抗混叠时频域融合算法及在叶片响应分析中的应用

刘雅琳; 上官博; 徐自力

抗混叠时频域融合算法及在叶片响应分析中的应用

1.
西安交通大学能源与动力工程学院,西安 710049
2.
西安交通大学航天航空学院机械结构强度与振动国家重点实验室,西安 710049

基金项目: 国家重点基础研究计划(2011CB706505); 国家高技术研究发展计划(2007AA04Z1A1); 国家自然科学基金(50675169)

计量
- 文章访问数: 1369
- HTML浏览量: 107
- PDF量: 564
- 被引次数: 0
出版历程
- 收稿日期: 2011-08-04
- 刊出日期: 2012-06-28

Anti-aliasing alternating frequency/time domain method and its application in response analysis of blade systems

1.
School of Power and Energy,Xi'an Jiaotong University,Xi'an 710049,China
2.
State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace,Xi'an Jiaotong University,Xi'an 710049,China

摘要

摘要: 为解决现有的时频域融合算法中反复使用快速傅里叶变换而出现频谱混叠误差和频谱系数周期性重复的问题,采用快速抗混叠傅里叶变换取代原有的快速傅里叶变换,从计算精度和效率两个方面对时频域融合算法进行改进.使用改进后的抗混叠时频域融合算法对某真实叶片的非线性强迫振动响应进行了计算,并与原算法的计算结果进行了比较.计算结果表明:抗混叠时频域融合算法在保证精度的前提下,计算速度约为原算法的4倍.该算法适合于有限元模型、精度要求高的非线性系统的动力学响应分析.
- 时频域融合算法 /
- 快速抗混叠傅里叶变换 /
- 叶片 /
- 干摩擦 /
- 振动
Abstract: In order to solve the problems of spectrum alias error and spectrum coefficient periodically reiteration cause by using fast Fourier transform(FFT),the fast anti-aliasing Fourier transform was employed to improve analysis accuracy and efficiency of alternating frequency/time domain method.The nonlinear forced response of a real turbine blade was calculated by using the anti-aliasing alternating frequency/time domain method,and the computational accuracy and time were compared with these of the normal method.The results indicate that under certain parameter conditions,the calculation speed of the anti-aliasing alternating frequency/time domain method is about 4 times of the normal one,while the precisions are almost the same.These findings confirm the practicability of the anti-aliasing alternating frequency/time domain method in computing dynamic response of nonlinear systems based on finite element model for high precision analysis.
- alternating frequency/time domain method /
- fast anti-aliasing Fourier transform /
- blade /
- dry friction /
- vibration

HTML

参考文献(12)

[1]	Wang J H,Chen W K.Investigation of the vibration of a blade with friction damper by HBM[J].Journal of Engineering for Gas Turbines and Power,1993,115(4):294-299.
[2]	卢绪祥,黄树红,刘正强,等.基于谐波平衡法的带冠叶片接触碰撞减振特性研究[J].动力工程学报,2010,30(8):578-583. LU Xuxiang,HUANG Shuhong,LIU Zhengqiang,et al.Study on contact impact damping characteristics of shrouded blades based on harmonic balance method[J]. Journal of Chinese Society of Power Engineering,2010,30(8):578-583.(in Chinese)
[3]	Lau S L,Cheung Y K,Wu S Y.A variable parameter incremental method for dynamic instability of linear and nonlinear elastic systems[J].Journal of Applied Mechanics,1982,49(4):849-853.
[4]	Lau S L,Zhang W S.Nonlinear vibrations of piecewise-linear systems by incremental harmonic balance method[J].Journal of Applied Mechanics,1992,59:153-160.
[5]	Ferri A A,Dowell E H.Frequency domain solutions to multi-degree-of-freedom,dry-friction damped systems[J].Journal of Sound and Vibration,1988,124(2):207-224.
[6]	Cameron T M,Griffin J H.An alternating frequency/time domain method for calculating the steady-state response of nonlinear dynamics systems[J].Journal of Applied Mechanics,1989,56(3):149-154.
[7]	Cardona A.A multiharmonic method for nonlinear vibration analysis[J].International Journal for Numerical Methods in Engineering,1994,37(9):1593-1608.
[8]	Nacivet S,Pierre C,Thouverez F,et al.A dynamic lagrangian frequency-time method for the vibration of dry-friction-damped systems[J].Journal of Sound and Vibration,2003,265(1):201-219.
[9]	Olivier P,Pierre C.Hybrid frequency-time domain methods for the analysis of complex structural systems with friction damping .Norfolk,Virginia:44th AIAA/ASME/ASCE/AHS Structures,Structural Dynamics and Materials Conference,2003.
[10]	史亚杰,单颖春,朱梓根.带凸肩叶片非线性振动响应分析[J].航空动力学报,2009,24(5):1158-1165. SHI Yajie,SHAN Yingchun,ZHU Zigen.Analysis of nonl inear response of shrouded blades system[J].Journal of Aerospace Power,2009,24(5):1158-1165.(in Chinese)
[11]	陈祥训.快速高精度频谱分析方法[J].中国电机工程学报,1991,11(1):34-41. Chen Xiangxun.A fast anti-alias Fourier transform method-FAFT[J].Proceedings of the CSEE,1991,11(1):34-41.(in Chinese)
[12]	GU Weiwei,XU Zili,WANG Shangjin.Advanced modeling of three dimensional movements friction contact for analysis of forced response of shrouded blade[J].Proc.IMechE.Part A:J.Power and Energy,2010,224(4):573-582.