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重心插值Galerkin法求解梁弯曲变形问题 被引量：2

The solution of beam bending problem with barycentric rational interpolation Galerkin method
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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。 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.
作者 綦甲帅 王兆清
机构地区 山东建筑大学工程力学研究所
出处 《山东科学》 CAS 2013年第3期60-65,共6页 Shandong Science
关键词 重心有理插值 广义函数 梁弯曲变形问题 GALERKIN法 barycentric rational interpolation generalized function beam bending problem Galerkin method
分类号 TU311 [建筑科学—结构工程]
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参考文献14

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二级参考文献15

共引文献20

同被引文献16

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引证文献2

山东科学
2013年 第3期

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