The Melan equation for suspension bridges is derived by assuming small displacements of the deck and inextensible hangers. We determine the thresholds for the validity of the Melan equation when the hangers slacken, thereby violating the inextensibility assumption. To this end, we preliminarily study the possible shortening of the cables: it turns out that there is a striking difference between even and odd vibrating modes since the former never shorten the cables. These problems are studied both on beams and plates.

Thresholds for hanger slackening and cable shortening in the Melan equation for suspension bridges

Gazzola, Filippo;Sperone, Gianmarco
2018

Abstract

The Melan equation for suspension bridges is derived by assuming small displacements of the deck and inextensible hangers. We determine the thresholds for the validity of the Melan equation when the hangers slacken, thereby violating the inextensibility assumption. To this end, we preliminarily study the possible shortening of the cables: it turns out that there is a striking difference between even and odd vibrating modes since the former never shorten the cables. These problems are studied both on beams and plates.
Beams and plates; Melan equation; Slackening of the hangers; Suspension bridges; Analysis; Medicine (all); Engineering (all); Economics, Econometrics and Finance (all)2001 Economics, Econometrics and Finance (miscellaneous); Computational Mathematics; Applied Mathematics
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1041963
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