| Winkler地基上Kirchhoff板分析的RKPM无网格法 |
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| 引用本文： | 曾祥勇,彭川海,邓安福.Winkler地基上Kirchhoff板分析的RKPM无网格法[J].岩土力学,2010,31(Z2):98-103. |
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| 作者姓名： | 曾祥勇 彭川海 邓安福 |
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| 作者单位： | 重庆大学 土木工程学院，重庆 400045 |
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| 基金项目： | 中央高校基本科研业务费资助(No. CDJZR10200024，CDJRC10200012)。 |
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| 摘 要： | RKPM是基于核函数(样条函数)近似的一种典型无网格计算方法。完整推导了RKPM无网格法形函数的一阶、二阶导函数,结合Kirchhoff薄板理论,建立了Winkler地基上薄板弯曲挠度的RKPM无网格法求解控制方程,编制了相应的程序,算例分析表明,该方法有效可行。
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| 关 键 词： | 计算方法 RKPM 无网格法 Kirchhoff薄板 Winkler地基 |
| 收稿时间： | 2010-09-06 |
Analysis of Kirchhoff plate on Winkler foundation by reproducing kernel particle method |
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| ZENG Xiang-yong,PENG Chuan-hai,DENG An-fu.Analysis of Kirchhoff plate on Winkler foundation by reproducing kernel particle method[J].Rock and Soil Mechanics,2010,31(Z2):98-103. |
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| Authors: | ZENG Xiang-yong PENG Chuan-hai DENG An-fu |
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| Institution: | College of Civil Engineering，Chongqing University, Chongqing 400045, China |
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| Abstract: | Reproducing kernel particle method (RKPM) is a typical meshless method based on kernel function (spline function) simulation. The first and second derivatives of RKPM shape function are deduced completely; with Kirchhoff thin plate theory, the meshless method RKPM governing equations for deflection solution of thin plate on Winkler foundation are established; numerical analysis results indicate that the above method and corresponding program are feasible and effective. |
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| Keywords: | computational method reproducing kernel particle method meshless method Kirchhoff thin plate Winkler foundation |
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