›› 2017, Vol. 38 ›› Issue (12): 3698-3706.doi: 10.16285/j.rsm.2017.12.038

• 数值分析 • 上一篇    

基于凹体凸化的全空间块体识别方法

张敏思1, 2,杨 勇1, 2,梁海安2   

  1. 1. 东华理工大学 江西省数字国土重点实验室,江西 南昌 330013;2. 东华理工大学 建筑工程学院,江西 南昌 330013
  • 收稿日期:2017-02-15 出版日期:2017-12-11 发布日期:2018-06-05
  • 通讯作者: 杨勇,男,1986年生,硕士,工程师,主要从事非连续岩体力学方面的研究工作。E-mail: yangyongneu@163.com E-mail:mscccathy@163.com
  • 作者简介:张敏思,女,1985年生,博士,讲师,主要从事非连续岩体力学方面的研究工作
  • 基金资助:

    江西省自然科学基金资助项目(No.20161BAB216144,No.20171BAB203030);江西省教育厅科学技术研究项目(No.GJJ150578);江西省科技支撑计划重点项目(No.20151BBG70004);江西省数字国土重点实验室开放基金(No.DLLJ201607)。

Spatial block identification method based on convex decomposition of concave polyhedron

ZHANG Min-si1, 2, YANG Yong1, 2, LIANG Hai-an2   

  1. 1. Key Laboratory for Digital Land and Resources of Jiangxi Province,East China University of Technology, Nanchang, Jiangxi 330013, China; 2. School of Civil and Architectural Engineering, East China University of Technology, Nanchang, Jiangxi 330013, China
  • Received:2017-02-15 Online:2017-12-11 Published:2018-06-05
  • Supported by:

    This work was supported by the Natural Science Foundation of Jiangxi Province (20161BAB216144,20171BAB203030), the Science and Technology Research Projects of Jiangxi Province Education Department (GJJ150578), the Science and Technology Support Program Project of Jiangxi Province (20151BBG70004) and the Key Laboratory for Digital Land and Resources of Jiangxi Province (DLLJ201607).

摘要: 采用结构面切割多面体再合并的方法可以实现有限结构面间的块体识别,但切割的对象必须为凸体,而实际工程中的岩体模型并不局限于凸体。为了解决这一问题,提出一种凹体凸化方法,用于将凹体模型分解为凸体子区。首先,通过面单元法建立岩体模型,并设置可包裹模型的长方体;其次,以平面对凸多面体的切割算法为基础,利用面单元所在平面将所设置的长方体切割为若干子区;最后,通过判断子区与原模型的位置关系而实现凸化,并对凸化过程中的关键算法进行说明。针对切割过程中结构面与多面体的接触性判断问题,给出了从粗略到精确的判断方法,有效地减少了计算量。结合两个具有代表性的算例,给出所提块体识别方法的过程和结果,结果显示,所识别出的块体形态及数量不受限制,从而证明了本方法用于凹体模型的适用性与有效性。

关键词: 块体识别, 岩体模型, 凹体凸化, 有限结构面

Abstract: The identification of blocks cut by finite discontinues could be realised by which polyhedrons are cut by discontinues and then merged. Although the object of cutting arithmetic is a convex polyhedron, rock mass model in practical engineering is not limited to the convex polyhedron. To solve this issue, the method of convex decomposition was proposed to decompose concave polyhedron model into convex sub-regions. Firstly, rock mass model was established by the surface element method and then a cuboid was set to wrap the rock mass model. Secondly, the cuboid was cut into some sub-regions by all surface element planes based on the algorithm of a plane cutting convex polyhedron. Finally, the convex decomposition of rock mass model was obtained by judging space position relations between sub-regions and the model. The explanation of key algorithms was given as well. In the cutting algorithms, the rough and accurate judgment method was successively presented to determine space position relations between discontinues and blocks. The efficiency of the computation complexity was greatly improved. Two typical examples were conducted to achieve the process and result of this identification method. The results show that the form and number of identified blocks are not limited by this method, which proves its applicability and efficiency of the concave polyhedron model.

Key words: block identification, rock mass model, convex decomposition of concave polyhedron, finite discontinues

中图分类号: 

  • TU 451

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