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CONSTRUCTION OF WAVELET-BASED ELEMENTS FOR STATIC AND STABILITY ANALYSIS OF ELASTIC PROBLEMS

ISSN号：0894-9166
期刊名称：Acta Mechanica Solida Sinica
时间：0
页码：355-364
语言：英文
分类：TP242[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置] TQ533.1[化学工程—煤化学工程]
作者机构：[1]School of Mechatronic Engineering,Guilin University of Electronic Technology,Guilin 541004,China, [2]Aeronautical Key Lab of Smart Material and Structure,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China, [3]State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian 116024,China
相关基金：supported by the National Natural Science Foundation of China （No. 50805028）;; the Key Project of Chinese Ministry of Education （No. 210170）;; Guangxi key Technologies R ＆ D Program of China （Nos. 1099022-1 and 0900705 003）;; supported in part by the Excellent Talents in Guangxi Higher Education Institutions of China
相关项目：高速主轴动态性能数值模拟的小波有限元理论新研究

关键词：稳定性分析, 元素分析, 静力学分析, 小波变换, 三维弹性, 力学问题, B样条小波, 缩放功能, wavelet-based element, B-spline wavelet, plate and shell stability, 3D elastic problem

中文摘要：

二种基于小浪的元素被构造了分析盘子和壳和 3D 橡皮问题的静态的排水量的稳定性。当插入内推工作为静态的力学分析为稳定性分析和 3D 橡皮元素构造板和壳元素，间隔(BSWI ) 上的 B 花键小浪的可伸缩的功能被采用。放大功能的 BSWI 的主要优点为结构的分析是 B 花键功能近似和各种各样的基于小浪的元素的精确性。现在的元素的表演被典型数字例子表明。

英文摘要：

Two kinds of wavelet-based elements have been constructed to analyze the stability of plates and shells and the static displacement of 3D elastic problems.The scaling functions of B-spline wavelet on the interval（BSWI） are employed as interpolating functions to construct plate and shell elements for stability analysis and 3D elastic elements for static mechanics analysis.The main advantages of BSWI scaling functions are the accuracy of B-spline functions approximation and various wavelet-based elements for structural analysis.The performances of the present elements are demonstrated by typical numerical examples.

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