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基于Reddy三阶剪切板理论,将铝基蜂窝芯层等效为一正交异性层,等效弹性参数由修正后的Gibson公式得出,对简支边界条件下超椭圆蜂窝夹芯板弯曲振动的固有频率进行了理论推导,应用具体算例与实验值和有限元计算结果进行了验证,结果表明本文方法具有较高的计算精度。研究了板宽、板厚和芯层胞元结构参数对简支边界条件下超椭圆蜂窝夹芯板固有频率的影响,并绘出相应的曲线图,该曲线图对超椭圆蜂窝夹芯板的工程应用具有指导意义。
Based on the Reddy third-order shear plate theory, the aluminum honeycomb core is equivalent to an orthotropic layer, and the equivalent elastic parameters are derived from the modified Gibson formula. For the super-elliptical honeycomb sandwich panel under simple boundary conditions The natural frequencies of vibration are deduced theoretically. The results of numerical examples, experimental results and finite element calculations are validated. The results show that the proposed method has high computational accuracy. The effects of plate width, plate thickness and cell structure parameters on the natural frequencies of super-elliptical honeycomb sandwich panels under simple boundary conditions were studied and the corresponding curves were drawn. The curves of the natural frequencies of the super-elliptical honeycomb sandwich panels Engineering application is instructive.