| 重心插值Galerkin法求解梁弯曲变形问题 |
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| 引用本文： | 綦甲帅,王兆清.重心插值Galerkin法求解梁弯曲变形问题[J].山东科学,2013,26(3):60-65. |
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| 作者姓名： | 綦甲帅 王兆清 |
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| 作者单位： | 山东建筑大学工程力学研究所，山东 济南 250101 |
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| 摘 要： | 本文运用广义函数建立非连续载荷作用下梁弯曲变形的控制方程，采用重心有理插值函数作为试函数，利用Delta函数的积分筛选性，建立重心有理插值Galerkin法求解梁弯曲变形问题的计算公式。数值算例表明，该方法原理简单，易于程序实现，数值计算精度高。
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| 关 键 词： | 重心有理插值 广义函数 梁弯曲变形问题 Galerkin法 |
| 收稿时间： | 2012-10-18 |
The solution of beam bending problem with barycentric rational interpolation Galerkin method |
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| QI Jia-shuai
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WANG Zhao-qing.The solution of beam bending problem with barycentric rational interpolation Galerkin method[J].Shandong Science,2013,26(3):60-65. |
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| Authors: | QI Jia-shuai WANG Zhao-qing |
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| Institution: | Institute of Engineering Mechanics, Shandong Jianzhu University, Jinan 250101, China |
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| Abstract: | We employ a generalized function to construct the governing equation of beam bending under discrete loads. We also present the formula for solving beam bending problem by barycentric interpolation Galerkin method with barycentric rational interpolation as a test function and integral filtering of a Delta function. Numerical calculation examples demonstrate that the presented method has such positives as simplicity principle, easy programming and high accuracy. |
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| Keywords: | barycentric rational interpolation generalized function beam bending problem Galerkin method |
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