| Daubechies条件小波混合有限元法在梁计算中的应用 |
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| 引用本文： | 陈雅琴,张宏光,党发宁. Daubechies条件小波混合有限元法在梁计算中的应用[J]. 工程力学, 2011, 0(8): 208-214 |
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| 作者姓名： | 陈雅琴 张宏光 党发宁 |
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| 作者单位： | 西安理工大学岩土工程研究所;长安大学公路学院; |
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| 基金项目： | 国家自然科学基金项目(51008247) |
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| 摘 要： | 常规的Daubechies小波有限元法是以挠度为基本未知量的单变量有限元法，其弯矩函数需要通过挠度函数的二阶求导间接求解，故弯矩的计算精度一般比挠度低。此外，目前常用的Daubechies小波有限元法需要借助于转换矩阵引入位移边界条件，大大影响了计算精度。结合广义变分原理，将边界条件作为附加条件构造修正泛函，以该修正泛...
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| 关 键 词： | 数值计算 Daubechies小波 条件小波有限元 广义变分原理 混合有限元法 |
APPLICATION OF DAUBECHIES CONDITIONAL WAVELET MIXED FINITE ELEMENT METHOD IN NUMERICAL COMPUTATION OF BEAMS |
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| CHEN Ya-qin,ZHANG Hong-guang,DANG Fa-ning. APPLICATION OF DAUBECHIES CONDITIONAL WAVELET MIXED FINITE ELEMENT METHOD IN NUMERICAL COMPUTATION OF BEAMS[J]. Engineering Mechanics, 2011, 0(8): 208-214 |
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| Authors: | CHEN Ya-qin ZHANG Hong-guang DANG Fa-ning |
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| Affiliation: | CHEN Ya-qin1,ZHANG Hong-guang2,DANG Fa-ning1(1.Institute of Geotechnical Engineering,Xi'an University of Technology,Xi'an 710048,China,2.School of Highway,Chang'an University,Xi'an 710064,China) |
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| Abstract: | The conventional Daubechies wavelet Finite Element Method is a kind of single variable Finite Element Method using a deflection function as a basic unknown function.Its bending moment function has to be calculated indirectly by calculating the second derivative of the deflection function.Thusly the accuracy of bending moments is always worse than deflection.Furthurmore,in the present Daubechies wavelet Finite Element Method,the leading of displacement boundary conditions has to draw a support from a convert... |
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| Keywords: | numerical computation Daubechies wavelet conditional wavelet finite element method generalized variational principle mixed finite element method |
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