摘要
提出了一种复合材料层合圆板三维非线性问题的解析方法。分析了中等大挠度的几何非线性问题，采用摄动方法和变分原理来满足三维弹性理论基本微分方程及边界条件，得到了受横向载荷作用的正交各向异性单层固支圆板和层合固支圆板的高精确度三维非线性解析解，并图示出了板中的位移和应力分布。结果表明，该解析方法对于求解层合板的三维非线性问题是有效的。
An analytic method is presented for nonlinear three-dimensional problems of compo-site laminated circular plates.The geometric nonlinearity from a moderately large deflection isconsidered.The perturbation method and the variational principle are used to satisfy the nonlinear three-dimensional di fferential equations and the boundary conditions.The analvtic nonlinear three-dimensional solutions of high accuracy are obtained for circular laminas and laminated plates with rigidly clamped edges and under uniform transverse loadings.Each of the plate displacements and stresses is shown in figures.The results show that this analytic method used to solve nonlinear three-dimensional problems for composite laminates is effective.
出处
《航空学报》
EI
CAS
CSCD
北大核心
1994年第8期930-936,共7页
Acta Aeronautica et Astronautica Sinica
关键词
非线性
复合材料
层合板
三维
nonlinearity,perturbation method,variational principle,composite laminated Plates,three-dimension
