Torsional asymmetry in suspension bridge systems
نویسندگان
چکیده
منابع مشابه
Torsional instability in suspension bridges: the Tacoma Narrows Bridge case
All attempts of aeroelastic explanations for the torsional instability of suspension bridges have been somehow criticised and none of them is unanimously accepted by the scientific community. We suggest a new nonlinear model for a suspension bridge and we perform numerical experiments with the parameters corresponding to the collapsed Tacoma Narrows Bridge. We show that the thresholds of instab...
متن کاملSmart Suspension Systems for Bridge-Friendly Vehicles
In this paper, the effects of using semi-active control strategy (such as MR dampers) in vehicle suspensions on the coupled vibrations of a vehicle traversing a bridge are examined in order to develop various designs of smart suspension systems for bridge-friendly vehicles. The bridge-vehicle coupled system is modeled as a simply supported beam traversed by a two-degree-of-freedom quarter-car m...
متن کاملLarge Torsional Oscillations in a Suspension Bridge: Multiple Periodic Solutions to a Nonlinear Wave Equation
We consider a forced nonlinear wave equation on a bounded domain which, under certain physical assumptions, models the torsional oscillation of the main span of a suspension bridge. We use Leray–Schauder degree theory to prove that, under small periodic external forcing, the undamped equation has multiple periodic solutions. To establish this multiplicity theorem, we prove an abstract degree th...
متن کاملTraveling Waves in a Suspension Bridge System
Traveling Waves in a Suspension Bridge System by Robert A. Ain, Jr. Dr. Zhonghai Ding, Examination Committee Chair Associate Professor of Mathematics University of Nevada, Las Vegas In this thesis, we study the traveling waves in a Lazer-McKenna suspension bridge system which is governed by two coupled nonlinear beam and wave equations. The Lazer-McKenna suspension bridge system describes the v...
متن کاملLarge Torsional Oscillations in Suspension Bridges Visited Again: Vertical Forcing Creates Torsional Response
1. The Tacoma Narrows Bridge. In class we discussed a mathematical model that might expalin the collapse of the Broughton Bridge as a column of soldiers marched across it. It does not explain the collapse of the Tacoma Narrows Bridge, however, as that was caused by torsional, or twisting, oscillations. Consider a roadway of width 2L hanging between two suspended cables, as pictured below. (This...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 2015
ISSN: 0862-7940,1572-9109
DOI: 10.1007/s10492-015-0117-3