含分层的压电材料层合板的自由振动分析

该文为含分层的压电材料层合板的自由振动分析提出了一种状态空间方法。首先通过压电材料的修正H-R (Hellinger-Reissner)变分原理和径向基函数推导了无网格状态空间列式。然后结合非线性弹簧层模型,导出了含分层压电材料层合板的三维模型。该模型的主要优点是:场节点数和背景网格数不随层合板的层数增加而增加;另一方面,通过设定弹簧的刚度值,非线性弹簧层既能保证非分层区域横向应力和位移的连续性,也能防止分层区域嵌入现象的发生。

FREE VIBRATION ANALYSIS OF PIEZOELECTRIC LAMINATED PLATES WITH DELAMINATION

A state space approach for the analysis of free vibration of piezoelectric laminated plate with delamination is presented.Firstly,the meshless state space formulation is derived by the modified H-R(Hellinger-Reissner) varitional principle and radial basis function.And then,the three-dimensional model of the piezoelectric laminated plate with a delamination is reduced by incorporating a nonlinear spring-layer model.The main advantages of the model are that the field nodes and the background grids are only used in each layer and the number of variables is independent of the layer number of the structure.In the plane of delamination the nonlinear spring-layer ensures the continuous transverse stresses and displacements in the undelaminated region by specifying the value of springs and avoids the possibility of material penetration phenomenon in the delaminated region.