Limit-state analysis of parabolic arches subjected to inertial loading in different gravitational fields using a variational formulation
Limit-state analysis of parabolic arches subjected to inertial loading in different gravitational fields using a variational formulation
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使用变分公式对不同重力场中惯性载荷作用下的抛物线拱进行极限状态分析
DOI：
10.1016/j.engstruct.2020.111501
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发表时间：
2021
影响因子：
5.5
通讯作者：
Kampas G
中科院分区：
文献类型：
--
作者：
Kampas G
几千年来，拱门一直被用作耐用的结构，易于建造，依靠重力来保持其固有的稳定性。从那时起，许多研究人员和工程师研究了它们在重力或惯性载荷下的稳定性。目前，鉴于洞察号火星使命和雄心勃勃的阿尔忒弥斯计划到月球，很明显，很快就需要设计和建造第一个弹性外星结构和拱门代表了这种结构的理想选择。本文着重研究了低重力条件下不同夹角的抛物线拱在不同水平的等效惯性荷载作用下的稳定性。结果进行了对比研究的圆拱。更具体地说，这项调查采用变分原理，以确定即将发生的机制和数值方法的基础上的极限推力线的概念，以估计最小所需的厚度抛物线拱在给定的负载和在不同的重力场。该文件表明，虽然抛物线拱可以更有效地比他们的圆形对应的重力加载，这是不是不同的组合的惯性加载和拥抱角的情况下，相反的可能是真的。它强调了低重力条件对两种类型拱的最低厚度要求的主要影响，并考虑了潜在的额外填充物对辐射屏蔽的影响。此外，这项研究揭示了一个自相似的行为，引入了一个“通用”的惯性加载和展示，通过使用主曲线，抛物线拱比圆形拱更有效的领域和那些相反的是真的。这些区域可用于此类结构的初步设计。此外，该文件确定了隐藏的模式与开发的机制之间的两种不同的几何形状为不同的引力场。最后，它提出了一个案例研究，需要优化的外星结构的结构形式变得明显。
For thousands of years, arches have been used as durable structures that are easy to build and that rely on gravity for their inherent stability. Since then, many researchers and engineers have studied their stability either when subjected to gravity or inertial loading. Currently, given the Insight mission to Mars and the ambitious Artemis program to the Moon, it has become apparent that there will soon be the need to design and build the first resilient extraterrestrial structures and arches represent an ideal option for such structures. This paper focuses on the stability of parabolic arches with different embrace angles subjected to different levels of equivalent inertial loading in low-gravity conditions. The results are contrasted with the well-studied circular arches. More specifically, this investigation employs variational principles to identify the imminent mechanisms and numerical methods based on the limit thrust line concept in order to estimate the minimum required thickness of parabolic arches for a given loading and in different gravitational fields. The paper shows that although parabolic arches can be much more efficient than their circular counterparts for gravitational-only loading, this is not the case for different combinations of inertial loading and embrace angles where the opposite can be true. It highlights the dominant effect of low-gravity conditions on the minimum thickness requirements for both types of arches and considers the effect of a potential additional infill for radiation shielding. Furthermore, this study reveals a self-similar behaviour, introduces a “universal” inertial loading and showcases, through the use of master curves, the areas where the parabolic arches are more efficient than their circular counterparts and those where the opposite is true. These areas can be used for the preliminary design of such structures. Additionally, the paper identifies hidden patterns associated with the developed mechanisms between the two different geometries for the different gravitational fields. Finally, it presents a case study where the need to optimise the structural form of extraterrestrial structures becomes evident.
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影响因子：
2
作者：
M. Gohnert;R. Bradley
通讯作者：
R. Bradley
II. Davidis Gregorii M. D. Astronomi 教授 Saviliani 和 S. R. S. Catenaria。 D. Henricum Aldrich S. T. P. Decanum Ædis Christi Oxaniæ。
DOI：
10.1098/rstl.1695.0114
发表时间：
1998
期刊：
Philosophical Transactions of the Royal Society of London
影响因子：
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作者：
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通讯作者：
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影响因子：
3.4
作者：
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通讯作者：
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DOI：
--
发表时间：
2018
期刊：
影响因子：
--
作者：
O. Gáspár;A. Sipos;I. Sajtos
通讯作者：
I. Sajtos
影响因子：
3.5
作者：
Nicos A. Kalapodis;G. Kampas;Olga‐Joan Ktenidou
通讯作者：
Nicos A. Kalapodis;G. Kampas;Olga‐Joan Ktenidou