Abstract
The equation of motion of sandwich beam with pyramidal lattice core in the supersonic flow considering geometric nonlinearity is formulated using Hamilton’s principle. The piston theory is used to evaluate aerodynamic pressure. The structural aeroelastic properties are analyzed using frequency- and time-domain methods, and some interesting phenomena are observed. It is noted that the flutter of sandwich beam occurs under the coupling effect of low order modes. The critical flutter aerodynamic pressure of the sandwich beam is higher than that of the isotropic beam with the same weight, length and width. The influence of inclination angle of core truss on flutter characteristic is analyzed.
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Xue, Z.Y. and Hutchinson, J.W., Preliminary assessment of sandwich plates subject to blast loads. International Journal of Mechanical Sciences, 2003, 45: 685–705.
Lu, T.J., Heat transfer efficiency of metal honeycombs. International Journal of Heat and Mass Transfer, 1999, 42: 2031–2040.
Hoffmann, F., Lu, T.J. and Hodson, H.P., Heat Transfer Performance of Kagome Structures, Paper HX07, 8th UK National Heat Transfer Conference, Oxford, 9–10 September, 2003.
Kim, T., Fluid-Flow and Heat-Transfer in a Lattice-Frame Material. PhD Thesis, Department of Engineering, University of Cambridge, 2003.
ElRaheb, M. and Wagner, P., Transmission of sound across a truss-like periodic panel: 2d analysis. Journal of the Acoustical Society of America, 1997, 102(4): 2176–2183.
Cui, X.D., Zhao, L.M., Wang, Z.H., Zhao, H. and Fang, D.N., Dynamic response of metallic lattice sandwich structures to impulsive loading. International Journal of Impact Engineering, 2012, 43: 1–5.
Ruzzene, M., Vibration and sound radiation of sandwich beams with honeycomb truss core. Journal of Sound and Vibration, 2004, 277: 741–763.
Cielecka, I. and Jedrysiak, J., A non-asymptotic model of dynamics of honeycomb lattice-type plates. Journal of Sound and Vibration, 2006, 296: 130–149.
Dharmasena, K.P., Wadley, H.N.G., Williams, K., Xue, Z.Y. and Hutchinson, J.W., Response of metallic pyramidal lattice core sandwich panels to high intensity impulsive loading in air. International Journal of Impact Engineering, 2011, 38: 275–289.
McShane, G.J., Deshpande, V.S. and Fleck, N.A., Underwater blast response of free-standing sandwich plates with metallic lattice cores. International Journal of Impact Engineering, 2010, 37: 1138–1149.
Lok, T.S. and Cheng, Q.H., Free and forced vibration of simply supported, orthotropic sandwich panel. Computers and Structures, 2001, 79: 301–312.
Lou, J., Ma, L. and Wu, L.Z., Free vibration analysis of simply supported sandwich beams with lattice truss core. Materials Science and Engineering B, 2012, 177: 1712–1716.
Chattopadhyay, A., Kim, J.S. and Liu, Q., Aeromechanical stability analysis and control of smart composite rotor blades. Journal of Vibration and Control, 2002, 8: 847–860.
Ghoman, S.S. and Azzouz, M.S., Supersonic aerothermoelastic nonlinear flutter study of curved panels: time domain. Journal of Aircraft, 2012, 49(4): 1179–1183.
Song, Z.G. and Li, F.M., Active aeroelastic flutter analysis and vibration control of supersonic composite laminated plate. Composite Structures, 2012, 94: 702–713.
Lee, Y.S., Vakakis, A.F., Bergman, L.A., McFarland, D.M. and Kerschen, G., Suppressing aeroelastic instability using broadband passive targeted energy transfers, part I: theory. AIAA Journal, 2007, 45: 693–711.
Kuo, S.Y., Flutter of rectangular composite plates with variable fiber pacing. Composite Structures, 2011, 93: 2533–2540.
Dowell, E.H., Nonlinear oscillations of a fluttering plate. AIAA Journal, 1966, 4(7): 1267–1275.
Dowell, E.H., Nonlinear oscillations of a fluttering plate II. AIAA Journal, 1967, 5(10): 1856–1862.
Attar, P., Tang, D. and Dowell, E.H., Nonlinear aeroelastic study for folding wing structures. AIAA Journal, 2010, 48(10): 2187–2195.
Han, A.D. and Yang, T.Y., Nonlinear panel flutter using high-order triangular finite elements. AIAA Journal, 1983, 21(10): 1453–1460.
Song, Z.G. and Li, F.M., Active aeroelastic flutter analysis and vibration control of supersonic beams using the piezoelectric actuator/sensor pairs. Smart Material and Structures, 2011, 20: 055013.
Queheillalt, D.T., Murty, Y. and Wadley, H.N.G., Mechanical properties of an extruded pyramidal lattice truss sandwich structure. Scripta Materialia, 2008, 58: 76–79.
Shin, W.H., Oh, I.K., Han, J.H. and Lee, I., Aeroelastic characteristics of cylindrical hybrid composite panels with viscoelastic damping treatments. Journal of Sound and Vibration, 2006, 296: 99–116.
Prakash, T. and Ganapathi, M. Supersonic flutter characteristics of functionally graded flat panels including thermal effects. Composite Structures, 2006, 72: 10–18.
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Project supported by the National Natural Science Foundation of China (Nos. 11572007 and 11172084).
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Li, F., Song, Z. & Sun, C. Aeroelastic Properties of Sandwich Beam with Pyramidal Lattice Core Considering Geometric Nonlinearity in the Supersonic Airflow. Acta Mech. Solida Sin. 28, 639–646 (2015). https://doi.org/10.1016/S0894-9166(16)30005-2
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DOI: https://doi.org/10.1016/S0894-9166(16)30005-2