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Xia Wei, Feng Haocheng. AEROELASTIC FLUTTER OF POST-BUCKLED FUNCTIONALLY GRADED PANELS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(3): 609-614. DOI: 10.6052/0459-1879-15-361
Citation: Xia Wei, Feng Haocheng. AEROELASTIC FLUTTER OF POST-BUCKLED FUNCTIONALLY GRADED PANELS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(3): 609-614. DOI: 10.6052/0459-1879-15-361
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AEROELASTIC FLUTTER OF POST-BUCKLED FUNCTIONALLY GRADED PANELS

  • State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, China

  • Received Date: September 24, 2015
  • Revised Date: November 22, 2015
    Graphical Abstract
    • Abstract
  • Functionally graded materials (FGMs) with continuously varied composition e ectively reduce the mismatch at bonding surface between di erent constituents. As thermal protection structures, functionally graded panels (FGPs) eliminate the internal thermal stress concentration which arises from aerodynamic heating. The aeroelastic flutter boundary of an FGP is analyzed considering the structural geometric nonlinearity due to thermal post-buckling deflection. The e ective FGM properties are calculated using the rule of mixture homogenization with the power law distribution assumption. The first-order shear deformable plate theory, von Karman strain-displacement relations and the first-order piston theory are adopted to formulate the nonlinear aeroelastic finite element equations of FGPs in supersonic flow according to the principle of virtual work. The numerical simulation results of thermal post-buckling response are obtained using the Newton-Raphson iterative method, and the mechanism of post-buckling deflection a ected by the airflow is discussed. The panel flutter boundary is determined by analyzing the stability of post-buckling equilibriums. It is concluded that the symmetry of a ceramic-metal FGP is destroyed by through-the-thickness material distribution, and the panel tends to buckle to the metal side under in-plane thermal stresses. The position of maximum post-buckling deflection moves to the down-stream in the supersonic airflow, and the post-buckling deflection decreases with the increase of flow dynamic pressure. The geometric nonlinearity increases the flutter critical dynamic pressure of post-buckled FGPs when the large post-buckling deflection is occurred at relative high temperature and low non-dimensional dynamic pressure flow. However, the geometric nonlinearity is not so important at high non-dimensional dynamic pressure flow because the post-buckling deflection is restrained to a small one by the supersonic airflow.
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  • 1 Jenkins DR. Hypersonics before the shuttle: A concise history of the X-15 research airplane. Washington: NASA Publication SP-4518,2000: 11-12
    2 Cooper PA, Holloway PF. The shuttle tile story. Astronautics and Aeronautics, 1981, 19(1): 24-36
    3 Birman V, Byrd LW. Modeling and analysis of functionally graded materials and structures. Applied Mechanics Reviews, 2007, 60:195-216
    4 Reddy JN. Analysis of functionally graded plates. International Journal for Numerical Methods in Engineering, 2000, 47(1-3): 663-684  3.0.CO;2-Q">
    5韩杰才,徐丽,王保林等. 梯度功能材料的研究进展及展望. 固体火箭技术,2004,27(3):207-215 (Han Jiecai, Xu Li,Wang Baolin, et al. Progress and prospects of functional gradient materials. Journal of Solid Rocket Technology, 2004, 27(3):207-215 (in Chinese))
    6 仲政, 吴林志, 陈伟球. 功能梯度材料与结构的若干力学问题研究进展. 力学进展, 2010, 40(5): 528-541 (Zhong Zheng, Wu Linzhi, ChenWeiqiu. Progress in the study on mechanics problems of functionally graded materials and structures. Advances in Mechanics,2010, 40(5): 528-541 (in Chinese))
    7 Wu L. Thermal buckling of a simply supported moderately thick rectangular FGM plate. Composite Structures, 2004, 64(2): 211-218
    8 Shen HS, Wang H. Nonlinear bending and postbuckling of FGM cylindrical panels subjected to combined loadings and resting on elastic foundations in thermal environments. Composites Part BEngineering,2015, 78: 202-213
    9 Park JS, Kim JH. Thermal postbuckling and vibration analyses of functionally graded plates. Journal of Sound and Vibration, 2006,289: 77-93
    10 Jha DK, Kant T, Singh RK. A critical review of recent research on functionally graded plates. Composite Structures, 2013, 96: 833-849
    11 Thai HT, Kim SE. A review of theories for the modeling and analysis of functionally graded plates and shells. Composite Structures,2015, 128: 70-86
    12 王铁军, 马连生, 石朝锋. 功能梯度中厚圆/环板轴对称弯曲问题的解析解. 力学学报, 2004, 36(3): 348-353 (Wang Tiejun, Ma Liansheng, Shi Zhaofeng. Analytical solutions for axisymmetric bending of functionally graded circular/annular plates. Acta Mechanica Sinica, 2004, 36(3): 348-353 (in Chinese))
    13 Shao ZS, Wang TJ, Ang KK. Transient thermomechanical stresses of functionally graded cylindrical panels. AIAA Journal, 2007,45(10): 2487-2496
    14 Zhang LW, Zhu P, Liew KM. Thermal buckling of functionally graded plates using a local Kriging meshless method. Composite Structures, 2014, 108: 472-492
    15 Liang X, Wu Z, Wang L, et al. Semianalytical three-dimensional solutions for the transient response of functionally graded material rectangular plates. Journal of Engineering Mechanics, 2015, 141(9):1-17
    16 Apuzzo A, Barretta R, Luciano R. Some analytical solutions of functionally graded Kirchhoff plates. Composites Part B-Engineering,2015, 68: 266-269
    17 Tessler A, Hughes TJR. A three-node Mindlin plate element with improved transverse shear. Computer Methods in Applied Mechanics and Engineering, 1985, 50: 71-91
    18 Huu-Tai T, Trung-Kien N, Vo TP, et al. Analysis of functionally graded sandwich plates using a new first-order shear deformation theory. European Journal of Mechanics a-Solids, 2014, 45: 211-225
    19 Satouri S, Kargarnovin MH, Allahkarami F, et al. Application of third order shear deformation theory in buckling analysis of 2Dfunctionally graded cylindrical shell reinforced by axial stiffeners. Composites Part B-Engineering, 2015, 79: 236-253
    20 Zhang JH, Li GZ, Li SR. Analysis of transient displacements for a ceramic-metal functionally graded cylindrical shell under dynamic thermal loading. Ceramics International, 2015, 41(9): 12378-12385
    21 Dowell EH. Nonlinear oscillations of a fluttering plate. AIAA Journal,1966, 4(7): 1267-1275
    22 Dixon IR, Mei C. Finite element analysis of large-amplitude panel flutter of thin laminates. AIAA Journal, 1993, 31(4): 701-707
    23 夏巍, 杨智春. 超音速气流中受热壁板的稳定性分析. 力学学报,2007, 39(5): 602-609 (Xia Wei, Yang Zhichun. Stability analysis of heated panels in supersonic air flow. Chinese Journal of Theoretical and Applied Mechanics, 2007, 39(5): 602-609 (in Chinese))
    24 Yang C, Li G, Wan Z. Aerothermal-aeroelastic two-way coupling method for hypersonic curved panel flutter. Science China- Technological Sciences, 2012, 55(3): 831-840
    25 Yang Z, Zhou J, Gu Y. Integrated analysis on static/dynamic aeroelasticity of curved panels based on a modified local piston theory. Journal of Sound and Vibration, 2014, 333(22): 5885-5897
    26 Li P, Yang Y, Lu L. Nonlinear flutter behavior of a plate with motion constraints in subsonic flow. Meccanica, 2014, 49(12): 2797-2815
    27 Mei G, Zhang J, Xi G, et al. Analysis of supersonic and transonic panel flutter using a fluid-structure coupling algorithm. Journal of Vibration and Acoustics-Transactions of the Asme, 2014, 136(3): 1-11
    28 Sohn KJ, Kim JH. Nonlinear thermal flutter of functionally graded panels under a supersonic flow. Composite Structures, 2009, 88(3):380-387
    29 Prakash T, Singha MK, Ganapathi M. A finite element study on the large amplitude flexural vibration characteristics of FGM plates under aerodynamic load. International Journal of Non-Linear Mechanics,2012, 47(5): 439-447
    30 Haddadpour H, Navazi HM, Shadmehri F. Nonlinear oscillations of a fluttering functionally graded plate. Composite Structures, 2007,79(2): 242-250
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