Abstract—

Nowadays, many objects are exposed to the risks of seismic activity, either of a natural character during earthquakes or due to man-made hazards. For example, the zone of increased seismic activity includes the eastern regions of Russia located in the zone of the so-called Ring of Fire, the coastal zone of the continents of Eurasia, North America, South America, and Australia, as well as the islands surrounding the Pacific Ocean. Taking into account the development of high-performance computing systems, the investigations into the possibilities of using more precise methods for calculating the seismic resistance of structures to natural and man-made impacts is an urgent fundamental scientific problem, which this study aims to address. The relevant calculations are performed by the grid-characteristic method. Thereby wave fields of the velocity vector and the Cauchy stress tensor were computed. The failure areas of multistory concrete buildings are calculated using the destruction criterion of the main stress. The destroyed areas are subsequently considered as free boundaries within the integration domain. In this study various types of specifications of the initial seismic impact are considered. They are also compared in terms of their impact on the localization of failure areas and the consumption of computing resources. A comparison of the localization of the calculated failure areas of multistory buildings with a decrease in the coordinate step of the computational grid and the time integration step is also performed. We also analyze the dependence of the localization of the calculated failure areas contingent upon the type of specified seismic impact, the type of seismic wave, and the number of floors in the building. The data on the consumption of computational resources for various formulations of problems, including random access memory, hard disk memory, and computation time, are presented.

中文翻译：

---

用网格特征法计算多层建筑物的破坏

摘要-

如今，许多物体都可能遭受地震活动的危险，这些危险既可能是地震过程中的自然特征，也可能是人为的危险。例如，地震活动增加的区域包括位于所谓“火环”区域的俄罗斯东部地区，欧亚大陆，北美，南美和澳大利亚大陆的沿海地区，以及太平洋周围的岛屿。考虑到高性能计算系统的发展，研究使用更精确的方法来计算结构对自然和人为冲击的抗震性的可能性是一个迫在眉睫的基本科学问题，本研究旨在解决这一问题。有关计算是通过网格特征方法执行的。从而计算出速度矢量和柯西应力张量的波场。多层混凝土建筑物的破坏面积是根据主应力的破坏准则来计算的。随后将被破坏的区域视为集成域内的自由边界。在这项研究中，考虑了各种类型的初始地震影响规范。还比较了它们对故障区域的本地化和计算资源的消耗的影响。还对计算出的多层建筑物的失效区域的定位与计算网格的坐标步长和时间积分步长的减少进行了比较。我们还分析了指定失效影响的类型，指定地震影响的类型，地震波的类型以及建筑物中的楼层数的依赖性。给出了有关各种形式问题的计算资源消耗的数据，包括随机存取存储器，硬盘存储器和计算时间。