学术
基于Haar小波方法的功能梯度材料矩形板三维力学分析
张纯[1,2] 仲政[1]
[1]同济大学航空航天与力学学院,上海200092 [2]南昌大学建筑工程学院,南昌330031
摘 要:
利用Haar小波方法对任意材料梯度分布的四边简支功能梯度材料矩形板进行了三维力学分析.由于小波方法在求解局部奇异性问题上的优越性，对于任意材料梯度变化，甚至材料性质存在局部剧烈变化的情况，各分量的Haar小波级数解都有较好的收敛性.通过算例得到了矩形板在机械荷载作用下，平板上下表面材料性质差异以及材料不同梯度形式对其结构响应的影响.[著者文摘]
文章出处:
《固体力学学报》-2007年28卷3期 -217-223页
分 类 号:
THREE-DIMENSIONAL ANALYSIS OF A SIMPLY SUPPORTED FUNCTIONALLY GRADED PLATE BASED ON HAAR WAVELET METHOD
Zhang Chun, Zhong Zheng （1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092;2. School of Civil Engineering and Architecture, Nanchang University, Nanchang, 330031）
Abstract:
Three-dimensional analysis of a simply supported functionally graded rectangular plate with arbitrary distribution of material properties is made using a simple and effective method based on Haar wavelet. Since good features in treating singularities, Haar series solution converges for arbitrary distribution of material properties, especially for the case that material properties change in some regions. Through numerical examples the influences of the material property differences between the top and bottom surfaces and the different material gradients on the structural response of the plate to mechanical stimuli are studied.[著者文摘]
Key words:
functionally graded material, rectangular plate, Haar wavelet, three-dimensional analysis
基金资助:
国家自然科学基金重点项目（10432030）资助.
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