层间滑移对复合材料层合板自由振动的影响

The Effect of Interfacial Slip on Free Vibration of Laminated Composite Plates

讨论了层间粘贴状况——剪切滑移对复合材料层合结构自由振动的影响。通过引入剪切变形函数 ,结合界面剪切滑移条件 ,建立了能反映全部界面条件和板面条件的位移场。位移场形式简单 ,位移变量不随层数增加 ,其运动方程方便地反映了层间粘贴状况的影响。算例表明层间粘贴状况对层板基频的影响非常显著 ,且随层数增加而加剧。

The effect of interfacial shear slip on free vibration of laminated composite plates is considered. The shear deformation functions and the interfacial constitutive relations are introduced to develop a displacement field, which accounts for interfacial bonding conditions and free traction on the lateral planes. The displacement field has a simple form and its number of displacement variables is fixed regardless of the number of layers. The motion equations resulted reflect conveniently the effect of interfacial bonding conditions. It is shown in numerical results that the effect of shear slip on the frequencies of plates is significant and increases with the increase of the number of layers.