中厚板问题的多变量小波有限元法

详细信息

THE MULTIVARIABLE WAVELET FINITE ELEMENT METHOD FOR THICK PLATE PROBLEMS

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。
- 广义变分原理 /
- 多变量 /
- 小波有限元 /
- 插值小波 /
- 板
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.
- generalized variational principle /
- multivariable /
- wavelet finite element method /
- interpolating wavelet /
- plate