B-Spline Wavelet on the Interval Element for the Solution of Hamilton Canonical Equation

被引：2
|
作者：
Liu, Yanhong [1 ]
Shi, Yongsheng [1 ]
Li, Dinghe [1 ]
Qing, Guanghui [1 ]
机构：
[1] Civil Aviat Univ China, Aeronaut Engn Coll, Tianjin 200200, Peoples R China
来源：
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2011年 / 18卷 / 06期
关键词：
wavelet-based finite element; B-spline wavelet on the interval; Hamilton canonical equation; semi-analytical solution; Hellinger-Reissner variational principle; LAMINATED COMPOSITE PLATES; FREE-VIBRATION ANALYSIS; ELECTRO-ELASTIC PLATES; SPACE FINITE-ELEMENT; SEMIANALYTICAL SOLUTION; PIEZOELECTRIC PLATES; CYLINDRICAL-SHELLS; DYNAMIC-ANALYSIS; AXISYMMETRICAL VIBRATION; THICK PLATES;
D O I：
10.1080/15376494.2010.528158
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Based on the modified Hellinger-Reissner (H-R) variational principle for the elastic material, the formulation of B-spline wavelet on the interval (BSWI) element of the Hamilton canonical equation was derived through the use of the interpolation scaling function of BSWI. To demonstrate the excellent predictive capability of the formulation, numerical studies were conducted on a thick plate and a three-layer plate with various common boundary conditions. The basic steps from which the formulation of the BSWI element of the Hamilton canonical equation was derived can also be extended to deduce the expressions of other wavelet elements in the Hamiltonian system, such as Daubechies orthogonal wavelet, biorthogonal wavelet based on lifting scheme, and so on.
引用
收藏
页码：446 / 453
页数：8
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