A new model for suspension bridges involving the convexification of the cables
arXiv:1810.02853 · doi:10.1007/s00033-020-01316-6
Abstract
The final purpose of this paper is to show that, by inserting a convexity constraint on the cables of a suspension bridge, the torsional instability of the deck appears at lower energy thresholds. Since this constraint is suggested by the behavior of real cables, this model appears more reliable than the classical ones. Moreover, it has the advantage to reduce to two the number of degrees of freedom (DOF), avoiding to introduce the slackening mechanism of the hangers. The drawback is that the resulting energy functional is extremely complicated, involving the convexification of unknown functions. This paper is divided in two main parts. The first part is devoted to the study of these functionals, through classical methods of calculus of variations. The second part applies this study to the suspension bridge model with convexified cables.
References in corpus (4)
- Loss of energy concentration in nonlinear evolution beam equations
- Torsional instability and sensitivity analysis in a suspension bridge model related to the Melan equation
- Three solutions for a Neumann partial differential inclusion via nonsmooth Morse theory
- Thresholds for hanger slackening and cable shortening in the Melan equation for suspension bridges