饱和地基多排孔列近场主动隔振问题的半解析BEM并行优化算法分析
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TU435

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国家自然科学基金资助项目(52078469)


Vibration isolation of multi-row of holes as active barriers in saturated soil using semi-analytical BEM with parallel optimization algorithms
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    摘要:

    人工振动污染在国际上已被列入“七大环境公害”之一,多排孔列隔振是振动污染治理的一种方式。针对饱和地基中多 排孔列近场主动隔振问题,基于饱和土半解析边界元法(BEM),分别建立了动力机器基础的环境振动影响和多排孔列近场隔 振的边界元方程。为提高BEM计算效率,构建了饱和土半解析BEM的SPMD(单程序多数据)并行算法,同时利用孔列间在 空间上的对应关系提出了边界元影响系数矩阵快速生成的优化算法。在此基础上,深入研究了多排孔列的近场主动隔振效 果,分析了布孔方式、几何参数和多排孔距振源距离对其隔振效果的影响。结果表明:饱和土半解析BEM的SPMD并行算法 结合影响系数矩阵生成的优化算法可显著提升多排孔列隔振问题的计算效率。多排孔列的布孔方式对隔振效果基本无影响; 增加排孔孔数和孔径、降低孔间净距均能取得更好的隔振效果,而多排孔的排数和排间距对隔振效果影响相对不大;随着多排 孔距振源距离增加,多排孔隔振效果先提高后趋于稳定。在实际工程设计时,建议多排孔排数宜为两排,排孔孔径取0.15λR (λR 为Rayleigh波波长)、孔深取λR 、孔间净距取0.1λR ,单排孔数宜根据所需屏蔽区域的面积合理确定。

    Abstract:

    In modern daily life, people are often exposed to many types of vibrations generated by machine operations, traffic and other human activities. These vibrations can cause annoyance to residents, and even interfere the operations of precision instru? ments. Generally, these adverse effects of vibrations can be eliminated or prevented by installation of various types of wave barri? ers, such as multi-row of holes. In the paper, the investigation is focused on effects of using multi-row of holes for the reduction of nearby vibration response generated by dynamic machine foundation laid on saturated soil. Two semi-analytical BEM models are es? tablished to calculate the environmental vibrations due to the machine foundation and the vibration isolation efficiency by multi-row of holes, respectively. In order to increase calculating efficiency of the semi-analytical BEM, a simple SPMD parallel algorithm is developed using Matlab software. The SPMD parallel algorithm is optimized by using the corresponding relationship between holes on the spatial coordinates. By using the optimized SPMD parallel algorithm, the effects of the model parameters on effectiveness of vibration isolation are calculated and discussed in detail. The results show that the optimized SPMD parallel algorithm of semi-ana? lytical BEM is much faster than the chained program dramatically. Multi-row of holes can isolate the ground vibrations successful? ly, and the holes layout has less effect on the screening efficiency. Increasing the radius and the number of holes in a row, decreas? ing the net spacing between two successive holes can all lead to an increase in the screening effectiveness, while the rows of holes and the net spacing between two successive rows have less effect on the screening effectiveness. Further, the distance between the rigid foundation and wave barriers can has a limited impact on vibration mitigation effectiveness. According to the results, it’s sug? gested in the design that two-row of holes is recommended and the hole depth, radius and the nest spacing between two successive holes should take the values of 1.0, 0.15 and 0.1, respectively.

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时 刚,张 浩,郜新军.饱和地基多排孔列近场主动隔振问题的半解析BEM并行优化算法分析[J].振动工程学报,2025,38(1):054~067.[SHI Gang, ZHANG Hao, GAO Xinjun. Vibration isolation of multi-row of holes as active barriers in saturated soil using semi-analytical BEM with parallel optimization algorithms[J]. Journal of Vibration Engineering,2025,38(1):054~067.]

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  • 在线发布日期: 2025-02-09
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