Investigation of Panel Flutter under the Effect of Liquid Sloshing
Publication: Journal of Aerospace Engineering
Volume 28, Issue 2
Abstract
This paper presents a numerical model for investigation of aeroelastic behavior of an arbitrary-shaped panel with arbitrary boundary conditions under the effect of supersonic external flow and internal liquid sloshing simultaneously. A finite-element model is used to describe the structural dynamics along with the linear piston theory for describing the supersonic external flow effects. Also a potential flow model discretized by the boundary element method is used for describing the internal flow field. Using modal analysis technique a coupled fluid-solid interaction reduced-order model is developed for the system. The developed model is used for investigation of dynamic stability boundaries of the system for different conditions of internal fluid, and new dynamic behaviors is observed in interaction of structure with internal and external flow simultaneously.
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References
Abe, K. (1996). “R-adaptive boundary element method for unsteady free-surface flow analysis.” Int. J. Numer. Methods Eng., 39(16), 2769–2787.
Abramson, H. N., and Silverman, S. (1966). “The dynamic behavior of liquids in moving containers.” Rep., National Aeronautics and Space Administration (NASA) Special Publication 106, Washington, DC.
Ashley, H., and Zartarian, G. (1956). “Piston theory–A new aerodynamic tool for the aeroelastician.” J. Aeronaut. Sci., 23(12), 1109–1118.
Bismarck-Nasr, M. (1996). “Finite elements in aeroelasticity of plates and shells.” Appl. Mech. Rev., 49(10S), S17–S24.
Biswal, K., and Bhattacharyya, S. (2010). “Dynamic response of structure coupled with liquid sloshing in a laminated composite cylindrical tank with baffle.” Finite Elem. Anal. Des., 46(11), 966–981.
Biswal, K., Bhattacharyya, S., and Sinha, P. (2003). “Free-vibration analysis of liquid-filled tank with baffles.” J. Sound Vib., 259(1), 177–192.
Biswal, K., Bhattacharyya, S., and Sinha, P. (2004). “Dynamic response analysis of a liquid-filled cylindrical tank with annular baffle.” J. Sound Vib., 274(1), 13–37.
Chiu, E., and Farhat, C. (2009). “Effects of fuel slosh on flutter prediction.” Proc., Structures, Structural Dynamics and Materials Conf., American Institute of Aeronautics and Astronautics, Reston, VA, 1–13.
Cho, J., Lee, H., and Kim, K. (2002). “Free vibration analysis of baffled liquid-storage tanks by the structural-acoustic finite element formulation.” J. Sound Vib., 258(5), 847–866.
Christensen, E., and Brunty, J. (1997). “Launch vehicle slosh and hydroelastic loads analysis using the boundary element method.” Proc., Structures, Structural Dynamics and Materials Conf., AIAA, Reston, VA.
Donescu, P., and Virgin, L. (2001). “An implicit boundary element solution with consistent linearization for free surface flows and non-linear fluid-structure interaction of floating bodies.” Int. J. Numer. Methods Eng., 51(4), 379–412.
Dowell, E. H. (1972). “Panel flutter.” Rep., National Aeronautics and Space Administation (NASA) Special Publication 8004, Washington, DC.
Dowell, E. H. (1974). “Aeroelasticity of plates and shells.” Monographs and textbooks on mechanics of solid and fluids, Springer, Amsterdam, Netherlands.
Dutta, S., and Laha, M. (2000). “Analysis of the small amplitude sloshing of a liquid in a rigid container of arbitrary shape using a low-order boundary element method.” Int. J. Numer. Methods Eng., 47(9), 1633–1648.
Ergin, A., and Temarel, P. (2002). “Free vibration of a partially liquid-filled and submerged, horizontal cylindrical shell.” J. Sound Vib., 254(5), 951–965.
Firouz-Abadi, R., Haddadpour, H., and Ghasemi, M. (2009). “Reduced order modeling of liquid sloshing in 3D tanks using boundary element method.” Eng. Anal. Boundary Elem., 33(6), 750–761.
Firouz-Abadi, R., Haddadpour, H., Noorian, M., and Ghasemi, M. (2008). “A 3D BEM model for liquid sloshing in baffled tanks.” Int. J. Numer. Methods Eng., 76(9), 1419–1433.
Ibrahim, R. (2005). Liquid sloshing dynamics: Theory and applications, Cambridge University Press, Cambridge, U.K.
Iseki, T., Shinkai, A., and Nakatake, K. (1989). “Boundary element analysis of 3-dimensional sloshing problem by using cubic spline element.” Nav. Architect, 1989(166), 355–362.
Mei, C., Abdel-Motagaly, K., and Chen, R. (1999). “Review of nonlinear panel flutter at supersonic and hypersonic speeds.” Appl. Mech. Rev., 52(10), 321–332.
MSC-Nastran 2008 [Computer software]. MSC Software, Tempe, AZ.
Nakayama, T., and Washizu, K. (1981). “The boundary element method applied to the analysis of two-dimensional nonlinear sloshing problems.” Int. J. Numer. Methods Eng., 17(11), 1631–1646.
Noorian, M., Firouz-Abadi, R., and Haddadpour, H. (2012). “A reduced order model for liquid sloshing in tanks with flexible baffles using boundary element method.” Int. J. Numer. Methods Eng., 89(13), 1652–1664.
Olson, M. (1967). “Finite elements applied to panel flutter.” AIAA J., 5(12), 2267–2270.
Olson, M. (1970). “Some flutter solutions using finite elements.” AIAA J., 8(4), 747–752.
Rossettos, J., and Tong, P. (1974). “Finite-element analysis of vibration and flutter of cantilever anisotropic plates.” J. Appl. Mech., 41(4), 1075–1080.
Sabri, F., and Lakis, A. (2010). “Hybrid finite element method applied to supersonic flutter of an empty or partially liquid-filled truncated conical shell.” J. Sound Vib., 329(3), 302–316.
Sander, G., Bon, C., and Geradin, M. (1973). “Finite element analysis of supersonic panel flutter.” Int. J. Numer. Methods Eng., 7(3), 379–394.
Sen, D. (1995). “A cubic-spline boundary integral method for two-dimensional free-surface flow problems.” Int. J. Numer. Methods Eng., 38(11), 1809–1830.
Sivak, V. (2001). “Experimental investigation of the natural vibrations of shells of revolution with a liquid and added masses.” Int. Appl. Mech., 37(1), 122–125.
Stillman, W. (1973). “Free vibration of cylinders containing liquid.” J. Sound Vib., 30(4), 509–524.
Zang, Y., Xue, S., and Kurita, S. (2000). “A boundary element method and spectral analysis model for small-amplitude viscous fluid sloshing in couple with structural vibrations.” Int. J. Numer. Meth. Fluids, 32(1), 69–83.
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© 2014 American Society of Civil Engineers.
History
Received: Feb 17, 2013
Accepted: Sep 17, 2013
Published online: Sep 19, 2013
Discussion open until: Nov 24, 2014
Published in print: Mar 1, 2015
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