2014/04/29 by Elvise Berchio, Filippo Gazzola, Berchio, E. +1
Engineering · #34C15 #35G31 #37C75 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Dynamics and Control of Mechanical Systems #FOS: Mathematics #Fluid Dynamics and Vibration Analysis #Vibration and Dynamic Analysis
paper · pdf · doi:10.48550/arxiv.1404.7351
openalex publication_date 2014/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a mathematical model for the study of the dynamical behavior of suspension bridges. We show that internal resonances, which depend on the bridge structure only, are the origin of torsional instability. We obtain both theoretical and numerical estimates of the thresholds of instability. Our method is based on a finite dimensional projection of the phase space which reduces the stability analysis of the model to the stability of suitable Hill equations. This gives an answer to a long-standing question about the origin of torsional instability in suspension bridges.