摘要
有材料性质的任意的分布的一个简单地支持的机能上地分级的矩形的盘子的三维的分析基于 Haar 小浪用一个简单、有效的方法被做。与在对待奇特的好特征, Haar 系列答案为任意的分布很快收敛,特别为材料性质在一些区域很快变化的盒子。通过数字例子,到机械刺激的板的结构的反应上的顶和底部表面和不同材料坡度分布上的材料常数的比率的影响被学习。
A three-dimensional analysis of a simply-supported functionally graded rectangular plate with an arbitrary distribution of material properties is made using a simple and effective method based on the Haar wavelet. With good features in treating singularities, Haar series solution converges rapidly for arbitrary distributions, especially for the case where the material properties change rapidly in some regions. Through numerical examples the influences of the ratio of material constants on the top and bottom surfaces and different material gradient distributions on the structural response of the plate to mechanical stimuli are studied.
基金
Project supported by the National Natural Sciences Foundation of China(No.10432030).
关键词
哈雾子波
矩形板块
三维空间分析
机能等级材料
functionally graded material, rectangular plate, Haar wavelet, three-dimensional analysis