非均质混杂叠层梁的分层剪切理论

A SHEAR THEORY OF NONHOMOGENEOUS HYBRID LAMINATED BEAM

Department of Engneering Mechanics, Shanghai Jiaotong University, Shanghai 200030

摘要

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.
- 非均质 /
- 混杂叠层梁 /
- 剪切转角 /
- 剪切理论 /
- 子层梁 /
- 单层 /
- 单层条
Abstract: In this paper the stress and deform ation in a orthotxopic 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 assumed in the interface batween 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 equations,the displace ment 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.
- nonhomogeneous /
- hybrid laminated beam /
- shear rotation angle shear theory /
- sub-layers beam /
- layer /
- strip /
- undefined