Knak Magdalena, Nitka Michał, Wojtczak Erwin, Rucka Magdalena
Department of Mechanics of Materials and Structures, Faculty of Civil and Environmental Engineering, Gdansk University of Technology, Narutowicza 11/12, 80-233 Gdansk, Poland.
Department of Buildings Structures and Material Engineering, Faculty of Civil and Environmental Engineering, Gdansk University of Technology, Narutowicza 11/12, 80-233 Gdansk, Poland.
Materials (Basel). 2022 Apr 8;15(8):2738. doi: 10.3390/ma15082738.
The paper deals with the issue of modelling elastic wave propagation using the discrete element method (DEM). The case of a longitudinal wave in a rod with a circular cross-section was considered. A novel, complex algorithm consisting of the preparation of models and simulation of elastic waves was developed. A series of DEM models were prepared for simulations, differing in discretisation and material parameters. Additional calculations with the finite element method (FEM) were performed. Numerical wave signals were obtained from each simulation and compared with experimental results to choose the best DEM model based on the correlation between the waveforms. Moreover, dispersion curves were prepared for each model to verify the agreement with the Pochhammer-Chree wave propagation theory. Both experimental and theoretical approaches indicated the same model as the most suitable. The analysis results allowed stating that DEM can be successfully used for modelling wave propagation in structural rods.
本文探讨了使用离散元法（DEM）对弹性波传播进行建模的问题。考虑了圆形横截面杆中纵波的情况。开发了一种由模型准备和弹性波模拟组成的新颖、复杂的算法。为模拟准备了一系列离散化和材料参数不同的DEM模型。还使用有限元法（FEM）进行了额外的计算。从每次模拟中获得数值波信号，并与实验结果进行比较，以根据波形之间的相关性选择最佳的DEM模型。此外，为每个模型绘制了频散曲线，以验证与Pochhammer-Chree波传播理论的一致性。实验和理论方法都表明同一个模型是最合适的。分析结果表明，DEM可以成功地用于对结构杆中的波传播进行建模。
