用于失谐叶盘动力学特性分析的减缩计算方法

王培屹; 李琳

doi:10.13224/j.cnki.jasp.2014.06.020

用于失谐叶盘动力学特性分析的减缩计算方法

doi: 10.13224/j.cnki.jasp.2014.06.020

王培屹,
李琳

北京航空航天大学能源与动力工程学院, 北京 100191

详细信息

作者简介:
王培屹（1986- ），男，陕西白河人，博士生，主要研究方向为叶盘结构流固耦合振动.

中图分类号: V231
计量
- 文章访问数: 1284
- HTML浏览量: 4
- PDF量: 819
- 被引次数: 0
出版历程
- 收稿日期: 2013-11-06
- 刊出日期: 2014-06-28

Reduced order computational method for analysis of mistuning bladed disk dynamics characteristic

WANG Pei-yi,
LI Lin

School of Energy and Power Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

摘要

摘要: 提出了一种用于失谐叶盘动力学特性分析的减缩计算方法.该方法采用基于周期对称的谐波平衡法，建立非线性的迭代方程，能够基于单扇区的矩阵求解整个失谐叶盘的强迫响应，且不存在任何截断误差，因而效率高于部件模态综合法但精度并不降低.从周期对称结构理论出发给出了方法原理的数学推导，在此基础上通过一个失谐叶盘有限元模型算例对该方法的效率与精度进行了讨论.结果表明：相较部件模态综合法，周期对称谐波平衡法矩阵维度减小59.5%，计算复杂度减少93.4%，计算时间节省57.4%.
- 周期对称 /
- 谐波平衡 /
- 失谐叶盘 /
- 减缩模型 /
- 块循环矩阵
Abstract: A reduced order method was proposed to analyze the dynamics characteristic of mistuning bladed disks. Based on cyclic symmetry and harmonic balance method, a non-linear iteration equation was formed, of which the matrix scale was the same to the matrix size of a single sector and was solved without any truncate error, consequently its efficiency was higher than the component mode synthesis method without losing any accuracy. The mathematical deduction was given based on cyclic periodicity theory. Furthermore, the efficiency and accuracy of this method were investigated by performing a numerical study on a finite element model of mistuning bladed disk. The results show that, compared with component mode synthesis method,the matrix size of the method proposed is reduced by 59.5%, the computational complexity is lowered by 93.4%, the computational time is saved by 57.4%.
- cyclic symmetry /
- harmonic balance /
- mistuning bladed disk /
- reduced order modeling /
- generalized Fourier matrix

HTML

参考文献(18)

[1]	Tran D M.Component mode synthesis methods using interface modes:application to structures with cyclic symmetry[J].Computers and Structures,2001,79(2):209-222.
[2]	Moyroud F,Jacquet-Richardet G,Fransson T.A comparison of two finite element reduction techniques for mistuned bladed disks[J].Journal of Engineering for Gas Turbines and Power,2002,124(4):942-952.
[3]	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.
[4]	Petrov E P,Sanliturk K Y,Ewins D J.A new method for dynamic analysis of mistuned bladed disks based on the exact relationship between tuned and mistuned systems[J].Journal of Engineering for Gas Turbines and Power,2002,124(3):586-597.
[5]	Sinha A.Reduced-order model of a bladed rotor with geometric mistuning[J].Journal of Turbomachinery,2009,131(3):031007.1-031007.7.
[6]	Brown J M,Grandhi R V.Reduced-order model development for airfoil forced response[J].International Journal of Rotating Machinery,Article ID 387828,2008.
[7]	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 Jianyao,WANG Jianjun.Application of cyclic property in transient forced vibration of bladed disks[J].Journal of Aerospace Power,2011,26(2):385-391.(in Chinese)
[8]	李琳.带冠叶盘的二维子结构循环非线性力学模型及其响应特性[J].航空学报,1999,20(1):58-61. LI Lin.Non-linear model of cyclic 2 DOF substructure of shrouded blisk[J].Acta Aeronautica et Astronautica Sinica,1999,20(1),58-61.(in Chinese)
[9]	李琳.非谐带冠叶盘系统动特性的统计特征[J].航空学报,2000,21(5):405-408. LI Lin.Statistics of dynamic characteristics of mistuned shrouded blisk[J].Acta Aeronautica et Astronautica Sinica,2000,21(5):405-408.(in Chinese)
[10]	Poudou O J.Modeling and analysis of the dynamics of dry-friction-damped structural systems.Michigan:University of Michigan,2010.
[11]	ttarsson G.Dynamic modeling and vibration analysis of mistuned bladed disks.Michigan:University of Michigan,1994.
[12]	Von Groll G,Ewins D J.The harmonic balance method with arc-length continuation in rotor/stator contact problems[J].Journal of Sound and Vibration,2001,241(2):223-233.
[13]	Castanier M P,Pierre C.Modeling and analysis of mistuned bladed disk vibration:current status and emerging directions[J].Journal of Propulsion and Power,2006,22(2):384-396.
[14]	Pierre C.Mode localization and eigenvalue loci veering phenomena in disordered structures[J].Journal of Sound and Vibration,1988,126(3):485-502.
[15]	Afolabi D,Alabi B.Catastrophe theory,curve veering and the vibration of bladed discs[J].Journal of Mechanical Engineering Science,1992,206(2):143-144.
[16]	Zeeman E C.Catastrophe theory:selected papers 1972-1977[M].Oxford,England:Addison Wesley,1977.
[17]	Kaneko Y,Mase M,Fujita K,et al.Vibrational response analysis of mistuned bladed disk[J].JSME International Journal:Series C Dynamics,Control,Robotics,Design and Manufacturing,1994,37(1):33-40.
[18]	Golub G H,Van Loan C F.Matrix computations[M].Baltimore,MD,USA:Johns Hopkins University Press,1996.