Research on vibration problem of integral mistuned bladed disk assemblies at home and abroad

BAI Bin; BAI Guang-chen; TONG Xiao-chen; XU Zhe; LI Xiao-ying

doi:10.13224/j.cnki.jasp.2014.01.012

Volume 29 Issue 1

Jan. 2014

Turn off MathJax

Article Contents

Article Navigation > Journal of Aerospace Power > 2014 > 29(1): 91-103

BAI Bin, BAI Guang-chen, TONG Xiao-chen, XU Zhe, LI Xiao-ying. Research on vibration problem of integral mistuned bladed disk assemblies at home and abroad[J]. Journal of Aerospace Power, 2014, 29(1): 91-103. doi: 10.13224/j.cnki.jasp.2014.01.012

Citation:

BAI Bin, BAI Guang-chen, TONG Xiao-chen, XU Zhe, LI Xiao-ying. Research on vibration problem of integral mistuned bladed disk assemblies at home and abroad[J]. Journal of Aerospace Power, 2014, 29(1): 91-103. doi: 10.13224/j.cnki.jasp.2014.01.012

Citation:

PDF( 1284 KB)

Research on vibration problem of integral mistuned bladed disk assemblies at home and abroad

doi: 10.13224/j.cnki.jasp.2014.01.012

1.
School of Energy and Power Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
2.
Patent Examination Cooperation Center of the Patent Office, State Intellectual Property Office of the People's Republic of China, Beijing 100081, China
3.
College of Electrical Engineering, Hebei United University, Tangshan Hebei 063009, China

Received Date: 2012-11-16
Publish Date: 2014-01-28

Abstract

Abstract

Mistuned integral bladed disk assemblies,including the mode,the vibration transmission localization and the localization factors,were elaborated.Besides,the modeling and solving methods of mistuned bladed disk assemblies were discussed.The mainly related hot topics,the latest research methods and their achievements in recent 10 years,were reviewed and investigated in detail,including:nonlinearity,flutter,sensitivity,pneumatic and structure coupling,mistuning identification and prediction,mistuning optimization,intentionally mistuning,multi-stage and multi-component disks coupling,Coriolis forces,reliability and robustness etc.Finally,potential topics for future research work were proposed,for instance,building a more effective and applicative model with higher precision,verifying theoretical simulation with the test method,impact on multi-stage and multi-component integral bladed disk assemblies of pneumatic and structure coupling as well as the shroud tip and friction coupling,the principle of Coriolis forces,insensitivity and robustness to the mistuning of bladed disk assemblies and so on.
- integral bladed disk assemblies,
- mistuned vibration,
- localization,
- reliability,
- robustness

FullText(HTML)

References(97)

References

[1]	Sinha A.Computation of the statistics of forced response of a mistuned bladed disk assembly via polynomial chaos[J].Journal of Vibration and Acoustics, 2006, 128(4):449-457.
[2]	王建军, 姚建尧, 李其汉.刚度随机失谐叶盘结构概率模态特性分析[J].航空动力学报, 2008, 23(2):256-262. WANG Jianjun, YAO Jianyao, LI Qihan.Probability characteristics for vibratory mode of bladed disk assemblies with random stiffness mistuning[J].Journal of Aerospace Power, 2008, 23(2):256-262.(in Chinese)
[3]	Kenyon J A, Griffin J H.Forced response of turbine engine bladed disks and sensitivity to harmonic mistuning[J].Journal of Engineering for Gas Turbines and Power, 2003, 125(1):113-120.
[4]	Kenyon J A, Griffin J H.Experimental demonstration of maximum mistuned bladed disk forced response[J].Journal of Turbomachinery, 2003, 125(1):673-681.
[5]	Mbaye M, Soize C, Ousty J P, et al.Robust analysis of design in vibration[J].Journal of Turbomachinery, 2013, 135(2):021008.1-021008.8.
[6]	Mayorca M A, Vogt D M, Fransson T H.A new reduced order modeling for stability and forced response analysis of aero-coupled blades considering various mode families[J].Journal of Turbomachinery, 2012, 134(5):051008.1-051008.10.
[7]	Holland D E, Epureanu B I, Filippi S.Structural damping identification for mistuned bladed disks and blisks[J].Journal of Vibration and Acoustics, 2012, 134(2):024504.1-024504.3.
[8]	HE Erming, WANG Hongjian.A multi-harmonic method for studying effects of mistuning on resonant features of bladed disks with dry friction damping[J].Chinese Journal of Aeronautics, 2006, 19(4):321-325.
[9]	王建军, 李其汉, 朱梓根.失谐叶片-轮盘结构系统振动局部化问题的研究进展[J].力学进展, 2000(4):517-528. WANG Jianjun, LI Qihan, ZHU Zigen.Vibration localzation of mistuned bladed disk assemblies:a review[J].Advances in Mechanics, 2000(4):517-528.(in Chinese)
[10]	于长波, 王建军, 李其汉.错频叶盘结构的概率模态局部化特性分析[J].航空动力学报, 2009, 24(9):2040-2045. YU Changbo, WANG Jianjun, LI Qihan.Probability characteristics for vibratory mode of distuned bladed disk assemblies[J].Journal of Aerospace Power, 2009, 24(9):2040-2045.(in Chinese)
[11]	Chan Y J, Ewins D J.Management of the variability of vibration response levels in mistuned bladed disks using robust design concepts:Part Ⅱ tolerance design[C][C]//Mechanical Systems and Signal Processing.London:Academic Press, 2010, 24(8):2792-2806.
[12]	Nikolic M, Petrov E P, Ewins D J.Coriolis forces in forced response analysis of mistuned bladed disks[J].Journal of Turbomachinery, 2007, 129(4):730-739.
[13]	Laxalde D, Pierre C.Modeling and analysis of multi-stage systems of mistuned bladed disks[J].Computers and Structures, 2011, 89(3/4):316-324.
[14]	Souza K D, Saito A, Epureanu B I.Reduced-order modeling for nonlinear analysis of cracked mistuned multistage bladed-disk systems[R].AIAA Journal, 2012, 50(2):304-312.
[15]	Holland D E, Castanier M P, Ceccio S L, et al.Testing and calibration procedures for mistuning identification and traveling wave excitation of blisks[J].Journal of Engineering for Gas Turbines and Power, 2010, 132(4):042502.1-042502.9.
[16]	Judge J, Pierre C, Mehmed O.Experimental investigation of mode localization and forced response amplitude magnification for a mistuned bladed disk[J].Journal of Engineering for Gas Turbines and Power, 2001, 123(4):940-950.
[17]	Mignolet M P, Hu W, Jadic I.On the forced response of harmonically and partially mistuned bladed disks:Part Ⅱ partial mistuning and applications[J].International Journal of Rotating Machinery, 2000, 6(1):43-56.
[18]	Rivas G A J, Mignolet M P.Local/global effects of mistuning on the forced response of bladed disks[J].Journal of Engineering for Gas Turbines and Power, 2004, 126(1):131-141.
[19]	Huang B W, Kuang J H.Variation in the stability of a rotating blade disk with a local crack defect[J].Journal of Sound and Vibration 2006, 294(3):486-502.
[20]	YAO Jianyao, WANG Jianjun, LI Qihan.Improved modal localization and excitation factors for understanding mistuned bladed disk response[J].Journal of Proupulsion and Power, 2011, 27(1):50-60.
[21]	Yu H B, Wang K W.Piezoelectric networks for vibration suppression of mistuned bladed disks[J].Journal of Vibration and Acoustics, 2007, 129(5):559-566.
[22]	Marinescu O, Epureanu B I, Banu M.Reduced order models of mistuned cracked bladed disks[J].Journal of Vibration and Acoustics, 2011, 133(5):051014.1-051014.9.
[23]	廖海涛, 王帅, 王建军, 等.失谐叶盘结构振动响应局部化实验研究[J].振动与冲击, 2012, 31(1):29-34. LIAO Haitao, WANG Shuai, WANG Jianjun, et al.Tests for forced response localization of a mistuned bladed disk assembly[J].Journal of Vibration and Shock, 2012, 31(1):29-34.(in Chinese)
[24]	Anish G, Joshi S, Epureanu B I.Reduced order models for blade-to-blade damping variability in mistuned blisks[J].Journal of Vibration and Acoustics, 2012, 134(5):051015.1-051015.9.
[25]	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, 23(4):893-900.
[26]	Li J, Castanier M P.Experimental Monte Carlo mistuning assessment of bladed disk vibration using forcing variations[R].AIAA-2006-1964, 2006.
[27]	Bah M T, Nair P B, Bhaskar A, et al.Forced response statistics of mistuned bladed disks:a stochastic reduced basis approach[J].Journal of Sound and Vibration, 2003, 263(2):377-397.
[28]	李凤明, 汪越胜, 黄文虎, 等.失谐周期结构中振动局部化问题的研究进展[J].力学进展, 2005, 35(4):498-512. LI Fengmin, WANG Yueshen, HUANG Wenhu, et al.Advances of vibration localization in disordered periodic structures[J].Advances in Mechanics, 2005, 35(4):498-512.(in Chinese)
[29]	Kenyon J A, Griffin J H, Kim N E.Sensitivity of tuned bladed disk response to frequency veering[J].Journal of Engineering for Gas Turbines and Power, 2005, 127(4):835-842.
[30]	Hou J.Cracking-induced mistuning in bladed disks[R].AIAA Journal, 2006, 44(11):2542-2546.
[31]	王艾伦, 黄飞.裂纹叶片分布对失谐叶盘结构振动特性的影响[J].振动与冲击, 2011, 30(4):9, 26-28. WANG Ailun, HUANG Fei.Effect of cracked blade distribution on vibration characteristics of a mistuned bladed disk[J].Journal of Vibration and Shock, 2011, 30(4):9, 26-28.(in Chinese)
[32]	He Z J, Epureanu B I, Pierre C.Parametric study of the aeroelastic response of mistuned bladed disks[J].Computers and Structures, 2007, 85(11/12/13/14):852-865.
[33]	Petrov E P.A method for forced response analysis of mistuned bladed disks with aerodynamic effects included[J].Journal of Engineering for Gas Turbines and Power, 2010, 132(6):062502.1-062502.10.
[34]	Bladh R, Pierre C, Castanier M P, et al.Dynamic response predictions for a mistuned industrial turbomachinery rotor using reduced-order modeling[J].Journal of Engineering for Gas Turbines and Power, 2002, 124(2):311-324.
[35]	Ayers J P, Feiner D M, Griffin J H.A reduced-order model for transient analysis of bladed disk forced response[J].Journal of Turbomachinery, 2006, 128(3):466-473.
[36]	Yoo H H, Kim J Y, Inman D J.Vibration focalization of simplified mistuned cyclic structures undertaking external harmonic force[J].Journal of Sound and Vibration, 2003, 261(5):859-870.
[37]	Lee S Y, Castanier M P, Pierre C.Assessment of probabilistic methods for mistuned bladed disk vibration[R].AIAA-2005-1990, 2005.
[38]	叶先磊, 王建军, 朱梓根, 等.大小叶盘结构连续参数模型和振动模态[J].航空动力学报, 2005, 20(1):66-72. YE Xianlei, WANG Jianjun, ZHU Zigen, et al.Continuous parameter model and vibration modal of splitter vane rotor[J].Journal of Aerospace Power, 2005, 20(1):66-72.(in Chinese)
[39]	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.
[40]	Huang B W, Kuang J H.Stability in a twisted periodic blade system with cracks[R].AIAA Journal, 2006, 44(7):1436-1444.
[41]	Bhartiya Y, Sinha A.Reduced order model of a multistage bladed rotor with geometric mistuning via modal analyses of finite element sectors[J].Journal of Turbomachinery, 2012, 134(4):041001.1-041001.8.
[42]	Bladh R, Castanier M P, Pierre C.Reduced order modeling and vibration analysis of mistuned bladed disk assemblies with shrouds[J].Journal of Engineering for Gas Turbines and Power, 1999, 121(3):515-522.
[43]	Feiner D M, Griffin J H.A fundamental model of mistuning for a single family of modes[J].Journal of Turbomachinery, 2002, 124(4):597-605.
[44]	Moyroud F, Fransson T, Richardet G J.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.
[45]	Petrov E P, Ewins D J.Method for analysis of nonlinear multiharmonic vibrations of mistuned bladed disks with scatter of contact interface characteristics[J].Journal of Turbomachinery, 2005, 127(1):128-136.
[46]	Lim S H, Bladh R, Castanie M P.A compact, generalized component mode mistuning representation for modeling bladed disk vibration[R].AIAA Journal, 2007, 45(9):2285-2298.
[47]	Martel C, Corral R.Asymptotic description of maximum mistuning amplification of bladed disk forced response[J].Journal of Engineering for Gas Turbines and Power, 2009, 131(2):022506.1-022506.10.
[48]	Szwedowicz J, Visser R, Sextro W, et al.On nonlinear forced vibration of shrouded turbine blades[J].Journal of Turbomachinery, 2008, 130(1):011002.1-011002.9.
[49]	王帅, 王建军, 李其汉.一种基于模态减缩技术的多部件结构失谐识别方法[J].航空动力学报, 2009, 24(3):662-669. WANG Shuai, WANG Jianjun, LI Qihan.Mistuning identification of integrally bladed disk based on the modal reduced technique[J].Journal of Aerospace Power, 2009, 24(3):662-669.(in Chinese)
[50]	Marinescu O, Epureanu B I, Banu M.Reduced order models of mistuned cracked bladed disks[J].Journal of Vibration and Acoustics, 2011, 133(5):051014.1-051014.9.
[51]	Cigeroglu E, Nevzat O H.Nonlinear vibration analysis of bladed disks with dry friction dampers[J].Journal of Sound and Vibration, 2006, 295(3/4/5):1028-1043.
[52]	王红建, 贺尔铭, 余仕侠.具有干摩擦散乱失谐的叶盘受迫响应特性[J].航空动力学报, 2006, 21(4):711-715. WANG Hongjian, HE Erming, YU Shixia.Forced response characteristics of bladed disks with disordered dry friction[J].Journal of Aerospace Power, 2006, 21(4):711-715.(in Chinese)
[53]	Vargiu P, Firrone C M, Zucca S, et al.A reduced order model based on sector mistuning for the dynamic analysis of mistuned bladed disks[J].International Journal of Mechanical Sciences, 2011, 53(8):639-646.
[54]	Yana Y J, Cuia P L, Hao H N.Vibration mechanism of a mistuned bladed-disk[J].Journal of Sound and Vibration, 2008, 317(1/2):294-307.
[55]	Cha D, Sinha A.Computation of the optimal normal load for a mistuned and frictionally damped bladed disk assembly under different types of excitation[J].Journal of Computational and Nonlinear Dynamics, 2011, 6(2):021012.1-021012.10.
[56]	Souza K X D, Epureanu B I.A statistical characterization of the effects of mistuning in multistage bladed disks[J].Journal of Engineering for Gas Turbines and Power, 2012, 134(1):012503.1-012503.8.
[57]	Feiner D M, Griffin J H.A fundamental model of mistuning for a single family of modes[J].Jounal of Tubomachinery, 2002, 124(4):597-605.
[58]	Yu H B, Wang K W.Vibration suppression of mistuned coupled-blade-disk systems using piezoelectric circuitry network[J].Journal of Vibration and Acoustics, 2009, 131(2):021008.1-021008.12.
[59]	Keerti A, Nikolaidis E, Kirsch U.Combined approximations for efficient probabilistic analysis of structures[R].AIAA Journal, 2004, 42(7):1321-1330.
[60]	Ganine V, Legrand M, Michalska H, et al.A sparse preconditioned iterative method for vibration analysis of geometrically mistuned bladed disks[J].Computers and Structures, 2009, 87(5/6):342-354.
[61]	Hsu K, Hoyniak D.A fast influence coefficient method for aerodynamically mistuned disks aeroelasticity analysis[J].Journal of Engineering for Gas Turbines and Power, 2011, 133(12):122502.1-122502.10.
[62]	Sternchüss A, Balmès E, Jean P, et al.Reduction of multistage disk models:application to an industrial rotor[J].Journal of Engineering for Gas Turbines and Power, 2009, 131(1):012502.1-012502.14.
[63]	Jones K W.Minimizing maximum modal force in mistuned bladed disk forced response[J].Journal of Turbomachinery, 2008, 130(1):011011.1-011011.10.
[64]	Kenyon J A, Griffin J H, Feiner D M.Maximum bladed disk forced response from distortion of a structural mode[J].Journal of Turbomachinery, 2003, 125(2):352-363.
[65]	Petrov E P, Ewins D J.Method for analysis of nonlinear multiharmonic vibrations of mistuned bladed disks with scatter of contact interface characteristics[J].Journal of Turbomachinery, 2005, 127(1):128-136.
[66]	Ender C, Nevzat O H.Nonlinear vibration analysis of bladed disks with dry friction dampers[J].Journal of Sound and Vibration, 2006, 295(3/4/5):1028-1043.
[67]	Saito A, Castanier M P, Pierre C.Effects of a cracked blade on mistuned turbine engine rotor vibration[J].Journal of Vibration and Acoustics, 2009, 131(6):061006.1-061006.9.
[68]	Silkowski P D, Rhiec M, Copeland G S, et al.Computational-fluid-dynamics investigation of aeromechanics[J].Journal of Propulsion and Power, 2002, 18(4):788-796.
[69]	Bleeg J M, Yang M T, Eley J A.Aeroelastic analysis of rotors with flexible disks and alternate blade mistuning[J].Journal of Turbomachinery, 2009, 131(1):011011.1-011011.9.
[70]	Kielb R E, Feiner D M, Griffin J H, et al.Flutter of mistuned bladed disks and blisks with aerodynamic and FMM structural coupling[C]//ASME Conference Proceedings.Vienna:American Society of Mechanical Engineers, 2004:573-579.
[71]	Reddy T S R, Min J B, Trudel J J.Mistuned bladed disk analysis with unsteady aerodynamics using turbo-reduce[C]//46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Austin:American Institute of Aeronautics and Astronautics, 2005:2850-2874.
[72]	Lee I L, Chung C, Shin S J.Flutter and forced response analysis of an intentionally mistuned bladed disk[C]//48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference.Honolulu, Hawaii:American Institute of Aeronautics and Astronautics, 2007:23-26.
[73]	Chan Y J, Ewins D J.Prediction of vibration response levels of mistuned integral bladed disks (blisks):robustness studies[J].Journal of Turbomachinery, 2012, 134(4):044501.1-044501.7.
[74]	Lim S H, Pierre C, Castanier M P.Predicting blade stress levels directly from reduced-order vibration models of mistuned bladed disks[J].Journal of Turbomachinery, 2006, 128(1):206-210.
[75]	Sladojevic I, Petrov E P, Imregun M, et a1.Forced response variation of aerodynamically and structurally mistuned turbomachinery rotors[C]//Proceedings of the ASME Turbo Expo 2006.Barcelona:American Society of Mechanical Engineers, 2006:961-971.
[76]	Miyakozawa T, Kielb R E, Hall K C, et al.The effects of aerodynamic asymmetric perturbations on forced response of bladed disks[J].Journal of Turbomachinery, 2009, 131(4):041008.1-041008.8.
[77]	Hea Z, Epureanua B I, Pierre C.Convergence predictions for aeroelastic calculations of tuned and mistuned bladed disks[J].Journal of Fluids and Structures, 2008, 24(5):732-749.
[78]	Feiner D M, Griffin J H.Mistuning identification of blade disks using a fundamental mistuning model:PartⅠ theory[J].Journal of Tubomachinery, 2004, 126(1):150-158.
[79]	Feiner D M, Griffin J H.Mistuning identification of blade disks using a fundamental mistuning model:Part Ⅱ application[J].Journal of Tubomachinery, 2004, 126(1):159-165.
[80]	Song S H, Castanier M P, Pierre C.System identification of multistage turbine engine rotors[C]//Proceedings of the ASME Turbo Expo 2007.Montreal:American Society of Mechanical Engineers, 2007:569-582.
[81]	Yao J Y, Wang J J, Li Q H.Robustness analysis of mistuned bladed disk using the upper bound of structured singular value[J].Journal of Engineering for Gas Turbines and Power, 2009, 131(3):032501.1-032501.7.
[82]	Lim S, Castanier M P, Pierre C.Intentional mistuning design space reduction based on vibration energy flow in bladed disks[C]//Proceedings of the ASME Turbo Expo 2004. Vienna:American Society of Mechanical Engineers, 2004:373-384.
[83]	Baik S, Castanier M P, Pierre C.Disk design methodology for reducing blade vibration in turbine engine rotors[C]//Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference.Long Beach:American Society of Mechanical Engineers, 2005:1545-1555.
[84]	Nikolic M, Petrov E P, Ewins D J.Robust strategies for forced response reduction of bladed disks based on large mistuning concept[J].Journal of Engineering for Gas Turbines and Power, 2008, 130(1):022501.1-022501.11.
[85]	袁惠群, 张亮, 韩清凯, 等.基于蚁群算法的航空发动机失谐叶片减振排布优化分析[J].振动与冲击, 2012, 31(11):169-172. YUAN Huiqun, ZHANG Liang, HAN Qingkai, et al.Optimization of mistuning blades arrangement for vibration absorption in all aero-engine based on artificial ant colony algorithm[J].Journal of Vibration and Shock, 2012, 31(11):169-172.(in Chinese)
[86]	Petrov E P, Ewins D J.Analysis of the worst mistuning patterns in bladed disk assemblies[J].Journal of Turbomachinery, 2003, 125(4):623-631.
[87]	Bladh R, Castanier M P, Pierre C.Effects of multistage coupling and disk flexibility on mistuned bladed disk dynamics[J].Journal of Engineering for Gas Turbines and Power, 2003, 125(1):121-130.
[88]	Laxalde D, Lombard J P, Thouverez F.Dynamics of multi-stage bladed disks systems[J].Journal of Engineering for Gas Turbines and Power, 2007, 129(10):1058-1064.
[89]	Chiu Y J, Huang S C.The influence of oil coupling vibration of a rotor system due to a mistuned blade length[J].International Journal of Mechanical Sciences, 2007, 49(4):522-532.
[90]	Chiu Y J, Huang S C.The influence of a mistuned blades staggle angle on the vibration and stability of a shaft-disk-blade assembly[J].Shock and Vibration, 2008, 15(1):3-17.
[91]	Yang C H, Huang S C.The influence of disks flexibility on coupling vibration of shaft-disk-blades systems[J].Journal of Sound and Vibration, 2007, 301(1/2):1-17.
[92]	Huang B W, Kuang J H.Mode localization in a rotating mistuned turbo disk with coriolis effect[J].International Journal of Mechanical Sciences, 2001, 43(7):1643-1660.
[93]	Xin J Q, Wang J J.Investigation of Coriolis effect on vibration characteristics of arealistic mistuned blade disk[C]//Proceedings of the ASME Turbo Expo 2011.New York:American Society of Mechanical Engineers, 2011:993-1005.
[94]	Soize C, Lombard J P, Dupont C, et al.Blade manufacturing tolerances definition for a mistuned industrial bladed disk[J].Journal of Engineering for Gas Turbines and Power, 2005, 127(3):621-628.
[95]	Rossi M R, Feiner D M, Griffin J H.Experimental study of the fundamental mistuning model for probabilistic analysis[C]//Proceedings of the ASME Turbo Expo 2005.Reno-Tahoe:American Society of Mechanical Engineers, 2005:373-380.
[96]	姚建尧, 王建军, 李其汉.失谐叶盘结构鲁棒性能分析[J].航空动力学报, 2010, 25(7):1634-1639. YAO Jianyao, WANG Jianjun, LI Qihan.Robustness characteristics analysis of mistuned bladed disk assemblies[J].Journal of Aerospace Power, 2010, 25(7):1634-1639.(in Chinese)
[97]	Chan Y J, Ewins D J.Management of the variability of vibration response levels in mistuned bladed discs using robust design concepts:Part Ⅰ parameter design[J].Mechanical Systems and Signal Processing, 2010, 24(8):2777-2791.

Relative Articles

Supplements(0)

Cited By

Proportional views

Proportional views

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Get Citation

PDF(1284.0KB)

XML

Article Metrics

Article views (1596) PDF downloads(1421)

Research on vibration problem of integral mistuned bladed disk assemblies at home and abroad

doi: 10.13224/j.cnki.jasp.2014.01.012

Abstract

References

Proportional views

Catalog

通讯作者: 陈斌, bchen63@163.com

Article Metrics

Proportional views

Related

Research on vibration problem of integral mistuned bladed disk assemblies at home and abroad

doi: 10.13224/j.cnki.jasp.2014.01.012

Abstract

References

Proportional views

Catalog

通讯作者: 陈斌, bchen63@163.com

Article Metrics

Proportional views

Related

Export File

Citation

Format

Content