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周期对称性在叶盘结构瞬态响应求解中的应用

姚建尧 王建军

姚建尧, 王建军. 周期对称性在叶盘结构瞬态响应求解中的应用[J]. 航空动力学报, 2011, 26(2): 385-391.
引用本文: 姚建尧, 王建军. 周期对称性在叶盘结构瞬态响应求解中的应用[J]. 航空动力学报, 2011, 26(2): 385-391.
YAO Jian-yao, WANG Jian-jun. Application of cyclic symmetry property in transient forced vibration of bladed disks[J]. Journal of Aerospace Power, 2011, 26(2): 385-391.
Citation: YAO Jian-yao, WANG Jian-jun. Application of cyclic symmetry property in transient forced vibration of bladed disks[J]. Journal of Aerospace Power, 2011, 26(2): 385-391.

周期对称性在叶盘结构瞬态响应求解中的应用

基金项目: 国家高技术研究发展计划(2008AA04Z403)

Application of cyclic symmetry property in transient forced vibration of bladed disks

  • 摘要: 研究了利用结构周期对称性计算叶盘结构瞬态响应的方法.首先用ANSYS得到扩充扇区的刚度和质量矩阵,通过周期对称边界上节点的对应关系得到扩充扇区到基本扇区的转换矩阵.利用叶盘结构中各扇区所受载荷的特点,得到任意时刻载荷的空间分布,并对其进行Fourier展开,以得到周期对称模型的载荷.采用Newmark法进行时域积分,利用多波前法求解线性方程组.最后以一个叶盘结构的有限元模型作为算例,验证了文中方法的正确性和有效性.

     

  • [1] 王勖成,邵敏.有限单元法基本原理和数值方法[M].北京:清华大学出版社,1997.
    [2] Thomas D L.Dynamics of rotationally periodic structures[J].International Journal for Numerical Methods in Engineering,1979,14(1):81-102.
    [3] Fricker A J,Potter S.Transient forced vibration of rotationally periodic structures[J].International Journal for Numerical Methods in Engineering,1981,17(7):957-974.
    [4] Williams F W.An algorithm for exact eigenvalue calculations for rotationally periodic structures[J].International Journal for Numerical Methods in Engineering,1986,23(4):609-622.
    [5] Omprakash V,Ramamurti V.Coupled natural frequencies of rotating tuned bladed disk systems[J].Journal of Sound and Vibration,1990,140(3):413-435.
    [6] Zhang J,Chen X J,Wang W L.Dynamic analysis technique of rotating centrifugal impeller .ASME 91-GT-50,1991.
    [7] 张锦,陈向均,王文亮.转动盘-片系的循环对称模综 [J].固体力学学报,1992,13(3):225-234. ZHANG Jin,CHEN Xiangjun,WANG Wenliang.Cyclo-symmetric modal synthesis of rotationg bladed disc system[J].ACTA Mechanica Solida Sinica,1992,13(3):225-234.(in Chinese)
    [8] Zhang J,Wang W L,Chen X J,et al.Dynamic analysis of annular cascade structures[J].Chinese Journal of Aeronautics,1993,6(1):37-41.(in Chinese)
    [9] 张锦,刘晓平.叶轮机振动模态分析理论及数值方法[M].北京:国防工业出版社,2001.
    [10] Seeley C E,Dede M,Mignolet M.Analysis of cyclic symmetric structures with mistuned sectors .AIAA-2002-1536,2002.
    [11] Petrov E P.A method for use of cyclic symmetry properties in analysis of nonlinear multiharmonic vibrations of bladed disks[J].Journal of Turbomachinery,2004,126(1):175-183.
    [12] Yang M T,Griffin J H.A reduced-order model of mistuning using a subset of nominal system modes[J].Journal of Engineering for Gas Turbines and Power,2001,123(4):893-900.
    [13] Feiner D M,Griffin J H.A fundamental model of mistuning for a single family of modes[J].Journal of Turbomachinery,2002,123(4):597-605.
    [14] Balasubramanian P,Jagadeesh J G,Suhas H K,et al.Some studies on free vibration analysis of cyclic symmetric structures using subspace method [J].Engineering Computations,1993,10(3):279-286.
    [15] Davis T A.Algorithm 832:UMFPACK V4.3-An unsymmetric-pattern multiftontal method[J].ACM Trans.Math.Softw.,2004,30(2):196-199.
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出版历程
  • 收稿日期:  2009-12-23
  • 修回日期:  2010-07-21
  • 刊出日期:  2011-02-28

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