TY - JOUR
T1 - Static and dynamic analysis of cylindrical shell by different kinds of B-spline wavelet finite elements on the interval
AU - Zhang, Xingwu
AU - He, Yanfei
AU - Li, Zengguang
AU - Zhai, Zhi
AU - Yan, Ruqiang
AU - Chen, Xuefeng
N1 - Publisher Copyright:
© 2019, Springer-Verlag London Ltd., part of Springer Nature.
PY - 2020/10/1
Y1 - 2020/10/1
N2 - 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.
AB - 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.
KW - B-spline wavelet on the interval
KW - Cylindrical shell
KW - Three kinds of variables
KW - Two kinds of variables
KW - Wavelet finite element method
UR - https://www.scopus.com/pages/publications/85067858951
U2 - 10.1007/s00366-019-00804-2
DO - 10.1007/s00366-019-00804-2
M3 - 文章
AN - SCOPUS:85067858951
SN - 0177-0667
VL - 36
SP - 1903
EP - 1914
JO - Engineering with Computers
JF - Engineering with Computers
IS - 4
ER -