长厚比对正六边形铝蜂窝夹层板等效板模型动力学计算精度的影响

Influence of length-thickness ratio on dynamics calculation accuracy of equivalent plate model of hexagonal aluminum honeycomb sandwich plate

为提高正六边形铝蜂窝夹层板的数值计算精度,研究了长厚比对其等效板模型动力学计算精度的影响。针对芯层均匀壁厚的正六边形铝蜂窝夹层板,首先研究了它的等效板模型,包括Reissner理论模型、蜂窝板理论模型和层合板低阶剪切理论模型;然后,将等效板模型与精细化模型相同模态振型的模态频率进行比较,分析了长厚比对等效板模型动力学计算精度的影响。结果表明:芯层均质化后模型模态频率的计算误差很小;层合板低阶剪切理论模型是计算精度较高的等效板模型;Reissner理论模型在长厚比为7.37时计算精度最低,蜂窝板理论模型对厚板的计算精度比薄板低,层合板低阶剪切理论模型对厚板的计算精度比薄板高。

In order to increase numerical calculation accuracy of hexagonal aluminum honeycomb sandwich plate,influences of length-thickness ratio on dynamic calculation accuracy of equivalent plate models were discussed.For the hexagonal aluminum honeycomb sandwich plate with cores which has uniform thickness of walls,equivalent plate models,including Reissner theory model,honeycomb plate theory model and the low-order shear laminated plate theory model were analyzed firstly.Then,natural frequencies of equivalent plate models were compared with those of the detailed model when their modal shapes were same.And influences of length-thickness ratio on the dynamics calculation accuracy of the equivalent plate models were analyzed.The results show that the calculation error on the natural frequencies of the homogenized core model is small;the low-order shear laminated plate theory model is a equivalent plate model with higher calculation accuracy;calculation accuracy of Reissner theory model is the lowest when length-thickness ratio is 7.37;the calculation accuracy of honeycomb plate theory model is lower on slab than on sheet;and the calculation accuracy of low-order shear laminated plate theory model is higher on slab than on sheet.