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矩形、圆形和椭圆形中空玻璃组件中的挠度与应力

Deflections and Stresses in Rectangular, Circular and Elliptical Insulating Glass Units.

作者信息

Respondek Zbigniew, Kozłowski Marcin, Wiśniowski Maciej

机构信息

Faculty of Civil Engineering, Czestochowa University of Technology, Dąbrowskiego 69, 42-201 Częstochowa, Poland.

Department of Structural Engineering, Faculty of Civil Engineering, Silesian University of Technology, Akademicka 5, 44-100 Gliwice, Poland.

出版信息

Materials (Basel). 2022 Mar 25;15(7):2427. doi: 10.3390/ma15072427.

DOI:10.3390/ma15072427
PMID:35407763
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8999538/
Abstract

Insulating glass units (IGUs) are construction elements that react to climatic loads in a specific way. Under the influence of changes in atmospheric pressure and temperature, as well as the effect of wind, the gas closed in the tight gap between the glass panes changes its pressure, which affects the resulting static quantities of the loaded IGUs. The calculation models described in the literature mostly concern rectangular units, however, other shapes are being implemented more and more often in modern architecture. The aim of the article was to propose analytical and numerical models of circular and elliptical IGUs and to compare their results in terms of deflections and stresses with static values for square and rectangular units. Calculation examples were presented for various dimensions of IGUs loaded with changes in atmospheric pressure and an external wind effect. For elliptical IGUs, only the numerical calculations were presented, as it is not possible to formulate an applicable deflection function practically. The results were summarized in the form of tables and graphs, which illustrate the percentage differences between the deflection and stress values for the rectilinear and curvilinear shapes of IGUs for various dimensions and types of loads. It was found that in a single circular glass pane the maximum deflection is 4.2% greater, and the maximum stress is 13% greater than in a square unit of the same dimension. Meanwhile, in a circular, symmetrically loaded double-glazed IGU, the deflection in the circular IGU is smaller by 8-9% than in the square unit and the stress is practically identical.

摘要

中空玻璃组件(IGUs)是对气候负荷有特定反应的建筑构件。在大气压力和温度变化以及风的影响下,封闭在玻璃板之间狭窄间隙中的气体压力会发生变化,这会影响所加载中空玻璃组件的静力学量。文献中描述的计算模型大多涉及矩形组件,然而,现代建筑中越来越多地采用其他形状。本文的目的是提出圆形和椭圆形中空玻璃组件的解析模型和数值模型,并将它们在挠度和应力方面的结果与方形和矩形组件的静态值进行比较。给出了在大气压力变化和外部风作用下不同尺寸中空玻璃组件的计算示例。对于椭圆形中空玻璃组件,仅给出了数值计算结果,因为实际上无法制定适用的挠度函数。结果以表格和图表的形式汇总,这些图表说明了不同尺寸和载荷类型的中空玻璃组件直线形和曲线形在挠度和应力值之间的百分比差异。结果发现,在单个圆形玻璃板中,最大挠度比相同尺寸的方形组件大4.2%,最大应力大13%。同时,在圆形、对称加载的双层中空玻璃组件中,圆形中空玻璃组件的挠度比方形组件小8 - 9%,应力实际上相同。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ce2f/8999538/b8def43bf41c/materials-15-02427-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ce2f/8999538/70f398e4c2fe/materials-15-02427-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ce2f/8999538/67b7b84ab16c/materials-15-02427-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ce2f/8999538/c82bde217427/materials-15-02427-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ce2f/8999538/e7c1b866aa21/materials-15-02427-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ce2f/8999538/dba6033bef25/materials-15-02427-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ce2f/8999538/0c82969dbc21/materials-15-02427-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ce2f/8999538/1002c3025bdd/materials-15-02427-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ce2f/8999538/ff5c96ecb0c7/materials-15-02427-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ce2f/8999538/b8def43bf41c/materials-15-02427-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ce2f/8999538/70f398e4c2fe/materials-15-02427-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ce2f/8999538/67b7b84ab16c/materials-15-02427-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ce2f/8999538/c82bde217427/materials-15-02427-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ce2f/8999538/e7c1b866aa21/materials-15-02427-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ce2f/8999538/dba6033bef25/materials-15-02427-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ce2f/8999538/0c82969dbc21/materials-15-02427-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ce2f/8999538/1002c3025bdd/materials-15-02427-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ce2f/8999538/ff5c96ecb0c7/materials-15-02427-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ce2f/8999538/b8def43bf41c/materials-15-02427-g009.jpg

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本文引用的文献

1
Study on the mechanical response of anticlastic cold bending insulating glass and its coupling effect with uniform load.抗凹型冷弯绝热玻璃力学响应及其与均布荷载耦合效应研究。
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2
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