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Fluid/Structure Interaction of Cantilevered Plate in Supersonic Separated Flow

Published Online:https://doi.org/10.2514/1.J061883

The fluid-structure interaction of a cantilevered plate geometry in Mach 2 flow was studied experimentally to assess the effects of structural compliance on the surrounding flowfield. The test geometry, representative of a compliant control surface, consists of an overhanging plate that extends past the edge of a backward-facing step to create a separated region in the flow. This allowed for the study of recirculation effects and unsteady pressure forcing on the cantilevered plate without shock/boundary-layer interactions that would be present if the plate were inclined to the flow. Rigid and compliant test articles were studied to capture the fluid response with and without structural deformation. Schlieren photography and particle image velocimetry showed that under the unsteady conditions during startup of the wind tunnel the flexible plate exhibited a highly dynamic oscillatory response with frequencies similar to its natural vibration response. Under steady, started supersonic flow conditions, the flexible cantilever exhibited smaller oscillations around a mean deflection of two plate thicknesses. Oil flow visualization revealed nontrivial three-dimensionality of the test section flowfield. Modal decomposition of stereo digital image correlation measurements demonstrated that the distinct frequencies present in the flexible plate’s response consistently correspond to the same mode shapes.

References

  • [1] Mei C., Abdel-Motagaly K. and Chen R., “Review of Nonlinear Panel Flutter at Supersonic and Hypersonic Speeds,” Applied Mechanics Reviews, Vol. 52, No. 10, 1999, pp. 321–332. https://doi.org/10.1115/1.3098919 CrossrefGoogle Scholar

  • [2] Casper K. M., Beresh S. J., Henfling J. F., Spillers R. W., Hunter P. and Spitzer S., “Hypersonic Fluid–Structure Interactions due to Intermittent Turbulent Spots on a Slender Cone,” AIAA Journal, Vol. 57, No. 2, 2019, pp. 749–759. https://doi.org/10.2514/1.J057374 LinkGoogle Scholar

  • [3] Ravichandran R., Gramola M. and Bruce P. J., “Simultaneous Pressure and Displacement Measurements on a 3D Flexible Surface in a Supersonic Flow,” AIAA Scitech 2020 Forum, AIAA Paper 2020-0315, 2020. https://doi.org/10.2514/6.2020-0315 Google Scholar

  • [4] Varigonda S. V. and Narayanaswamy V., “Investigations of FSI Generated by an Impinging SBLI on a Thin Panel Using Multivariate Imaging of Flow/Structural Properties,” AIAA Aviation 2020 Forum, AIAA Paper 2020-3001, 2020. https://doi.org/10.2514/6.2020-3001 Google Scholar

  • [5] Daub D., Willems S. and Gülhan A., “Experiments on Aerothermoelastic Fluid–Structure Interaction in Hypersonic Flow,” Journal of Sound and Vibration, Vol. 531, 2022, Paper. 116714. https://doi.org/10.1016/j.jsv.2021.116714 CrossrefGoogle Scholar

  • [6] Dowell E. H., “Nonlinear Oscillations of a Fluttering Plate,” AIAA Journal, Vol. 4, No. 7, 1966, pp. 1267–1275. https://doi.org/10.2514/3.3658 LinkGoogle Scholar

  • [7] McNamara J. J. and Friedmann P. P., “Aeroelastic and Aerothermoelastic Analysis in Hypersonic Flow: Past, Present, and Future,” AIAA Journal, Vol. 49, No. 6, 2011, pp. 1089–1122. https://doi.org/10.2514/1.J050882 LinkGoogle Scholar

  • [8] Ostoich C. M., Bodony D. J. and Geubelle P. H., “Interaction of a Mach 2.25 Turbulent Boundary Layer with a Fluttering Panel Using Direct Numerical Simulation,” Physics of Fluids, Vol. 25, No. 11, 2013, Paper. 110806. https://doi.org/10.1063/1.4819350 CrossrefGoogle Scholar

  • [9] Sullivan B. T., Bodony D. J., Whalen T. and Laurence S., “Direct Simulation of Fluid–Structure Interaction in a Hypersonic Compression-Ramp Flow,” AIAA Journal, Vol. 58, No. 11, 2020, pp. 4848–4865. https://doi.org/10.2514/1.J059072 LinkGoogle Scholar

  • [10] Whalen T. J., Kennedy R. E., Laurence S. J., Sullivan B., Bodony D. J. and Buck G., “Unsteady Surface and Flowfield Measurements in Ramp-Induced Turbulent and Transitional Shock-Wave Boundary-Layer Interactions at Mach 6,” AIAA Scitech 2019 Forum, AIAA Paper 2019-1127, 2019. https://doi.org/10.2514/6.2019-1127 Google Scholar

  • [11] Pandey A. and Casper K. M., “Hypersonic Fluid-Structure Interaction on the Control Surface of a Slender Cone,” AIAA Scitech 2021 Forum, AIAA Paper 2021-0909, 2021. https://doi.org/10.2514/6.2021-0909 Google Scholar

  • [12] Pham H. T., Gianikos Z. and Narayanaswamy V., “Compression Ramp Induced Shock Wave/Turbulent Boundary Layer Interactions on a Compliant Material,” 2018 AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, AIAA Paper 2018-0095, 2018. https://doi.org/10.2514/6.2018-0095 Google Scholar

  • [13] Lauten W. T., Levey G. M. and Armstrong W. O., “Investigation of an All-Movable Control Surface at a Mach Number of 6.86 for Possible Flutter,” NACA RM L58B27, 1958. Google Scholar

  • [14] Currao Gaetano, “Experimental Study of Hypersonic Fluid Structure Interaction with Shock Impingement on a Cantilevered Plate,” Ph.D. Dissertation, School of Aerospace Engineering, Univ. of New South Wales, Canberra, Australia, 2018. https://doi.org/10.13140/RG.2.2.20892.13443 Google Scholar

  • [15] Bhattrai S., McQuellin L., Currao G. M., Neely A. and Buttsworth D., “Influence of Hypersonic Fluid-Structure Interaction on the Control Authority of a Trailing-Edge Flap,” 22nd AIAA International Space Planes and Hypersonics Systems and Technologies Conference, AIAA Paper 2018-5265, 2018. https://doi.org/10.2514/6.2018-5265 Google Scholar

  • [16] McHugh K. A., Freydin M., Bastos K. K., Beran P. and Dowell E. H., “Flutter and Limit Cycle Oscillations of Cantilevered Plate in Supersonic Flow,” Journal of Aircraft, Vol. 58, No. 2, 2021, pp. 266–278. https://doi.org/10.2514/1.C035992 LinkGoogle Scholar

  • [17] Bojan G. K., “Fluid-Structure Interaction of a Cantilevered Plate in Supersonic Separated Flow,” M.S. Thesis, Dept. of Aerospace Engineering, Univ. of Illinois at Urbana–Champaign, Urbana, IL, 2021. Google Scholar

  • [18] Chang W., “Design and Development of a Rectangular Supersonic Wind Tunnel Facility for the Study of Shock/Boundary Layer Interactions,” M.S. Thesis, Dept. of Aerospace Engineering, Univ. of Illinois at Urbana–Champaign, Urbana, IL, 2011. Google Scholar

  • [19] Sun C.-C. and Childs M. E., “A Modified Wall Wake Velocity Profile for Turbulent Compressible Boundary Layers,” Journal of Aircraft, Vol. 10, No. 6, 1973, pp. 381–383. https://doi.org/10.2514/3.44376 LinkGoogle Scholar

  • [20] Favale J., “Stereoscopic PIV Measurements and Proper Orthogonal Decomposition of a Supersonic Axisymmetric Base Flow,” M.S. Thesis, Dept. of Aerospace Engineering, Univ. of Illinois at Urbana–Champaign, 2017. Google Scholar

  • [21] Lazar E., DeBlauw B., Glumac N., Dutton C. and Elliott G., “A Practical Approach to PIV Uncertainty Analysis,” 27th AIAA Aerodynamic Measurement Technology and Ground Testing Conference, AIAA Paper 2010-4355, 2010. https://doi.org/10.2514/6.2010-4355 Google Scholar

  • [22] Hortensius R., “The Fluid-Structure Interaction of an Axisymmetric Underexpanded Jet Flowing Across an Adjacent Compliant Surface,” Ph.D. Dissertation, Dept. of Aerospace Engineering, Univ. of Illinois at Urbana-Champaign, 2017. Google Scholar

  • [23] Malkus M., “An Application of Modal Decomposition to Supersonic Flow Over a Wall-Mounted Turret,” Undergraduate Thesis, Dept. of Aerospace Engineering, The Ohio State Univ., Columbus, OH, 2020. Google Scholar

  • [24] Leask S. and McDonell V., “On the Physical Interpretation of Proper Orthogonal Decomposition and Dynamic Mode Decomposition for Liquid Injection,” arXiv:abs/1909.07576, 2019. Google Scholar

  • [25] Song O., “Modal Analysis of a Cantilevered Plate,” M.S. Thesis, Dept. of Mechanical Engineering, New Jersey Inst. of Technology, 1986. Google Scholar

  • [26] Driver D. M., Seegmiller H. L. and Marvin J. G., “Time-Dependent Behavior of a Reattaching Shear Layer,” AIAA Journal, Vol. 25, No. 7, 1987, pp. 914–919. https://doi.org/10.2514/3.9722 LinkGoogle Scholar

  • [27] Horchler T., Mani K. V. and Hannemann K., “Dynamic Mode Decomposition of Backward Facing Step Flow Simulation Data,” 22nd AIAA Computational Fluid Dynamics Conference, AIAA Paper 2015-3411, 2015. https://doi.org/10.2514/6.2015-3411 Google Scholar

  • [28] Sampath R. and Chakravarthy S. R., “Proper Orthogonal and Dynamic Mode Decompositions of Time-Resolved PIV of Confined Backward-Facing Step Flow,” Experiments in Fluids, Vol. 55, No. 1792, 2014. https://doi.org/10.1007/s00348-014-1792-7 Google Scholar

  • [29] Hasan M. A., “The Flow Over a Backward-Facing Step Under Controlled Perturbation: Laminar Separation,” Journal of Fluid Mechanics, Vol. 238, 1992, pp. 73–96. https://doi.org/10.1017/S0022112092001642 CrossrefGoogle Scholar