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COUPLED THERMAL MODEL FOR NONLINEAR PANEL FLUTTER

机译:非线性面板颤振的耦合热模型

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A nonlinear formulation is developed that accounts for high-Mach-number, viscous flow over the external surface of an isotropic elastic panel. The formulation is unique in that the panel compressive stress is calculated as a result of fluid/structure thermal coupling. Two distinct heat transfer mechanisms are investigated. One is due to fluid viscosity, and the second is due to localflow over the panel. Here, in contrast with classical panel flutter studies, the in-plane load and dynamic pressure paramenters are not wholly independent parameters. The equation of motion is based on von Karman large deflection plate theory and includes a geometric nonlinearity. Using Galerkin's method, the resulting system of equations is solved by direct numerical integration. However, the parameter space representing the in-plane load is extensive, and therefore, numerical integration alone is not a feasible analysis method. As a supplement, the system of equations is analysed with a pseudoarclength continuation method. In this way ,a new periodic regime is uncovered. However, the attractor becomes unstable as a result of additional heating. The results indicate that aerodynamic heating is the dominant heat transfer mechanism. For the conditions studied, the dynamic system is dominated by a stable fixed-point attractor. The aerothermoelastic panel flutter model formulated here is qualitatively similar to the classical model when the in-plane load is due to aerodynamic heating effects only.
机译:开发了一种非线性公式,该公式解释了各向同性弹性面板外表面上的高马赫数粘性流动。该公式的独特之处在于,面板的压缩应力是通过流体/结构热耦合来计算的。研究了两种不同的传热机理。一种是由于流体的粘度,另一种是由于面板上的局部流动。在这里,与经典的面板颤动研究相反,平面内载荷和动态压力参数并不是完全独立的参数。运动方程是基于von Karman大挠度板理论的,并且包括几何非线性。使用Galerkin方法,可以通过直接数值积分来求解所得方程组。但是,表示面内载荷的参数空间很大,因此,仅进行数值积分并不是可行的分析方法。作为补充,用伪弧长连续法分析方程组。这样,就发现了一个新的周期性机制。然而,由于额外的加热,吸引子变得不稳定。结果表明,空气动力加热是主要的传热机制。对于研究的条件,动态系统由稳定的定点吸引子控制。当平面内载荷仅是由于空气动力加热作用而产生时,此处公式化的空气热弹性板颤振模型在质量上与经典模型相似。

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