Stability of dynamic response of suspension bridges

Abstract

Abstract. The

Correlating Pressure‐Induced Emission Modulation with Linker Rotation in a Photoluminescent MOF

“…For example, when crystals of both UiO‐67(Zr) and UiO‐abdc(Zr) were compressed using methanol as a hydrostatic liquid, the crystals were essentially incompressible; however, when compressed using large perfluorinated oils (that were too large to penetrate the pores), the crystals showed direct compression. Surprisingly, the MOF composed of the longer organic linkers (abdc) was more resilient to direct compression of the framework, and pressure compliance was attributed to framework‐dynamic behaviour, much like a suspension bridge, whereby some flexibility in the linking struts gives rise to a more stable structure . Similarly, recent work by Suslick et al., has shown that UiO‐66(Zr), which has shorter terephthalate linkers, undergoes bond‐breakage under pressure, and is even less stable .…”

On the instability tongues of the Hill equation coupled with a conservative nonlinear oscillator

“…The main motivation for starting the study of problems (I) and (II) is the analysis of parametric torsional instability for some recent suspension bridge models, where a finite dimensional projection of the phase space reduces the stability analysis at small energies of the model to the stability of a Hill equation such as 1.1. We refer the reader to Gazzola's book [19], to the papers [8,9,3,10,17], and to our previous works [30,31]. Other interesting applications arise in the study of the stability of nonlinear modes in some beam equations [18] or string equations [12,11].…”

“…An important issue in the mathematical modeling of suspension bridges is the phenomenon of energy transfer from flexural to torsional modes of vibration along the deck of the bridge. According to a recent field of research [3,8,19,17,10] internal nonlinear resonances giving rise to the onset of instability may occur even when the aeroelastic coupling is disregarded. In particular, in the fish-bone bridge model ( [19, ch.…”

The Application of the Finite Element Method for Static Behaviour Analysis of the Asymmetrical One-Pylon Suspension Bridge Built-in Bending Cables of Different Rigidity

“…A large number of analytical methods for calculating classical suspension bridges with rigid cables are based on nonlinear calculations according to the distorted scheme (Arco & Aparicio, 2001;Clemente, Nicolosi, & Raithel, 2000;Gimsing & Georgakis, 2012;Idnurm, 2006;Jennings, 1987;Kim & Thai, 2010;Kulbach, 2007;Wollmann, 2001). Also, plenty of studies on the dynamic characteristics of suspension bridges have been carried out (Capsoni, Ardito, & Guerrieri, 2017;Goremkins, Rocens, Serdjuks, & Sliseris, 2013;El Ouni & Kahla, 2012;Sousa, R., Souza, R. M., Figueiredo, & Menezes, 2011;Treyssede, 2010).…”