| 重构核粒子法在双参数地基薄板分析中的应用 |
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| 引用本文： | 曾祥勇,吴小伟,彭川海,刘晓博.重构核粒子法在双参数地基薄板分析中的应用[J].中国公路学报,2011(1). |
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| 作者姓名： | 曾祥勇 吴小伟 彭川海 刘晓博 |
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| 作者单位： | 重庆大学土木工程学院; |
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| 基金项目： | 中央高校基本科研业务费专项资金项目(CDJZR10200024);中央高校基本科研业务费专项资金项目(CDJRC10200012) |
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| 摘 要： | 以重构核粒子法(Reproducing Kernel Particle Method,RKPM)形函数的基函数及核函数为基础,推导了形函数关于位移场的一阶及二阶导函数。依据弹性力学的Kirchhoff薄板弯曲及双参数地基模型理论,应用上述推导成果,得出了双参数地基上薄板弯曲位移解的重构核粒子法控制方程,形成双参数地基上薄板弯曲受力分析的重构核粒子法计算理论。通过相应的程序编制及算例分析对该理论进行了验证。结果表明:该方法能够为路面工程地基板的受力分析提供一种新型有效的计算手段。
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| 关 键 词： | 道路工程 双参数地基 重构核粒子法 无网格法 薄板 |
Application of Reproducing Kernel Particle Method in Analysis for Thin Plate on Two-parameter Soil Foundation |
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| ZENG Xiang-yong,WU Xiao-wei,PENG Chuan-hai,LIU Xiao-bo.Application of Reproducing Kernel Particle Method in Analysis for Thin Plate on Two-parameter Soil Foundation[J].China Journal of Highway and Transport,2011(1). |
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| Authors: | ZENG Xiang-yong WU Xiao-wei PENG Chuan-hai LIU Xiao-bo |
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| Institution: | ZENG Xiang-yong,WU Xiao-wei,PENG Chuan-hai,LIU Xiao-bo(School of Civil Engineering,Chongqing University,Chongqing 400045,China) |
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| Abstract: | Based on the basic function and kernel function that forms the shape function of reproducing kernel particle method(RKPM),the first-order and second-order derivative functions of shape function about the displacement field were deduced.According to the elastic theory of Kirchhoff thin plate bending and two-parameter soil foundation model theory,applying the above deduction results,governing equations of RKPM to displacement solution calculation theory of RKPM to forcing analysis for thin plate bending on tw... |
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| Keywords: | road engineering two-parameter soil foundation reproducing kernel particle method meshless method thin plate |
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