正交加筋复合材料夹层板弯曲问题求解  

Bending solution of orthogonally rib-stiffened composite sandwich plate

作　　者：吴梵[1] 杨坤[1] 梅志远[1] 李华东[1] 

机构地区：[1]海军工程大学,武汉430033

出　　处：《船舶力学》2013年第1期92-101,共10页Journal of Ship Mechanics

摘　　要：正交加筋均质芯材基于一阶剪切变形理论,并采用δ函数描述其非连续性,复合材料面板采用Kirchhoff薄板假设,以面板面内位移和结构整体横向位移为响应函数,通过能量原理推导了正交加筋芯材复合材料夹层板的静力学平衡方程。考虑四边简支边界条件,采用双傅立叶级数位移函数求解了正交各向异性复合材料面板正交加筋均质芯材夹层板受均布载荷作用的弯曲响应,通过将夹层板的位移和应力响应与有限元计算结果进行对比,验证了文中求解方法的正确性。The continuity of orthogonally rib-stiffened homogeneous core material is described by using function, and its deformation is based on the first-order shear theory, composite panels are considered as Kirchhoff thin plate, taking the in-plane displacements of the face panels and the transverse displacement of the whole structure as response functions, the static balance equations of the orthogonally rib-stiffened composite sandwich plate were derived through the energy principle. Considering simply supported bound- ary conditions, the bending response of a sandwich plate with orthotropic composite panels and orthogonal- ly fib-stiffened homogeneous core under uniform pressure was obtained by using the double Fourier series function solution. A displacement and stress response comparison of the theory and the finite element calcu- lation results were carried out, the validation shows that the solution method of this paper is correct.

关 键 词：夹层板 复合材料 正交加筋 弯曲 

分 类 号：U661.4[交通运输工程—船舶及航道工程]