Title
Static And Dynamic Analysis Of Cylindrical Shell By Different Kinds Of B-Spline Wavelet Finite Elements On The Interval
Abstract
Cylindrical shell is a fundamental structure in the area of mechanical and architectural engineering. In the predesign stage, accurate analysis is a key step to guarantee the performance in application. Finite element method is a commonly used method in structural analysis. However, due to the limitations of interpolation functions, accuracy and efficiency are restricted. Wavelet finite element method is an advanced numerical method which uses wavelet functions to replace the traditional polynomial function to discrete the solving variables. Daubechies, B-spline wavelet on the interval (BSWI) etc. have been used to construct the elements. However, they are mainly focused on the elements with one kind of variable. That is, only the displacement variable is interpolated directly and the generalized stress and strain are calculated second. Multivariable wavelet finite element can deal with this problem, in which the three kinds of variables can be interpolated and solved directly, thus the calculation error can be avoiding. In this paper, the BSWI scaling functions are used to construct the wavelet finite elements for cylindrical shell, including BSWI element with one kind of variables (BSWI-WFE), BSWI element with two kinds of variables (BSWI-TwWFE) and BSWI element with three kinds of variables (BSWI-ThWFE). Several numerical examples for cylindrical shell are provided to analyze the performance of the constructed elements and compared with each other to indicate superiority and efficiency.
Year
DOI
Venue
2020
10.1007/s00366-019-00804-2
ENGINEERING WITH COMPUTERS
Keywords
DocType
Volume
Cylindrical shell, B-spline wavelet on the interval, Wavelet finite element method, Two kinds of variables, Three kinds of variables
Journal
36
Issue
ISSN
Citations 
4
0177-0667
0
PageRank 
References 
Authors
0.34
0
6
Name
Order
Citations
PageRank
Xingwu Zhang1163.51
Yanfei He200.34
Zengguang Li300.34
Zhi Zhai4275.01
Ruqiang Yan553255.59
XueFeng Chen644155.44