STABILITY OF A SUSPENSION BRIDGE WITH A LOCALIZED STRUCTURAL DAMPING

ZAYD HAJJEJ; MOHAMMAD AL-GHARABLI; SALIM MESSAOUDI

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STABILITY OF A SUSPENSION BRIDGE WITH A LOCALIZED STRUCTURAL DAMPING

机译：STABILITY OF A SUSPENSION BRIDGE WITH A LOCALIZED STRUCTURAL DAMPING

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Strong vibrations can cause lots of damage to structures and breakmaterials apart. The main reason for the Tacoma Narrows Bridge collapse wasthe sudden transition from longitudinal to torsional oscillations caused by aresonance phenomenon. There exist evidences that several other bridges col-lapsed for the same reason. To overcome unwanted vibrations and preventstructures from resonating during earthquakes, winds,..., features and modi-fications such as dampers are used to stabilize these bridges. In this work,we use a minimum amount of dissipation to establish exponential decay- rateestimates to the following nonlocal evolution equation u_(tt)(x; y; t) +Δ~2u(x; y; t)-φ (u)u_(xx) - (α(x; y)u_(xt)(x; y; t))_x = 0,which models the deformation of the deck of either a footbridge or a suspensionbridge.

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来源
《Discrete and continuous dynamical systems, Series S》 |2022年第5期|1165-1181|共17页
作者
ZAYD HAJJEJ; MOHAMMAD AL-GHARABLI; SALIM MESSAOUDI;
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作者单位

Department of Mathematics, University of Gabes, GabesTunisia;

Department of Mathematics, College of Sciences,University of Sharjah, P.O.Box 27272, Sharjah, UAE;

The Preparatory Year Program andThe Interdisciplinary Research Center in Construction and Building MaterialsKing Fahd University of Petroleum and Minerals, Dhahran, KSA;

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正文语种英语
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Suspension bridge; exponential decay; localized structural damping;

STABILITY OF A SUSPENSION BRIDGE WITH A LOCALIZED STRUCTURAL DAMPING

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