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A successive robust flutter prediction technique for aeroelastic systems using µ method

Abstract

In this work, a successive robust flutter prediction technique is developed by coupling nominal analysis, ground vibration test, wind tunnel test, uncertainty model updation and robust analysis based on the structured singular value method to predict the worst flutter boundary of a swept back wing in transonic flow regime. Here, uncertainties in both structural and unsteady aerodynamics parameters are considered in the generalized coordinates. These uncertainties are introduced in the nominal aeroelastic system in a linear fractional transformation framework. The magnitudes of structural uncertainties are estimated based on the difference in natural frequencies between ground vibration test and nominal analysis. The magnitudes of aerodynamic uncertainties are estimated using a model updation technique based on the structured singular value method considering the difference in damping values between wind tunnel test and nominal analysis. The capability of the present successive robust flutter prediction technique is investigated by estimating the robust flutter boundary of a swept back wing in transonic flow regime. From the results, it is observed that the uncertainty model updation provides a reasonable estimate of aerodynamic uncertainty magnitude. Further, the present flutter prediction approach gives a good estimate of transonic flutter boundary (transonic dip) by successively updating the aerodynamic uncertainty bounds using wind tunnel data for various set of test Mach numbers.

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Acknowledgements

This work was supported by Council and Scientific and Industrial Research (CSIR), India under Focused Based Research (FBR) program. The author would like to thank The Head, STTD and The Director, CSIR-NAL for their encouragement and support during the course of the work.

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Correspondence to Amit Kumar Onkar.

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Onkar, A.K. A successive robust flutter prediction technique for aeroelastic systems using µ method. Meccanica 56, 2613–2629 (2021). https://doi.org/10.1007/s11012-021-01390-8

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  • DOI: https://doi.org/10.1007/s11012-021-01390-8

Keywords

  • Uncertainty modelling
  • Model updation
  • Robust flutter
  • Laplace domain
  • Structured singular value
  • AGARD wing
  • ATW model
  • Wind tunnel test
  • Ground vibration test