| THE CONSTRUCTION OF WAVELET-BASED TRUNCATED CONICAL SHELL ELEMENT USING B-SPLINE WAVELET ON THE INTERVAL |
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| 作者姓名： | Xiang Jiawei He Zhengjia Chen Xuefeng |
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| 作者单位： | Xiang Jiawei School of Mechantronic Engineering，Guilin University of Electronic Technolgu，Guilin 541004，China
He Zhengjia School of Mechanical Engineering，Xi'an Jiaotong University，The State Key Laboratory for Manufacturing Systems Engineering，Xi'an 710049，China
Chen Xuefeng School of Mechanical Engineering，Xi'an Jiaotong University，The State Key Laboratory for Manufacturing Systems Engineering，Xi'an 710049，China |
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| 基金项目： | 国家自然科学基金
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国家重点基础研究发展计划(973计划)
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教育部高等学校博士学科点专项科研基金 |
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| 摘 要： | Based on B-spline wavelet on the interval (BSWI), two classes of truncated conicalshell elements were constructed to solve axisymmetric problems, i.e. BSWI thin truncated conicalshell element and BSWI moderately thick truncated conical shell element with independent slope-deformation interpolation. In the construction of wavelet-based element, instead of traditionalpolynomial interpolation, the scaling functions of BSWI were employed to form the shape functionsthrough the constructed elemental transformation matrix,and then construct BSWI element viathe variational principle. Unlike the process of direct wavelets adding in the wavelet Galerkinmethod, the elemental displacement field represented by the coefficients of wavelets expansionwas transformed into edges and internal modes via the constructed transformation matrix. BSWIelement combines the accuracy of B-spline function approximation and various wavelet-basedelements for structural analysis. Some static and dynamic numerical examples of conical shellswere studied to demonstrate the present element with higher efficiency and precision than thetraditional element.
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| 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 |
| 收稿时间： | 2005-12-01 |
| 修稿时间： | 2006-11-10 |
THE CONSTRUCTION OF WAVELET-BASED TRUNCATED CONICAL SHELL ELEMENT USING B-SPLINE WAVELET ON THE INTERVAL |
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| Xiang Jiawei He Zhengjia Chen Xuefeng.THE CONSTRUCTION OF WAVELET-BASED TRUNCATED CONICAL SHELL ELEMENT USING B-SPLINE WAVELET ON THE INTERVAL[J].Acta Mechanica Solida Sinica,2006,19(4):316-326. |
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| Authors: | Xiang Jiawei He Zhengjia Chen Xuefeng |
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| Institution: | 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;1. Department of Civil Engineering, Faculty of Engineering, Suleyman Demirel University, 32260 Isparta, Turkey;2. Department of Engineering Mathematics, Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey;1. Department of Mathematical Information Technology, University of Jyväskylä, P.O. Box 35 (Agora), FI-40014, Finland;2. Institute for Problems in Mechanics RAS, Prospect Vernadskogo 101, Bld. 1, 119526 Moscow, Russian Federation;1. Department of Statistics, Iowa State University, United States;2. Indian Agricultural Statistics Research Institute, India |
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| Abstract: | 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 slope- deformation 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. |
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| Keywords: | B-spline wavelet on the interval finite element method axisymmetric problem truncated conical shell element |
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