考虑横向剪切变形的反对称角铺设层合板的弯曲
BENDING ANALYSIS OF ANTISYMMETRIC ANGLE-PLY COMPLSITE LAMINATES WITH THE CONSIDERATION OF SHEAR DEFORMATION
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摘要: 本文对考虑横向剪切变形的反对称角铺设复合材料层合板弯曲问题进行了理论分析,得到了简化分层理论的封闭形式解。在由位能变分原理得到一般方程的基础上引入合理假设,得到了适合本问题的求解方程。在用简化的分层理论对典型算例进行数值计算的同时,也用经典层合板理论和一阶剪切变形理论进行了计算,一并与相关文献的三维精确解加以比较,结果表明,简化分层理论可以有效地应用于反对称角铺设层合板的弯曲问题。Abstract: A bending analysis,with consideration of transverse shear deformation,is presented for antisymmetric angle-ply composite laminates. A closed form solution is obtained by use of Simplified Discrete-Layer Theory (SDLT).The governing equations are derived on the basis of the general equations obtained by the principle of minimum potential energy through introduction of additional assumptions suitable for the laminate layout. Numerical computations are carried out for a few example laminates by SDLT,Classical Plate Theory (CPT) and First-order Shear Deformation Theory (FSDT) ,All the results obtained are compared with the three dimensional solutions from the literature. It is shown that the bending problems of antisymmetric angle-ply laminates are solved effectively by SDLT.
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Key words:
- laminates /
- bending /
- antisymmetric angle-ply /
- shear deformation
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