首页> 外文期刊>Mathematics and computers in simulation >Shape characterization methods of irregular cavity using Fourier analysis in tunnel
【24h】

Shape characterization methods of irregular cavity using Fourier analysis in tunnel

机译:隧道傅立叶分析使用傅立叶分析形状特征方法

获取原文
获取原文并翻译 | 示例

摘要

The erosion of soluble rock and transformation of groundwater result in the high geometrical irregularity of cavities in nature. The purpose of this paper is to quantitatively describe the shape of irregular cavities using Fourier transform analysis. Firstly, multi-level characterization indexes of the 2D section of cavities have been proposed, considering the high shape irregularity of cavities. The first level indexes include Shape Factor (SF), Aspect Ratio (AR) and Sphere Like (SL). The second level indexes consist of Angularity Factor (AF) and Convexity Factor (CF). The third level indexes are Roundness Factor (RF). Then, the geometric contour of cavity was transformed into a 2D waveform, with an equal-angle points sampling of the cavity boundary. The geometric boundary of irregular cavity was segmented and transformed from discrete time domain to frequency domain based on discrete Fourier transform (DFT). Furthermore, we proposed Fourier shape descriptor, which was found to control the cavity shape. The relationship between Fourier shape descriptors in different sequences and multi-level characterization indexes was determined using designed and irregular nature cavities as sample data. The results demonstrated that the Fourier shape descriptors D_2, D_3 and D_8 mainly control multi-level characterization indexes including the overall shape, the irregularity and the roughness of the cavity boundary, respectively. Finally, the 3D characterization method of cavity shape was further proposed based on averaging the 2D sections, which hence offers a possible way to further quantitatively study the mechanical properties of surrounding rockmass effected by the irregular shape of cavities.
机译:可溶性岩石的侵蚀和地下水的转化导致性质的高几何不规则性。本文的目的是使用傅里叶变换分析定量地描述不规则腔的形状。首先,考虑到腔的高形状不规则性,已经提出了腔的2D段的多级表征指数。第一级索引包括形状因子(SF),纵横比(AR)和球体(SL)。第二级指标由角度因子(AF)和凸起因子(CF)组成。第三级索引是圆度因子(RF)。然后,将空腔的几何轮廓变换为2D波形,具有腔边界的相等角度点采样。基于离散的傅里叶变换(DFT),将不规则腔的几何边界从离散时域分段并转换为频域。此外,我们提出了傅立叶形状描述符,该描述是控制腔形状。使用设计和不规则的自然腔作为样本数据确定不同序列和多级表征索引中的傅立叶形状描述符的关系。结果表明,傅里叶形状描述符D_2,D_3和D_8主要控制包括整体形状,腔边界的整体形状,不规则性和粗糙度的多级表征指标。最后,基于平均2D部分进一步提出了腔形状的3D表征方法,因此提供了一种可以进一步定量地研究通过不规则形状的腔体实现的周围岩体的机械性能的可能方法。

著录项

  • 来源
    《Mathematics and computers in simulation》 |2021年第9期|191-214|共24页
  • 作者单位

    Shandong Provincial Key Laboratory of Civil Engineering Disaster Prevention and Mitigation Shandong University of Science and Technology Qingdao 266590 Shandong China;

    Shandong Provincial Key Laboratory of Civil Engineering Disaster Prevention and Mitigation Shandong University of Science and Technology Qingdao 266590 Shandong China;

    Shandong Provincial Key Laboratory of Civil Engineering Disaster Prevention and Mitigation Shandong University of Science and Technology Qingdao 266590 Shandong China;

    Shandong Provincial Key Laboratory of Civil Engineering Disaster Prevention and Mitigation Shandong University of Science and Technology Qingdao 266590 Shandong China;

    Shandong Provincial Key Laboratory of Civil Engineering Disaster Prevention and Mitigation Shandong University of Science and Technology Qingdao 266590 Shandong China;

    Research Institute of New Material and Intelligent Equipment Shandong University Dezhou China;

    Structural Health Monitoring and Control Institute Shijiazhuang Tiedao University Shijiazhuang China;

  • 收录信息
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Irregular cavity; Shape characterization; Fourier shape descriptors; Multi-level indexes;

    机译:不规则的腔;形状;傅里叶形状描述符;多级索引;

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号