论文标题

人类塔楼或卡斯特尔建模。第158欧洲研究小组(长报告)

Human towers or castells modelling. 158th European Study Groups with Industry (long report)

论文作者

Antunes, J., Planella, F. Brosa, Dòria-Cerezo, A., José, A. March San, Pellicer, M., Rodríguez-Ferran, A., Saludes, J.

论文摘要

人类塔楼或卡斯特尔是主要在加泰罗尼亚的节日中演奏的人类结构。这些独特的文化和传统展示在过去几年中变得非常流行,但它们始于十七世纪。 2010年,他们成为联合国教科文组织无形文化遗产的代表名单的一部分。 安全对于Castell的性能非常重要。为此,了解允许构建Castell的机制至关重要,更重要的是,可能导致其崩溃的因素。这项工作的重点是使PILAR(Castells中最简单的结构)站立的机械方面。我们建议使用三种不同但互补的方法来用于PILAR的运行阶段(构建且尚未崩溃的阶段):$ n $ link pendulum作为第一个动力学模型,Castellers作为控制问题的响应,以及用于捕获给定配置的可行性的静态分析。我们包括一些初步模拟,以更好地理解先前的方法,这些方法似乎与卡斯特尔对卡斯特尔的定性看法相吻合。还讨论了可能的未来发展。据我们所知,这项工作代表了第一个从机械角度研究Castell的工作。

Human towers or castells are human structures played in festivals mainly in Catalonia. These unique cultural and traditional displays have become very popular in the last years, but they date from the XVIII century. On 2010 they became part of the Unesco Representative List of the Intangible Cultural Heritage of Humanity. Safety is very important in the performance of castells. To this end, it is crucial to understand the mechanisms that allow a castell to be built and, more importantly, the factors that may cause its collapse. This work is focused on the mechanical aspects that make a pilar (the simplest structure in the castells) to stand. We suggest three different but complementary approaches for the running stage of a pilar (stage where it has been built and has not yet collapsed): the $N$-link pendulum as a first dynamical model, the response of the castellers as a control problem, and a static analysis to capture the feasibility of a given configuration. We include some preliminary simulations to better understand the previous approaches, which seem to match with qualitative perceptions that castellers have of a castell. Possible future developments are also discussed. To our knowledge, this work represents the first one to study the castells from a mechanical point of view.

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