| 基于Haar小波方法的功能梯度压电材料矩形板三维力学分析 |
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| 引用本文： | 张纯,仲政.基于Haar小波方法的功能梯度压电材料矩形板三维力学分析[J].工程力学,2008,25(11). |
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| 作者姓名： | 张纯 仲政 |
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| 作者单位： | [1]南昌大学建工学院,南昌330031 [2]同济大学航空航天与力学学院,上海200092 |
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| 摘 要： | 针对任意材料梯度分布形式的四边简支、接地功能梯度压电材料平板,把Haar小波方法引入平板结构的三维分析中。由于小波方法在求解存在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,该文分析了在机械荷载、电荷载分别作用下,材料不同梯度形式、平板上下表面材料性质差异对功能梯度压电平板结构响应的影响。
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| 关 键 词： | 功能梯度材料 压电材料 矩形板 Haar小波 三维力学分析 |
THREE-DIMENSIONAL MECHANICAL ANALYSIS OF A SIMPLY SUPPORTED FUNCTIONALLY GRADED PIEZOELECTRIC PLATE BASED ON HAAR WAVELET METHOD |
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| ZHANG Chun,ZHONG Zheng.THREE-DIMENSIONAL MECHANICAL ANALYSIS OF A SIMPLY SUPPORTED FUNCTIONALLY GRADED PIEZOELECTRIC PLATE BASED ON HAAR WAVELET METHOD[J].Engineering Mechanics,2008,25(11). |
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| Authors: | ZHANG Chun ZHONG Zheng |
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| Affiliation: | 1. School of Civil Engineering and Architecture;Nanchang University;Nanchang 330031;China;2. School of Aerospace Engineering and Applied Mechanics;Tongji University;Shanghai 200092;China |
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| Abstract: | Three-dimensional mechanical analysis of a simply supported and grounded functionally graded piezoelectric rectangular plate with arbitrary distributions of the material properties has been made using a simply and effective method based on Haar wavelet. Since the good features in treating local singularities, the present method based on Haar wavelet is of high precision and efficiency for arbitrary distribution style, especially for the case that the material properties change rapidly in some structural reg... |
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| Keywords: | functionally graded material piezoelectric material rectangular plate Haar wavelet three-dimensional mechanical analysis |
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