对塔科马大桥倒塌进行了新的详细解释，并提出了提高悬索桥稳定性的一些优化问题

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.3934/mine.2023045

F. Gazzola, M. Jleli, B. Samet

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引用次数: 1

摘要

我们对1940年11月7日发生的塔科马海峡大桥坍塌给出了一个新的完整的解释。我们的解释涉及结构现象，如参数共振，和复杂的数学工具，如Floquet理论。与之前的所有尝试相反，我们的解释在质量和数量上都与那天所观察到的完全吻合。有了这个解释，我们建立并部分解决了一些最优控制和形状优化问题(包括解析和数值)，旨在提高桥梁的稳定性。要优化的控制参数是部分阻尼项的强度，其作用是降低甲板内的能量。形状优化旨在为未来桥梁的设计提供建议。

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A new detailed explanation of the Tacoma collapse and some optimization problems to improve the stability of suspension bridges

We give a new full explanation of the Tacoma Narrows Bridge collapse, occurred on November 7, 1940. Our explanation involves both structural phenomena, such as parametric resonances, and sophisticated mathematical tools, such as the Floquet theory. Contrary to all previous attempts, our explanation perfectly fits, both qualitatively and quantitatively, with what was observed that day. With this explanation at hand, we set up and partially solve some optimal control and shape optimization problems (both analytically and numerically) aiming to improve the stability of bridges. The control parameter to be optimized is the strength of a partial damping term whose role is to decrease the energy within the deck. Shape optimization intends to give suggestions for the design of future bridges.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.