任意梯度分布简支功能梯度板的三维弯曲分析  

Three-dimensional bending analysis for simply supported functionally graded plate of arbitrary graded distribution

作　　者：刘五祥[1] 仲政[1] 

机构地区：[1]同济大学航空航天与力学学院,上海200092

出　　处：《复合材料学报》2009年第2期195-199,共5页Acta Materiae Compositae Sinica

基　　金：国家自然科学基金重点项目(10432030);上海市优秀学科带头人计划项目(06XD14036);上海市重点学科建设项目(B302)

摘　　要：研究了正交各向异性功能梯度板的三维弯曲问题。假设材料参数沿板厚方向按同一函数规律变化,基于状态空间法,在板的上下表面作用机械载荷的情况下,获得了简支功能梯度平板弯曲问题的Peano-Baker级数解。通过算例,验证了Peano-Baker级数解的正确性,同时也分析了材料参数沿板厚方向为余弦函数分布时,不同梯度参数对平板响应的影响。结果表明Peano-Baker级数解具有很好的收敛性。A three - dimensional Assuming that material properties bending analysis was presented for an orthotropic functionally graded plate. have the same variations along the plate-thickness direction, Peano-Baker series solution was obtained for the elastic fields of the simply supported functionally graded plate under the mechanical loads on its upper and lower surfaces by means of the state space method. The correctness of the obtained series solution was validated through numerical examples. The different graded parameters toward the influence of the structural response of the plate were also studied when the material properties were of cosine function dependence on the thickness-coordinate. The numerical results show that the series solution has good convergence.

关 键 词：功能梯度板 Peano-Baker级数 三维弯曲分析 状态空间法 

分 类 号：O316[理学—一般力学与力学基础] TB330.1[理学—力学]