岩石动力学计算中的网格效应及机理研究

发布时间：2018-04-12 18:52

本文选题：兵器科学与技术 + 数值计算　；参考：《兵工学报》2016年10期

【摘要】：岩石动力学计算中,网格尺寸对数值计算结果的可靠性有重要影响。采用数值实验的方法,对岩石爆炸应力波传播数值计算中的网格尺寸效应及其敏感性机理进行了研究。研究结果表明:合适的网格尺寸要根据载荷特征和波传播介质的属性来决定;当一个载荷波长内的网格数达到16个以上时,计算得到的各物理量的波形和峰值基本趋于稳定;计算还给出了各物理量与网格密度的关系;随着爆心距的增加,物理量对网格尺寸的敏感性降低,其机理是载荷中的高频成分逐渐衰减、载荷的波长变大,模型所需的网格尺寸变大;时间步长系数对计算结果的影响也非常明显,当时间步长系数取0.05时,位移稳态值趋于收敛值。
[Abstract]:The mesh size has an important effect on the reliability of the numerical results in rock dynamics calculation.The mesh size effect and its sensitivity mechanism in numerical calculation of rock explosion stress wave propagation are studied by numerical experiments.The relationship between the physical quantities and the mesh density is also given, and the sensitivity of the physical quantities to the mesh size decreases with the increase of the distance between the detonation centers, the mechanism of which is that the high frequency components of the load gradually decrease and the wavelength of the load becomes larger.The mesh size needed by the model becomes larger and the influence of the time step coefficient on the calculation results is very obvious. When the time step coefficient is 0.05, the steady-state displacement value tends to converge.
【作者单位】：北京理工大学爆炸科学与技术国家重点实验室;西北核技术研究所;
【基金】：国家自然科学基金项目(91330205)
【分类号】：O383.1

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