基于von Karman非线性应变、Reddy三阶剪切锯齿理论和准稳态一阶活塞理论建立了强噪声载荷作用下含摩擦边界复合材料壁板的气动弹性非线性动力学有限元数值计算模型，采用高斯限带白噪声和宏观黏滑摩擦模型分别来描述噪声载荷和层合壁板边界的非光滑摩擦力特性，应用时域直接积分Newmark-β方法结合Newton-Raphson迭代法求解了声载荷和气动载荷联合作用下壁板的非线性振动响应，研究了声载荷和摩擦边界对壁板颤振特性的影响。结果表明，摩擦边界上的滑移运动可耗散层合壁板的振动能量，对壁板的振动响应产生抑制作用；在强噪声和气动载荷作用下，壁板的振动会呈现出由气动载荷主导下的极限环振动和强噪声载荷主导下近似服从正态分布的随机振动。
Abstract
Here, based on von Karman’s nonlinear strain theory, Reddy’s third-order shear sawtooth theory and the quasi-steady first-order piston theory, the aeroelastic nonlinear dynamic finite element numerical computation model for a composite panel with friction boundary under strong noise load was established. Gauss band-limited white noise and the macro stick-slip friction model were used to describe noise load and non-smooth friction characteristics of the laminated panel boundary, respectively. Nonlinear vibration responses of the panel subjected to the combined action of acoustic load and aerodynamic load were solved by using the time-domain direct integration Newmark-β method and Newton-Raphson iterative method. Effects of acoustic load and friction boundary on panel flutter characteristics were studied. The results showed that sliding motion on friction boundary can dissipate vibration energy of the laminated panel and suppress its vibration response; under the action of strong noise and aerodynamic load, vibration of the panel can reveal limit-cycle vibration dominated by aerodynamic load and random vibration approximately obeying normal distribution dominated by strong noise load.
关键词
复合材料层合板 /
噪声载荷 /
壁板颤振 /
摩擦边界
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Key words
composite laminated panel /
noise load /
panel flutter /
friction boundary
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