| 滑动最小二乘插值函数加权残值法在Winkler地基上梁和板分析中的应用 |
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| 引用本文： | 王杰光,曾德顺. 滑动最小二乘插值函数加权残值法在Winkler地基上梁和板分析中的应用[J]. 桂林工学院学报, 2001, 21(4): 360-365 |
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| 作者姓名： | 王杰光 曾德顺 |
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| 作者单位： | 1. 桂林工学院土木工程系,
2. 同济大学特种土木工程技术研究所 |
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| 基金项目： | 上海隧道工程股份有限公司资助 |
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| 摘 要： | 利用滑动最小二乘法构造加权残值法中的试函数，采用配点法求出试函数中的系数，进而可得到定解问题的解；对Winkler地基上的梁和板进行了数值计算，并与理论结果进行对比，结果表明，该试函数适用于多种边值问题，且精度高。
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| 关 键 词： | 滑动最小二乘法 插值函数 加权残值配点法 Winkler地基 梁 板 |
| 文章编号： | 1006-544(2001)04-0360-06 |
| 修稿时间： | 2001-02-23 |
The calculations of beams and plates on Winkler foundation in t hemethod of weighted residuals with moving least squares interpolant |
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| WANG Jie-guang ,ZENG De-shun. The calculations of beams and plates on Winkler foundation in t hemethod of weighted residuals with moving least squares interpolant[J]. Journal of Guilin University of Technology, 2001, 21(4): 360-365 |
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| Authors: | WANG Jie-guang ZENG De-shun |
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| Affiliation: | WANG Jie-guang 1,ZENG De-shun 2 |
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| Abstract: | The moving least squares method is used to construct trial function which is used in the method of weighted residuals. The coefficients in trial function are obtained by point collocation method, and therefore the resolutions of the boundary value problems are obtained. Beams and plates on Winkler foundation were calculated in method and comparisons with theoretical results were made.It proves that this trial function is applied to solving many boundary value problems with a high accuracy. |
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| Keywords: | moving least squares methods interpolant method of weighted residuals point collocation method Winkler foundation |
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