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Static and dynamic analysis of cylindrical shell by different kinds of B-spline wavelet finite elements on the interval

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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.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (nos. 51775408 and 51505364), the Research and Development of Intelligent Manufacturing Cutting Parameters Big Data Demonstration System (2017CGZH-XNGJ-02) and the Fundamental Research Funds for the Central Universities.

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Authors and Affiliations

  1. State Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an, 710049, Shaanxi, China

    Xingwu Zhang, Yanfei He, Zhi Zhai, Ruqiang Yan & Xuefeng Chen

  2. School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an, 710049, Shaanxi, China

    Xingwu Zhang, Yanfei He, Zhi Zhai, Ruqiang Yan & Xuefeng Chen

  3. China Ship Development and Design Centre, Shanghai, 201108, China

    Zengguang Li

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  1. Xingwu Zhang
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  2. Yanfei He
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Correspondence to Zhi Zhai.

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Zhang, X., He, Y., Li, Z. et al. Static and dynamic analysis of cylindrical shell by different kinds of B-spline wavelet finite elements on the interval. Engineering with Computers 36, 1903–1914 (2020). https://doi.org/10.1007/s00366-019-00804-2

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  • DOI: https://doi.org/10.1007/s00366-019-00804-2

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