| 基于B样条小波有限元的混凝土温度场仿真分析 |
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| 引用本文： | 谭德坤,孙辉.基于B样条小波有限元的混凝土温度场仿真分析[J].中国农村水利水电,2012,0(1):155-158. |
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| 作者姓名： | 谭德坤 孙辉 |
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| 作者单位： | 南昌工程学院计算机系,南昌,330099 |
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| 基金项目： | 江西省2007年科技公关计划项目“计算机软件系统在高拱坝分析中的应用研究” |
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| 摘 要： | 提出了一种计算混凝土结构瞬态温度场的新方法。利用B样条小波的尺度函数代替多项式函数作为插值基函数，构造了二维及三维小波单元，建立了基于B样条小波的混凝土有限元计算模型。该模型详细讨论了混凝土热传导方程的小波有限元解法，推导了小波系数空间到物理空间的转换矩阵，给出了求解域的小波有限元列式。理论分析和数值计算结果表明，B样条小波有限元法是有效的，具有较高的计算精度和求解速度。
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| 关 键 词： | 小波有限元 B样条小波 混凝土 温度场 |
| 收稿时间： | 2011-03-21 |
| 修稿时间： | 2011-09-27 |
A Simulation Analysis of Temperature Field in Concrete Structures Based on B-spline Wavelet Finite Element |
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| TAN De-kun,SUN Hui.A Simulation Analysis of Temperature Field in Concrete Structures Based on B-spline Wavelet Finite Element[J].China Rural Water and Hydropower,2012,0(1):155-158. |
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| Authors: | TAN De-kun SUN Hui |
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| Institution: | (Department of Computer Science and Technology,Nanchang Institute of Technology,Nanchang 330099,China) |
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| Abstract: | In this paper,a new method for the calculation of transient temperature field in concrete structures is proposed.The scaling functions of B-spline wavelet are used as the interpolation basis function to replace the polynomial functions,then the 2-D and 3-D tensor wavelet elements are constructed,and the finite element calculation model in concrete structures is established based on B-spline wavelet.In this model,the B-spline wavelet finite element method for heat conduction equation in mass concrete is introduced in detail.The transformation matrix from wavelet coefficients space to physical space is deduced,and the B-spline wavelet finite element formula in solution domain is also proposed.Theoretical analyses and numerical simulations show that B-spline wavelet finite element presented in this paper is effective,which has good precision and high efficiency. |
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| Keywords: | wavelet finite element method B-spline wavelet concrete temperature field |
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