复合材料层合板的弯曲与振动

本文应用应力杂交有限元方法分析了复合材料层合板的弯曲与振动.在本文中,首先根据修正的余能变分原理,构造了一个适合于复合材料层合板特点的矩形应力杂交板弯曲单元.在单元内,分层假设应力参数,在单元的边界上,根据YNS理论的假设确定边界位移场.这样使得构造出来的单元不仅能够考虑横向剪切变形的影响和局部扭曲效应,而且具有较少的自由度数.其次,用此单元求解了层合板的弯曲与振动问题,并将计算结果与精确解进行了比较,比较表明二者非常接近.这说明了在计算方面本文单元具有较高的精确度.

Bending and Vibration of Composite Laminated Plates

Hybrid-stress finite element method is applied for analysis of bending and vibration of composite laminated plates in this paper.Firstly,based on the modified-complementary principle,a reciangular hybrid-stress plate bending element is presented which applies to analysis of laminates.Inside the element,different stress parameters are assumed according to different layers.The boundary displacements are determined by means of theassumption of YNS theory on the boundary of elements.The element formed in this way not only can take effects of transverse shear deformation and local warping into account,but also has less degrees of freedom.Then.problems of bending and vibration of laminates aresolved by using this element.and the numerical results are compared with the exact solutions.This shows that the results obtained in the paper are very close to the exactresults.