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首页> 外文会议>International conference on structural analysis of historic constructions >Analytical and Numerical Analysis on the Collapse Mode of Circular Masonry Arches
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Analytical and Numerical Analysis on the Collapse Mode of Circular Masonry Arches

机译：圆形砌体拱拱倒塌模式的分析与数值分析

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摘要

In this paper, an analytical and numerical analysis on the collapse mode of circular masonry arches is presented. Specific reference is made to the so-called Couplet-Heyman problem of finding the minimum thickness necessary for equilibrium of a masonry arch subjected to its own weight (Heyman 1977). The note reports the results of an on-going research project at the University of Bergamo. First, analytical solutions are derived in the spirit of limit analysis, according to the classical three Heyman hypotheses and explicitly obtained in terms of the unknown angular position of the intrados hinge at the haunch, the minimum thickness to radius ratio and the non-dimensional horizontal thrust (Colasante 2007, Cocchetti et al. 2010). Results are then compared to Heyman solution. Though only the first of these three characteristics is perceptibly influenced in engineering terms, especially at increasing opening angle of the arch, the treatment settles an important conceptual difference on the use of the true line of thrust, along the line of Milankovitch work. Second, numerical simulations by the Discrete Element Method (DEM) in a Discontinuous Deformation Analysis (DDA) computational environment are provided, to further support the validity of the obtained solutions, with good overall matching of the obtained results (Rusconi 2008, Rizzi et al. 2010).
机译：本文对圆形砌体拱的倒塌模式进行了分析和数值分析。具体参考所谓的联轴节-海曼（Couplet-Heyman）问题，即寻找平衡砌体拱使其自身重量所需的最小厚度（Heyman 1977）。该说明报告了贝加莫大学正在进行的研究项目的结果。首先，根据经典的三个Heyman假设，本着极限分析的精神推导了解析解，并根据吊舱内的内铰链的未知角位置，最小厚度与半径之比和无量纲水平方向明确获得了解析解推力（Colasante 2007，Cocchetti et al.2010）。然后将结果与海曼解决方案进行比较。尽管这三个特征中只有第一个在工程上受到了明显的影响，特别是在增加拱的张开角度时，但是这种处理在沿米兰科维奇工作原理的真实推力线的使用上解决了一个重要的概念差异。其次，提供了在不连续变形分析（DDA）计算环境中通过离散元方法（DEM）进行的数值模拟，以进一步支持所获得解决方案的有效性，并对所获得的结果进行良好的整体匹配（Rusconi 2008，Rizzi等人（2010年）。

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