组合层板在横向载荷作用下的变形特性

用Hellinger-Reissner变分泛涵,对由多层薄板组合而成的组合层板在横向载荷作用下变形的受力特性进行了研究。组合层板的层数是任意的,各层的材料可以相同也可以不同,每层的厚度是均匀的。假设各层间互相接触,且满足滑移条件,用杂交元建立了组合层板的受力模型。根据假设条件导出了位移函数和应力函数多项式。用杂交元对组合层板进行了分析计算,并用实验进行了验证,说明计算理论的正确性。从计算结果看出,在绐定的薄板厚度很薄的情况下,多层板基本上是绕每层板的中性平面弯曲的。在工程应用时,可以按单层板进行计算,不会带来很大的误差。

The Feature of Laminated Composite Plate under the Deformation Caused by Cross Loads

By Hellinger-Reissner variation functional, this paper presents a study of the behaviours of laminated composite plate under the deformation caused by cross loads. The number of the layers of the laminated composite plate is.not constrained and the materials of each layer can be either the same or not. Here it is assumed that the layers are in mutual contact with each other with the thickness of each layer unchanged, and the sliding condition is satisfied. By hybrid finite element, also in this paper, we have set a mechanic model for the plate and derived one polynomial for the displacement function and the other for the stress function. The analysis and calculation to the composite plate are made in several esxperiments to confirm the correctness of the presented theory and formulas. From the calcution results it is concluded that, when the laminated composite plate is bent with each layer thin enough, the plate is bent relative to the neutral plane of each layer and thus it can be regarded as, without any noticeable error, a singer-layer plate in calculation for engineering.