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- 2017
简支边界条件下超椭圆蜂窝夹芯板的自由振动
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Abstract:
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。 The honeycomb core of cells was modeled as a layer of orthotropic material whose physical and the mechanical properties were determined by using the corrected Gibson's formula. Based on the Reddy Third-order shear plate theory, a preliminary study was conducted for the natural frequency of the super elliptical honeycomb panels with simply supported boundary conditions. Comparing the FEM results with experimental data of concrete calculated examples, it shows the method mentioned in this article has great calculation precision. The effects of panel width, thickness and structure parameters of core layer cell on the natural frequency of super elliptical honeycomb panels with simply supported boundary conditions were investigated. And plotted corresponding graphs will guide the further research and engineering application of super elliptical honeycomb panels. 教育部博士点基金（20120095110013）
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