Preliminary static analysis of suspension bridges

Stability of dynamic response of suspension bridges

“…It is worth noting that the symmetric modes include trigonometric and hyperbolic functions, conversely the skew-symmetric ones are represented by simple sinusoidal shapes. The influence of the main parameters 1 2 , 2 , 2 , and 2 has been investigated through a parametric analysis, based on the available data collected from the literature [5,12,[35][36][37][38][39][40][41][42][43][44]. Besides realistic values, also extreme conditions are considered such as 1 2 = 0 (flat cables), 1 2 = ∞ (inextensible cables), 2 = 0 (flexible deck), 2 = 0 (rigid warping), 2 = ∞ (free warping), 2 = 0 (flexible deck).…”

“…where � = 2 ⁄ is the aspect ratio of the cross section: from available bridges data [5,12,[35][36][37][38][39][40][41][42][43][44]] � = 3 ÷ 12. Concerning the Strouhal number, we will consider = 0.1 [49] associated to an airfoil.…”

“…Experimental investigations showed that oscillations of circular cylinders never overcome the 20% of the cross flow dimension of the body. Consequently an empirical upper bound for dimensionless vertical vibrations w � ( , ) should be taken about equal to 2% assuming � = 6.4 and � = 0.32 from average values of [5,12,[35][36][37][38][39][40][41][42][43][44].…”

A simplified method for lateral response analysis of suspension bridges under wind loads

“…This is mainly because: (1) this theory can, to a certain extent, account for the geometric non-linearity of structure (the sti ening e ect of the tension force in the cable); (2) this theory is simple and accurate. This conclusion has been demonstrated by the fact that the majority of the existing long-span suspension bridges were correctly designed using the de ection theory before the computer era [5]. A detailed review of the de ection theory can be found in Reference [6].…”

Non-Linear Analysis of Suspension Bridges With Flexible and Rigid Cables

“…However, some of them are rather complex or are ineffective from the technical and economic perspective. Quite a number of publications analyse the behaviour of classical suspension bridges when the suspension cable is considered ideally flexible (Cobo del Arco & Aparicio 2001;Wollman 2001;Kulbach et al 2002). However, this idealisation is a purely theoretical concept, as in real structures such elements have a certain height of the cross-section and, consequently, a bending stiffness of a finite (not equal to zero) value (Furst et al 2001).…”