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Algorithm for generation of 3D polyhedrons for simulation of rock particles by DEM and its application to tunneling in boulder-soil matrix

机译:DEM岩粒子模拟3D多面体生成算法及其在巨石土基质中隧穿的应用

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摘要

The shape of rock particle can profoundly affect its mechanical behaviors due to the interlocking force associated with morphological features. In this study, a hybrid extension method encompassing both convexity control and overlap detection was developed to generate three-dimensional (3D) polyhedrons for simulating irregularly shaped rock particles by discrete-element-method (DEM). Based on a random initial tetrahedron, a polyhedron can be extended from a simple shape to a complex one by adding new tetrahedrons. To control polyhedron convexity, a two-step method derived from the definition of convexity was proposed in this study. Moreover, the enhanced Gilbert-Johnson-Keerthi (GJK) algorithm was applied for overlap detection during the extension process of polyhedron generation. With the proposed hybrid extension method (HEM), a numerical model for simulation of tunnelling in boulder-soil matrix was built in the commercial DEM software; then, extensive parametric studies were performed to explore the influence of several factors (boulder size, orientation, position, and morphology) on tunnelling. The simulation results demonstrate the efficiency and reliability of the proposed algorithm and revealed the ground movement patterns in case an undetected large boulder was accidently encountered by tunnelling at shallow depth.
机译:由于与形态学特征相关的互锁力,岩石颗粒的形状可能会产生深刻的影响其机械行为。在该研究中,开发了一种包含凸起控制和重叠检测的混合延伸方法,以产生用于通过离散元素方法(DEM)模拟不规则形状的岩石颗粒的三维(3D)多面体。基于随机初始四面体,通过添加新的四边体,可以将多面体从简单的形状延伸到复杂的形状。为了控制多面体凸性,在本研究中提出了一种衍生自凸性定义的两步方法。此外,在多面体生成的扩展过程中应用增强的Gilbert-Johnson-Keerthi(GJK)算法应用于重叠检测。利用所提出的混合延长方法(HEM),在商业DEM软件中建立了巨石土矩阵隧道隧道仿真数值模型;然后,进行广泛的参数研究以探讨若干因素(巨石大小,方向,位置和形态学)对隧道的影响。仿真结果证明了所提出的算法的效率和可靠性,并揭示了在浅深度下隧道隧道意外地遇到未检测到的大巨石的地面运动模式。

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