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  • 丁睿,张坤.薄板大挠度弯曲问题的DRM-MFS无网格方法[J].广西科学,2012,19(2):93-98,107.    [点击复制]
  • DING Rui,ZHANG Kun.DRM-MFS Meshless Method for Large Deflection Problem of Thin Plates[J].Guangxi Sciences,2012,19(2):93-98,107.   [点击复制]
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薄板大挠度弯曲问题的DRM-MFS无网格方法
丁睿, 张坤
0
(苏州大学数学科学学院, 江苏苏州 215006)
摘要:
在介绍薄板大挠度问题的控制方程及其推导过程的基础上,根据渐近迭代方法,分别用DRM方法和MFS方法近似特解和齐次解,得到求解薄板大挠度弯曲问题的DRM-MFS无网格近似方法,再通过数值算例验证方法的有效性及准确性.
关键词:  薄板大挠度弯曲问题  无网格方法  对偶互易方法  基本解方法
DOI:
投稿时间:2012-01-13
基金项目:国家自然科学基金项目(No.10672111)资助。
DRM-MFS Meshless Method for Large Deflection Problem of Thin Plates
DING Rui, ZHANG Kun
(School of Mathematical Science, Suzhou University, Suzhou, Jiangsu, 215006, China)
Abstract:
Undering introducing the derivation of control equation on large deflection problem of thin plat, applying incremental iteration method, and solving the approximate particular solution and homogeneous solution by DRM and MFS respectivly, a DRM-MFS meshless algorithm was presented for the large deflection problem of thin plate. The effectiveness and accuracy of this method were verified through numerical examples.
Key words:  large deflection problem of thin plate  meshless method  dual reciprocity method  fundamental solutions methods

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