东篱科研大数据发现系统（DRDS）

位置：成果数据库 > 期刊 > 期刊详情页

THE CONSTRUCTION OF WAVELET-BASED TRUNCATED CONICAL SHELL ELEMENT USING B-SPLINE WAVELET ON THE INTERVAL

ISSN号：0894-9166
期刊名称：《固体力学学报：英文版》
时间：0
分类：O241.82[理学—计算数学;理学—数学]
作者机构：[1]School of Mechantronic Engineering, Guilin University of Electronic Technology, Guilin 541004, China, [2]School of Mechanical Engineering, Xi＇an Jiaotong University, The State Key Laboratory for Manufacturing Systems Engineering, Xi ＇an 710049, China
相关基金：Project supported by the National Natural Science Foundation of China （Nos. 50335030, 50505033 and 50575171）, National Basic Research Program of China （No. 2005CB724106） and Doctoral Program Foundation of University of China （No. 20040698026）.

作者： Xiang Jiawei[1], He Zhengjia[2], Chen Xuefeng[2]

关键词： B样条函数小波, 截头圆锥外壳元, 有限元法, 轴对称问题, B-spline wavelet on the interval, finite element method, axisymmetric problem truncated conical shell element

中文摘要：

在间隔(BSWI ) 上基于 B 花键小浪，截断的圆锥形的壳元素的二个班被构造解决 axisymmetric 问题，即 BSWI 薄截断的圆锥形的壳元素和 BSWI 有独立斜坡变丑插值的中等厚的截断的圆锥形的壳元素。在基于小浪的元素的构造，而不是传统的多项式插值， BSWI 的可伸缩的功能被采用经由变化原则通过构造元素的转变矩阵，然后构造 BSWI 元素形成形状功能。不同于把小浪 Galerkin 方法加在一起的直接小浪的进程，小浪扩大的系数代表的元素的排水量域经由构造转变矩阵被转变成边和内部模式。BSWI 元素为结构的分析联合 B 花键功能近似和各种各样的基于小浪的元素的精确性。圆锥形的壳的一些静态、动态的数字例子被学习比传统的元素与更高的效率和精确表明现在的元素。

英文摘要：

Based on B-spline wavelet on the interval （BSWI）, two classes of truncated conical shell elements were constructed to solve axisymmetric problems, i.e. BSWI thin truncated conical shell element and BSWI moderately thick truncated conical shell element with independent slopedeformation interpolation. In the construction of wavelet-based element, instead of traditional polynomial interpolation, the scaling functions of BSWI were employed to form the shape functions through the constructed elemental transformation matrix, and then construct BSWI element via the variational principle. Unlike the process of direct wavelets adding in the wavelet Galerkin method, the elemental displacement field represented by the coefficients of wavelets expansion was transformed into edges and internal modes via the constructed transformation matrix. BSWI element combines the accuracy of B-spline function approximation and various wavelet-based elements for structural analysis. Some static and dynamic numerical examples of conical shells were studied to demonstrate the present element with higher efficiency and precision than the traditional element.

同期刊论文项目