A new detailed explanation of the Tacoma collapse and some optimization problems to improve the stability of suspension bridges-Reference-Cited by-同舟云学术

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

Published:2022 Issue:2 Volume:5 Page:1-35
ISSN:2640-3501
Container-title:Mathematics in Engineering
language:
Short-container-title:MINE

Author:

Gazzola Filippo¹,Jleli Mohamed²,Samet Bessem²

Affiliation:

1. Dipartimento di Matematica del Politecnico, Piazza L. da Vinci 32 - 20133 Milano, Italy

2. Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Mathematical Physics,Analysis

Reference107 articles.

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