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郭文杰, 李佳宝, 罗文俊, 洪显, 徐长节. 基于区域分解及零空间技术的周期排桩结构带隙计算方法与特性研究[J]. 岩土工程学报, 2024, 46(3): 648-654. DOI: 10.11779/CJGE20221552
引用本文: 郭文杰, 李佳宝, 罗文俊, 洪显, 徐长节. 基于区域分解及零空间技术的周期排桩结构带隙计算方法与特性研究[J]. 岩土工程学报, 2024, 46(3): 648-654. DOI: 10.11779/CJGE20221552
GUO Wenjie, LI Jiabao, LUO Wenjun, HONG Xian, XU Changjie. Method and characteristics of band gap of periodic pile row structures based on domain decomposition and nullspace technology[J]. Chinese Journal of Geotechnical Engineering, 2024, 46(3): 648-654. DOI: 10.11779/CJGE20221552
Citation: GUO Wenjie, LI Jiabao, LUO Wenjun, HONG Xian, XU Changjie. Method and characteristics of band gap of periodic pile row structures based on domain decomposition and nullspace technology[J]. Chinese Journal of Geotechnical Engineering, 2024, 46(3): 648-654. DOI: 10.11779/CJGE20221552

基于区域分解及零空间技术的周期排桩结构带隙计算方法与特性研究

Method and characteristics of band gap of periodic pile row structures based on domain decomposition and nullspace technology

  • 摘要: 针对传统能量法求解周期排桩结构带隙时位移型函数构造复杂、计算成本高、因桩土参数畸变而导致的波形拟合困难等问题,基于区域分解思路对传统能量法进行改进,将桩与土分别在独立坐标系下建模,克服桩土参数畸变问题;再结合零空间技术处理各类边界约束,克服了型函数构造中边界依赖问题,且大幅提高了计算效率。研究结果表明,相较于波数有限元法,该方法不仅同样准确、可靠,还具有效率优势。此外,土体弹性模量与排桩填充率是影响带隙的主要因素;相较于正方形布置的周期排桩,六边形布置时可以获得较高的起始频率、截止频率和带隙宽度。

     

    Abstract: Aiming at the problems such as complex structure of displacement function, high calculation cost, and difficulty in waveform fitting caused by the distortion of pile-soil parameters when the traditional energy method is used to solve the band gap of periodic row pile structures, the traditional energy method is improved based on the idea of regional decomposition, and the pile and the soil are modeled separately in independent coordinate systems to overcome the distortion of pile-soil parameters. Then the nullspace technology is used to deal with various boundary constraints, which overcomes the boundary dependency problem in type function construction and greatly improves the computational efficiency. The results show that compared with the wave number finite element method, the proposed method is accurate and reliable, and has efficiency advantages. In addition, the elastic modulus of soil and the filling ratio of row piles are the main factors affecting the band gap. Compared with the square periodic row piles, the hexagonal arrangement can obtain higher starting frequency, cut-off frequency and band gap width.

     

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