| 区间B样条小波薄壳截锥单元构造 |
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| 引用本文： | 陈雪峰,向家伟,何正嘉.区间B样条小波薄壳截锥单元构造[J].应用力学学报,2007,24(4):599-603. |
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| 作者姓名： | 陈雪峰 向家伟 何正嘉 |
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| 作者单位： | 西安交通大学,710049,西安 |
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| 基金项目： | 国家自然科学基金;国家重点基础研究发展计划(973计划);陕西省自然科学基金 |
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| 摘 要： | 利用区间B样条小波的尺度函数作为有限元插值函数,从轴对称壳的能量泛函出发,由变分原理导出了单元刚度矩阵和载荷列阵,构造了区间B样条小波薄壳截锥单元.区间B样条小波单元同时具有B样条函数数值逼近精度高和多种用于结构分析的变尺度基函数的特点.数值算例表明:与传统截锥单元相比,本文构造的小波单元具有求解精度高、单元数量和自由度少等优点.
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| 关 键 词： | 区间B样条小波 轴对称问题 有限元 截锥壳单元 |
| 文章编号： | 1000-4939(2007)04-0599-05 |
| 修稿时间： | 2006年4月6日 |
Construction of Thin Truncated Conical Shell Elements by Inteval B-spline Wavelet |
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| Chen Xuefeng,Xiang Jiawei,He Zhengjia.Construction of Thin Truncated Conical Shell Elements by Inteval B-spline Wavelet[J].Chinese Journal of Applied Mechanics,2007,24(4):599-603. |
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| Authors: | Chen Xuefeng Xiang Jiawei He Zhengjia |
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| Abstract: | The scaling functions of B-spline wavelet on the interval(BSWI)were employed to construct the shape functions of finite element.Based on the energy function of axial symmetric shell,the element stiffness matrix and load matrix were derived,and the BSWI thin truncated conical shell element was constructed.The method is endowed with higher approximation accuracy of B-spline functions and various basis functions for structural analysis.The numerical examples demonstrate that the proposed schemeoutperforms with higher accuracy,less elements and degree of freedoms. |
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| Keywords: | B-spline wavelet on the interval Finite element method Axial symmetric problem Truncated conical shell element |
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