随着高速飞行器技术的快速发展, 壁板热颤振成为国内外研究人员的关注热点。壁板热颤振对飞行器性能有重大影响, 甚至影响飞行安全。以超音速气流下的无限展长二维壁板结构作为研究对象, 计入热效应的影响, 根据Kirchhoff平板理论和Von Karman大变形几何非线性壁板理论建立系统的运动微分方程。并以壁板在x=0.25处为算例绘制了其前三阶弯曲构型的静态分岔图, 对不同轴向载荷条件下壁板的屈曲构型进行了分析。考虑到温差ΔT是影响热应力的重要因素, 对比了不同温差条件下, 壁板的静气动弹性变形图, 结果表明, 温差越大, 壁板偏离静平衡位置的位移越大。
Panel thermal flutter has become the research focus both at home and abroad with the rapid development of high-speed craft technology.Panel thermal flutter has a great influence on vehicle performance, and even affects the flight safety.The nonlinear flutter analysis of panel with thermal effect is carried out.Based on the Kirchhoff thin plate theory and the Von Karman′s nonlinear large deformation strain-displacement relations, the dynamic equations of the flat panel are established.The paper takes the point at x=0.25 as an example to draw its first three curved configuration static bifurcation diagrams, and the buckling configuration of panel of different axial load conditions is analyzed.As the difference in temperature is an important factor affecting the thermal stress, the paper compares the elastic deformation of different temperature conditions, and results show that the greater the temperature difference is, the greater displacement of the panel deviation from the static equilibrium position will be.
[1]杨智春, 夏巍, 孙浩.高速飞行器壁板颤振的分析模型和分析方法[J].应用力学学报, 2006, 23(4):537-542.
[2]Houbolt J C.A study of several aerothermoelastic problems of aircraft in high-speed flight[D].Eidenossischen Technischen Hochschule, The Swiss Federal Institute of Technology, Zurich Switzerland, 1958.
[3]Yang T Y, Han A D.Flutter of thermally buckled finite element panels[J].AIAA Journal, 1976, 14(7):975-977.
[4]Xue D Y, Mei C.Finite element non-linear panel-flutter with arbitrary temperature in supersonic flow[J].AIAA Journal, 1933, 31(1):154-162.
[5]Xue D Y, Mei C.Finite element nonlinear flutter and fatigue life of two dimensional panels with temperature effects[J].Journal of Aircraft, 1993, 30(6):993-1000.
[6]Ghoman S, Mei C, Azzouz MS.Frequency domain method for flutter analysis of curved panels under yawed supersonic flow at elevated temperature[R].AIAA, 2008-2312, 2008.
[7]Ghoman S, Mei C, Azzouz MS.Time domain method for nonlinear flutter of curved panels under yawed supersonic flow at elevated temperature[R].AIAA, 2009-2598, 2009.
[8]张蕊丽, 杨智春.曲壁板在超音速气流中的分岔特性[J].力学学报, 2010, 42(5):863-869
[9]杨智春, 周建, 谷迎松.超音速气流中受热曲壁板的非线性颤振特性[J].力学学报, 2012, 44(1):30-38.
[10]陈文俊.气动加热对飞行器气动弹性特性的影响[J].现代防御技术, 1998, 26(3):20-28.
[11]Chu H N, Herrmann G.Influence of large amplitudes on free flexural vibration of rectangular elastic plates[J].Journal of Applied Mechanics, 1956, 23(10):532-540.
[12]Nayfeh A H, Emam S A.Exact solutions and stability of the postbuckling configurations of beams[J].Nonlinear Dynamics, 2008, 54(4):395-408.
[13]Ashley H, Zartarian G.Piston theory-A new aerodynamic tool for the aeroelastician[J].Journal of Aeronautical Science, 1956, 23(10):1109-1118.