摘要
本文研究了正交各向异性混杂叠层梁的应力与变形计算。叠层梁是由几层弹性性质明显不同的非均质子层梁组成。对每一子层梁应用剪切理论,并假设相邻子层梁的交界面是理想连接。文中导出了关于子层梁剪切转角ψ_i的二阶常微分方程组。求解微分方程组可得到叠层梁应力与位移关于剪切转角的ψ_i解析表达式。叠层梁组分材料中任一点应力可按有效模量理论和整体——局部方法[3]求得。
In this paper the stress and deformation in a orthotropic hybrid laminated beam are studied. The laminated beam consists of some nonhomo-geneous sub-layers, the elasticity of which is significantly different. The shear theory is applied to each sub-layers and the perfect bonding is assu-med in the interface between adjoining sub-layers. In this paper, a set of second-order ordinary differential equations with respect to the unknown rotation angle of each sub-layer is established. Solving the differential equa-tions, the displacement and stress can be analytically obtained. The stress in component materials can be determined by use of the effective modulus theory and global-local method.
出处
《复合材料学报》
EI
CAS
CSCD
北大核心
1991年第4期59-69,共11页
Acta Materiae Compositae Sinica
关键词
非均质
抗剪强度
层梁
叠层梁
应变
nonhomogeneous, hybrid laminated beam, shear rotation angle, shear theory, sub-layers beam, layer, strip
