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Investigation of aeroelastic instabilities for a thin panel in turbulent flow

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Abstract

The dynamic response of a thin buckled panel in a supersonic wind-tunnel experiment is investigated. Measured time histories of the panel displacement and velocity show co-existing, nonlinear responses with features of periodic and chaotic oscillations. Fully coupled computational analyses are conducted in order to study and interpret the aeroelastic phenomena observed during the experiments. A computationally efficient modeling framework is formulated with a nonlinear structural reduced-order model and enriched piston theory aerodynamics for the mean flow. The simulations predict the onset of the chaotic motions observed in the experiments, albeit with an approximately 21% increase in the oscillation amplitude. A linearized equation governing the distance between neighboring solutions is derived and used to compute the largest Lyapunov exponent in order to prove the existence of chaos. A modified Riks analysis highlights the co-existence of multiple equilibrium positions which predisposes the nonlinear system to chaos. The system’s sensitivity to cavity pressure, temperature differential, and initial conditions is also investigated. Variation of the cavity pressure and temperature differential yields additional regions of dynamic activity that were not explored during the experiments.

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Funding

This research was sponsored by the Air Force Office of Scientific Research (AFOSR) Multi-scale Structural Mechanics and Prognosis and High-Speed Aerodynamics Programs via research grant number 18RQCOR099. The authors gratefully acknowledge the support of AFOSR program managers, Drs. Jaimie Tiley and Ivett Leyva. The authors would also like to thank Innovative Scientific Solutions Inc. (Dr. Jim Crafton, Dr. Brad Ochs, Paul Gross, and Justin Hardman) for their wind-tunnel and full-field measurement support as well as Dr. Steve Hammack (AFRL/RQHF). This work was supported in part by high-performance computer time and resources from the DoD High Performance Computing Modernization Program.

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Authors and Affiliations

  1. ARCTOS Technology Solutions, Beavercreek, OH, 45432, USA

    Kirk R. Brouwer

  2. Aerospace Systems Directorate, Air Force Research Laboratory, Wright-Patterson AFB, OH, 45433, USA

    Ricardo A. Perez, Timothy J. Beberniss & S. Michael Spottswood

  3. Applied Research Institute, University of Illinois at Urbana-Champaign, 2100 South Oak St., Suite 206, MC 628, Champaign, IL, 61820, USA

    David A. Ehrhardt

  4. Department of Civil and Environmental Engineering, University of Washington, 201 More Hall, Box 352700, Seattle, WA, 98195, USA

    Richard Wiebe

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  1. Kirk R. Brouwer
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  4. S. Michael Spottswood
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Contributions

KRB contributed to the writing of original draft, formal analysis, software, and visualization. SMS and RAP contributed to the formal analysis and conceptualization. TJB and DAE performed experimental investigation and data curation. RW contributed to the formal analysis. All authors contributed to the writing, review, and editing.

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Correspondence to Kirk R. Brouwer.

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Brouwer, K.R., Perez, R.A., Beberniss, T.J. et al. Investigation of aeroelastic instabilities for a thin panel in turbulent flow. Nonlinear Dyn 104, 3323–3346 (2021). https://doi.org/10.1007/s11071-021-06571-4

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