Seismic Stability Analysis of Inca Earthen Walls

A. Torres, M. Blondet, S. Cruz
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Abstract

. In many places around the world there still exist statues, walls and columns which, despite being located in areas of high seismicity, are still standing and in good conditions after several hundred years. Although Peru is located on a zone of high seismicity, some preColumbian walls are still standing after having withstood many intense earthquakes. The remarkably stable dynamic response of these structures when rocking freely due to horizontal ground motions has been extensively studied [1] [2]. The aim of the project presented in this article is to evaluate the probability of seismic overturning of Inca monuments (XVth century CE) during future strong earthquakes. The Wiracocha temple walls located near Cusco and the Inca trail walls that cross the PUCP campus in Lima were selected for this study. Both earthen walls were modelled as free-standing rigid blocks which could rotate around the corners at their base. A set of synthetic ground acceleration signals were then generated according to the seismicity and ground conditions of both sites. The artificial ground acceleration records were scaled to the uniform hazard spectrum of Peru for return periods of 500, 1000 and 2500 years and different moment magnitudes [3] [4]. The rocking time history response of each wall due to these ground motions was then numerically computed and plotted in order to assess the seismic risk due to overturning of these important earthen monuments. T he main conclusion is that these walls will most probably remain standing for many more centuries.
印加土墙地震稳定性分析
. 在世界上许多地方,仍然存在着雕像、墙壁和柱子,尽管它们位于地震高发地区,但经过几百年的发展,它们仍然屹立在那里,状况良好。虽然秘鲁位于地震高发地带,但在经历了多次强烈地震之后,一些前哥伦布时期的城墙仍然屹立不倒。这些结构在水平地震动下自由摇摆时的非常稳定的动力响应已经得到了广泛的研究[1][2]。本文提出的项目目的是评估未来强震期间印加古迹(公元15世纪)发生地震倾覆的可能性。位于库斯科附近的Wiracocha寺庙墙壁和穿过利马PUCP校园的印加小径墙壁被选为这项研究的对象。两堵土墙的模型都是独立的刚性砌块,可以在基座的拐角处旋转。然后根据两个地点的地震活动性和地面条件生成一组合成的地面加速度信号。人工地面加速度记录按秘鲁500年、1000年和2500年的回归周期和不同矩震级的统一危险谱进行缩放[3][4]。然后对这些地面运动引起的每堵墙的摇晃时程响应进行了数值计算和绘制,以评估这些重要的土质纪念碑倾覆造成的地震风险。主要的结论是,这些城墙很可能还会矗立好几个世纪。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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