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引用次数: 0
摘要
离散元法(DEM)适用于研究发生大变形的问题,尤其是颗粒材料。由于 DEM 参数数量多、计算量大,如何拟合可靠的 DEM 参数至关重要,也是一项挑战。尽管存在缺点,但 DEM 参数校准通常采用试错法。了解 DEM 参数对模型响应的影响对于改进校准和检查实验是否适合校准特定参数十分必要。可以通过省略对模型响应影响极小的参数来降低优化问题的维度。一种方法是根据索布尔指数进行全局敏感性分析。文献中经常使用的校准实验是桩基实验。实验与模拟之间的偏差用倾角来评估。本文讨论了一种考虑到堆的三维形状来确定倾角的算法。针对两种不同的实验堆设置进行了全局敏感性分析。为了减少灵敏度分析的计算量,使用元模型对模型响应进行了近似,其可预测性使用基于单独采样点集的均方根误差(RMSE)进行评估。
On the sensitivity of DEM parameters on pile experiments
The discrete element method (DEM) is suitable to investigate problems where large deformations occur especially in granular material. The fitting of reliable DEM parameters is crucial and a challenge which is caused by the high number of DEM parameters and the computational effort. Despite its drawbacks, a trial and error approach is often used for the DEM parameter calibration. The knowledge of the DEM parameter influence on the model response is necessary to improve the calibration and to check whether the experiment is suitable to calibrate specific parameters or not. It is possible to reduce the dimensionality of the optimisation problem by omitting parameters whose influence on the model response is negligibly small. One approach is to perform a global sensitivity analysis based on Sobol’ indices. A frequently used calibration experiment in literature is the pile experiment. The deviation between the experiment and the simulation is evaluated with the angle of repose. In the present paper, an algorithm to determine the angle of repose considering the three-dimensional shape of the heap is discussed. The global sensitivity analysis is performed for two different experimental heap set-ups. To decrease the computational effort of the sensitivity analysis, the model response is approximated with metamodels whose predictability is evaluated using the root mean squared error (RMSE) based on a separate sampling point set.
期刊介绍:
GENERAL OBJECTIVES: Computational Particle Mechanics (CPM) is a quarterly journal with the goal of publishing full-length original articles addressing the modeling and simulation of systems involving particles and particle methods. The goal is to enhance communication among researchers in the applied sciences who use "particles'''' in one form or another in their research.
SPECIFIC OBJECTIVES: Particle-based materials and numerical methods have become wide-spread in the natural and applied sciences, engineering, biology. The term "particle methods/mechanics'''' has now come to imply several different things to researchers in the 21st century, including:
(a) Particles as a physical unit in granular media, particulate flows, plasmas, swarms, etc.,
(b) Particles representing material phases in continua at the meso-, micro-and nano-scale and
(c) Particles as a discretization unit in continua and discontinua in numerical methods such as
Discrete Element Methods (DEM), Particle Finite Element Methods (PFEM), Molecular Dynamics (MD), and Smoothed Particle Hydrodynamics (SPH), to name a few.