Low Dimensional Description of Pedestrian-Induced Instability of the Millennium Bridge

Simple item page
dc.contributor.advisorOtt, Edwarden_US
dc.contributor.authorAbdulrehem, Mahmoud M.en_US
dc.contributor.departmentElectrical Engineeringen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.date.accessioned2009-01-24T06:33:54Z
dc.date.available2009-01-24T06:33:54Z
dc.date.issued2008-08-26en_US
dc.description.abstractWhen it opened to pedestrian traffic in the year 2000, London's Millennium Bridge exhibited an unwanted, large, side-to-side oscillation which was apparently due to a resonance between the stepping frequency of walkers and one of the bridge modes. Models for this event, and similar events on other bridges, have been proposed. The model most directly addressing the synchronization mechanism of individual walkers and the resulting global response of the bridge-pedestrian system is one developed by Eckhardt et al. This model treats individual walkers with a phase oscillator description and is inherently high dimensional with system dimensionality (N+2), where N is the number of walkers. In this thesis we use a method proposed by Ott and Antonsen to reduce the Eckhardt et al. model to a low dimensional dynamical system, and we employ this reduced description to study the global dynamics of the bridge-pedestrian interaction. More generally, this treatment serves as an interesting example of the possibility of low dimensional macroscopic behavior in large systems of coupled oscillators.en_US
dc.format.extent662789 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/8736
dc.language.isoen_US
dc.subject.pqcontrolledEngineering, Electronics and Electricalen_US
dc.titleLow Dimensional Description of Pedestrian-Induced Instability of the Millennium Bridgeen_US
dc.typeThesisen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Abdulrehem.pdf
Size:
640.57 KB
Format:
Adobe Portable Document Format
Download

Collections

UMD Theses and Dissertations
Electrical & Computer Engineering Theses and Dissertations