Sensitivity analysis method for forced response of mistuned bladed discs

被引:0
|
作者
Tan Y. [1 ]
Zang C. [1 ]
Zhou B. [1 ]
Duan Y. [1 ]
Petrov E.P. [2 ]
机构
[1] Jiangsu Province Key Laboratory of Aerospace Power System, College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing
[2] School of Engineering and Informatics, University of Sussex, Brighton
基金
中国国家自然科学基金;
关键词
Bladed disc; High-fidelity; Mathematical expression; Mistuning; Sensitivity analysis;
D O I
10.7527/S1000-6893.2017.221305
中图分类号
学科分类号
摘要
The forced response of bladed discs is very sensitive to random blade mistuning. This paper proposes an effective sensitivity analysis method to explore the impact of blade mistuning parameters on the maximum vibrational amplitude of mistuned bladed discs. This method is constructed based on the reduced-order model and a subsequent forced response analysis of mistuned bladed discs. Mathematical expressions of the first and second order sensitivity coefficients for the maximum blade vibrational amplitude with respect to blade frequency mistuning parameters and mistuning nodal mass are derived from the equations for motion of mistuned bladed discs, without any hypothesis or numerical simplification. The method proposed can be used to perform effective sensitivity analysis for bladed discs with any random blade mistuning pattern vibrating in different frequency bands under an engine order excitation. The method is numerically validated in a high-fidelity mistuned bladed disc model. It is shown that the proposed method has the advantages of high accuracy and computational efficiency over the method of finite difference approximation of the sensitivity coefficients. Benefiting from its versatility, the method proposed is expected to further contribute to the forced response analysis of mistuned bladed discs. © 2017, Press of Chinese Journal of Aeronautics. All right reserved.
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共 20 条
  • [1] Zang C.P., Lan H.Q., Advances in research vibration problem of mistuned blisk assemblies, Advances in Aeronautical Science and Engineering, 2, 2, pp. 133-142, (2011)
  • [2] Castanier M.P., Pierre C., Modeling and analysis of mistuned bladed disk vibration: Current status and emerging directions, Journal of Propulsion and Power, 22, 2, pp. 384-396, (2006)
  • [3] Pierre C., Mode localization and eigenvalue loci veering phenomena in disordered structures, Journal of Sound and Vibration, 126, 3, pp. 485-502, (1988)
  • [4] Slater J.C., Minkiewicz G.R., Blair A.J., Forced response of bladed disk assemblies-A survey, Shock and Vibration Digest, 31, 1, pp. 17-24, (1999)
  • [5] Wang J.J., Yao J.Y., Li Q.H., Probability characteristics of vibratory mode of bladed disk assemblies with random stiffness mistuning, Journal of Aerospace Power, 23, 2, pp. 256-262, (2008)
  • [6] Li Q.H., Wang Y.R., Wang J.J., Investigation of high cycle fatigue failures for the aero engine blades, Aeroengine, 29, 4, pp. 16-18, (2003)
  • [7] Whitehead D.S., The maximum factor by which forced vibration of blades can increase due to mistuning, Journal of Engineering for Gas Turbines and Power-transactions of the ASME, 120, 1, pp. 115-119, (1998)
  • [8] Haug E.J., Ehle P.E., Second-order design sensitivity analysis of mechanical system dynamics, International Journal for Numerical Methods in Engineering, 18, 11, pp. 1699-1717, (1982)
  • [9] Haftka R.T., Second-order sensitivity derivatives in structural analysis, AIAA Journal, 20, 12, pp. 1765-1766, (1982)
  • [10] Haftka R.T., Mroz Z., First and second order sensitivity analysis of linear and nonlinear structures, AIAA Journal, 24, 7, pp. 1187-1192, (1986)