摘要
针对任意四边形网格模型,提出了双重网格动态应力差分法,结合Green公式,导出了在双重网格下基于应力为基本量的差分公式。然后考虑积分沙漏、静态阻尼的情况,使用VB.NET语言编写了动态应力差分法的底层函数,最后编写了相应的应力有限差分法DMFD程序。利用DMFD程序模拟了有限长岩柱中纵波的传播规律,得到了和理论解十分相符的结果,证明了该算法及DMFD程序的有效性。最后使用DMFD程序模拟了牛头山水电站的现场爆破实验,其结果与现场爆破实验结果相吻合,比UDEC的模拟结果更接近现场测试结果。
By applying arbitrary quadrilateral cells, a double meshed stress finite difference method was proposed. By using Green's formula, the difference equations for a double meshed finite difference method were obtained, and then considering the integral hourglass damping and static damping, the basic function of stress wave propagation was programmed by using VB.NET program language and a code DMFD was developed. By using DMFD code, the propagation of P-waves along finite-length rock pillars was simulated, and the numerical results agree very well with the theoretical results. This indicates that the double meshed finite difference method as well as the DMFD code are effective. Finally, the blasting in Niutoushan hydropower station was simulated by using the DMFD code, and the numerical results generally agree with the experimental results. Compared to the UDEC simulation results, it can be seen that the simulation by DMFD code is more precise than that by UDEC code.
出处
《工程力学》
EI
CSCD
北大核心
2015年第1期104-110,共7页
Engineering Mechanics
基金
国家973项目(2010CB732005)
国家自然科学基金项目(51074109)
四川省科技计划项目(2014JY0002)
油气藏地质及开发工程国家重点实验室项目(PLN1202)
关键词
双重网格
差分法
动态模拟
应力波
四边形单元
double mesh
finite difference method
dynamic simulation
stress wave
quadrilateral element
