含内部分层复合材料层板三维问题的三角级数能量解法

基金项目: 国家自然科学基金资助课题之一

详细信息

ENERGYMETHOD OF TRIGONOMETRIC SERIES ABOUT THREEDIMENSIONALPROBLEMS OF INNER DELAMINATION IN COMPOSITE LAMINATES

摘要

摘要: 本文根据叠加原理分解含内部分层复合材料层板的受力状态, 使分层问题归结为分层表面受附加剪切载荷作用时附加状态的分析, 然后根据边界条件, 利用三角级数构造位移模态, 进而由势能原理确定位移解答, 并做收敛性验证。计算表明, 结果收敛, 挠度收敛尤为迅速。
- 复合材料层板, 分层, 三维问题, 附加状态, 三角级数, 能量解法
Abstract: By means of the principle of superposition, the stress state of a composite laminate with inner delamination is decomposed and the problem of delamination can be reduced to the analysis of an additional stress state of the original laminate subjected to additional shear load along the delamination surfaces. The trigonometric series is applied to describe the displacement mode satisfying the boundary conditions and the principle of minimum potential energy is used to determine the unknown coefficients of the above series. The convergency tests are carried out. From the computational results, it can be shown that all of the displacement components are convergent and the deflection converges more rapidly.
- composite laminated plate