| 中厚板问题的多变量小波有限元法 |
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| 引用本文： | 黄义,韩建刚.中厚板问题的多变量小波有限元法[J].工程力学,2005,22(2):73-78. |
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| 作者姓名： | 黄义 韩建刚 |
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| 作者单位： | 西安建筑科技大学,陕西,西安,710055;西安建筑科技大学,陕西,西安,710055 |
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| 摘 要： | 提出了一种基于二类变量广义变分原理的多变量小波有限元方法。首先构造了便于边界条件处理的插值小波基,应用乘积型二元插值小波基来构造中厚板的广义变量场函数,通过二类变量广义变分原理建立了多变量小波有限元模型。在计算各种变量时,不需要利用其物理关系,也不必求导,可直接计算其结果,因而各种变量均有足够的精度。
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| 关 键 词： | 广义变分原理 多变量 小波有限元 插值小波 板 |
| 文章编号： | 1000-4750(2005)02-0073-06 |
THE MULTIVARIABLE WAVELET FINITE ELEMENT METHOD FOR THICK PLATE PROBLEMS |
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| HUANG Yi,HAN Jian-gang.THE MULTIVARIABLE WAVELET FINITE ELEMENT METHOD FOR THICK PLATE PROBLEMS[J].Engineering Mechanics,2005,22(2):73-78. |
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| Authors: | HUANG Yi HAN Jian-gang |
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| Abstract: | A multivariable wavelet finite element method (FEM) is presented, which is based on Hellingger- Reissner variational principle. The interpolating wavelet bases are constructed in order to deal with boundary conditions conveniently, and two-dimensional interpolating wavelet bases in product form are used to construct the generalized field functions of thick plate. In calculating variables the stress-strain relations and the differential calculation are bypassed, resulting in high variable accuracy. |
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| Keywords: | generalized variational principle multivariable wavelet finite element method interpolating wavelet plate |
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