Three-dimensional bending analysis for simply supported functionally graded plate of arbitrary graded distribution
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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。
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关键词:
- 功能梯度板 /
- Peano-Baker级数 /
- 三维弯曲分析 /
- 状态空间法
Abstract: A three-dimensional bending analysis was presented for an orthotropic functionally graded plate. Assuming that material properties 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.
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