摘要
针对复合材料厚板问题,提出了一种三维位移数学模型.该模型不同于Mindlin一阶剪切理论和Reddy高阶剪切理论模型,具有较少参变量,兼顾了应变在厚度方向的变化,保留了横向应力.对均布横向载荷下,具有四边固支/及对边固支对边自由边界条件,各向同性/各向异性矩形板的计算与现有三维线性理论精确解、经典理论解、FEM分析结果一致,适于各类板厚的弯曲变形分析,并发现不考虑剪力边界条件比考虑剪力边界条件更接近于FEM.
A three-dimensional displacement mathematic model unlike Mindlin＇s first order shear model and Reddy＇s high-order shear model was proposed for solving the problems of thick plate made of composite materials ; it included fewer variable items, took account of the change of strain in thickness, and kept transverse stresses. Several examples show that under the evenly distributed lateral load, the solutions to the calculation of isotropic/anisotropic rectangular plate with clamped, opposite clamped, and opposite free edges are consistent with existing three-dimensional exact solutions, classical theory solutions, and Finite Element Method （FEM） analysis results, and are fit for flexural deformation analysis of all kinds of thick plates. The results also show that by not taking the shear boundary condition into account, the FEM is more closely followed than if it is taken into account.
出处
《哈尔滨工程大学学报》
EI
CAS
CSCD
北大核心
2012年第7期817-822,共6页
Journal of Harbin Engineering University
基金
国家自然科学基金资助项目(10702022)
关键词
三维位移数学模型
各向异性
矩形板
固支
对边自由
three-dimensional displacement mathematic model
anisotropy
rectangular plates
clamped
opposite free edge
作者简介
通信作者：罗加智（1965-），男，博士研究生，E—mml：snow93116@163．com．
刘土光（1941-），男，教授，博士生导师．
