Institute of Aeronautical Engineering,2005,22(5):4-6.(in Chinese)
[10]马玉星,李惠彬,王一棣,等.涡轮增压器叶片振动分析[J].振动、测试与诊断,2005,25(2):13l-156.Ma Yuxing,Li Huibin,Wang Yidi,et al.Study on vibration of turbo-charger blades[J].Journal of Vibration,Measurement and Diagnosis,2005,25(2):13l-156.(in Chinese)
[11]马利,解江,续斌,等.工作环境下的叶片振动可靠性研究[J].汽轮机技术,2007,49(1):40-42.Ma Li,Xie Jiang,Xu Bin,et al.Study on blade vibration of reliability under working environment[J].Turbine Technology,2007,49(1):40-42.(in Chinese)
[12]李春旺,李海云,王澈,等.航空发动机涡轮叶片振动模态影响因素研究[J].空军工程大学:自然科学版,2014,15(1):5-9.Li Chunwang,Li Haiyun,Wang Che,et al.A study of influenceing factors on frequencies and mode shapes of aeroengine turbine blades[J].Journal of Air Force Engineering University:Natural Science Edition,2014,15(1):5-9.(in Chinese)
[13]孙强,张忠平,柴桥,等.航空发动机压气机叶片振动频率与温度的关系[J].应用力学学报,2004,21(4):137-139.Sun Qiang,Zhang Zhongping,Chai Qiao,et al.Temperature effect on vibration frequency of aero-engine compressor blade[J].Chinese Journal of Applied Mechanic,2004,21(4):137-139.(in Chinese)
[14]Hong Yi,He Xiaodong,Wang Rongguo.Vibration and damping analysis of a composite blad[J].Materials and Design,2012,34:98-105.
[15]吴厚钰.透平零件结构和强度计算[M].北京:机械工业出版社,1982:56-106.
[16]胡于进,王璋奇.有限元分析及应用[M].北京:清华大学出版社,2009:154-225.
[17]金在权,权成七,刘龙哲.弹性旋转梁的动力刚化效应[J].延边大学学报,2000,26(2):116-118.Jin Zaiquan,Quan Chengqi,Liu Longzhe.The stiffening effect of the centrifugal force[J].Journal of Yanbian University,2000,26(2):116-118.(in Chinese)
[18]信伟平.风力机旋转叶片动力特性及响应分析[D].汕头:汕头大学,2005.
[19]李德源,叶枝全,包能胜,等.风力机旋转风轮振动模态分析[J].太阳能学报,2004,25(1):72-77.Li Deyuan,Ye Zhiquan,Bao Nengsheng,et al.Vibration modal analysis of the rotating rotor of horizontal axis wind turbine[J].Acta Energiae Solaris Sinica,2004,25(1):72-77.(in Chinese)
[20]黄文俊.汽轮机自带围带叶片动力特性有限元分析[D].长沙:长沙理工大学,2007.