A new mathematical explanation of the Tacoma Narrows Bridge collapse
نویسندگان
چکیده
The spectacular collapse of the Tacoma Narrows Bridge, which occurred in 1940, has attracted the attention of engineers, physicists, and mathematicians in the last 70 years. There have been many attempts to explain this amazing event. Nevertheless, none of these attempts gives a satisfactory and universally accepted explanation of the phenomena visible the day of the collapse. The purpose of the present paper is to suggest a new mathematical model for the study of the dynamical behavior of suspension bridges which provides a realistic explanation of the Tacoma collapse.
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 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 کاملComputational Fluid Dynamics Model for Tacoma Narrows Bridge Upgrade Project
The purpose of this work was to validate and apply a commercial computational fluid dynamics code with a hybrid RANS/LES turbulence computational model for a flow past a bluff body ultimately to help in the design of the caisson anchoring system during construction of a new adjacent span of the Tacoma Narrows Bridge. INTRODUCTION The new Tacoma Narrows Bridge will be designed as a suspension br...
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 کاملWhat to Say About the Tacoma Narrows Bridge to Your Introductory Physics Class
92 DOI: 10.1119/1 most introductory physics textbooks is either at best inadequate or at worst misleading. By chance, I also recently heard a talk from the project manager of a proposed new bridge across the Mississippi River at St. Louis. The issues that led to the failure of the Tacoma Narrows Bridge played a major role in the design of this new bridge. These two events have led me to think a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2013