方形蜂窝夹层曲板的振动特性研究
Vibration Analysis of Simply Supported Curved Sandwich Panels with Square Honeycomb Cores

针对专用车辆罐体的方形蜂窝夹层封头,研究了四边简支方形蜂窝夹层曲板结构的振动特性。以Hoff夹层板理论为基础,通过能量法将蜂窝层芯等效为面内各向同性夹层,并考虑曲率的影响,建立了四边简支方形蜂窝夹层板振动理论模型。基于有限元软件建立了考虑蜂窝层芯细节的有限元模型,对理论模型结果进行了验证,两者结果取得良好吻合。通过理论模型和有限元模型研究了夹层几何参数及内压对蜂窝夹层曲板结构固有频率和振动模态的影响。研究表明:蜂窝夹层曲板的振动模态与均质实心曲板振动模态相似,其固有频率随着内压的增大而提高,相同质量的蜂窝夹层曲板固有频率远高于均质实心曲板的同阶固有频率。所得结果为蜂窝夹层曲板结构的动力学优化设计提供了必要的理论参考。
A theoretical model based on Hoff sandwich panel theory is proposed to investigate the vibration behavior of curved sandwich panels with square honeycomb cores. The square core is an equivalent isotropic layer and the curvature of the panel is taken into account. A finite element model considering all geometrical details is presented to investigate the influence of internal pressure and to validate the theoretical model. A systematic investigation is performed to quantify the influences of the morphological parameters of the square honeycomb core and the internal pressure. It is found that the vibration modes of the honeycomb sandwich panel are similar to those of a monolithic panel. The natural frequencies increase and are far beyond those of the monolithic panel with equal mass as the internal pressure increases. The results obtained from the present study show the advantage of curved sandwich panels in lightweight and high？？safety, and are helpful for optimal design of this kind of lightweight structures