Bridge Aerodynamic Stability Instability Phenomena and Simplified Models André Miguel da Silva Rebelo de Campos Dissertation for the degree of Master of Science Civil Engineering President: Professor Luís Manuel Coelho Guerreiro Internal examiner: Professor Pedro António Martins Mendes Supervisor: Professor António José Luís dos Reis NOVEMBER 2014 This page left blank intentionally. This page left blank intentionally. This page left blank intentionally. Abstract With the collapse of the Tacoma Narrows Bridge a new area of study was born within the branch of Civil Engineering. This area, called Aeroelasticity, considers the effects of a bridge deck immerse in a wind flow. This has become more and more important due to the ever increasing length of spans in cable supported bridges. Even though this is a new subject within Civil Engineering, Aeroelasticity had already been studied for some time by the Aeronautical Industry. Because of this, most theories applied nowadays to deck cross sections have been adapted from aerofoils and flat plates’ behaviour. Aeroelasticity provides answers for what kind of displacements and forces occur when a bridge deck is subjected to a flow of air. It also defines what instability phenomena can occur in this situation. Furthermore, experimental procedures and simplified models have been developed to help with the evaluation of the stability of bridge decks. These are presented in this dissertation and are applied to practical cases to evaluate their validity. Keywords: Aeroelasticity, Instability Phenomena, Wind Tunnel Testing, Approximated Formulas, Bidimensional Models i This page left blank intentionally. ii Resumo Com o colapso da ponte de Tacoma Narrows, surgiu, na Engenharia Civil, uma nova area de estudo chamada Aeroelasticidade. Esta área considera os efeitos provocados num tabuleiro de uma ponte imerso num escoamento de vento. Estes fenómenos são cada vez mais importantes devido ao comprimento cada vez maior dos vãos de pontes suspensas e atirantadas. Apesar de ser uma nova disciplina na área da Engenharia Civil, a Aeroelasticidade já era objecto de estudo da Industria Aeronautica há algum tempo. Isto traduziu-se na adaptação das teorias usadas para prever o comportamento de “aerofólios” e placas finas para os tabuleiros das pontes. A aeroelasticidade explica quais os movimentos e forças que surgem nestes tabuleiros quando são sujeitos a um escoamento de vento. Também identifica quais os fenómenos de instabilidade passiveis de ocorrer. Além disso, existem procedimentos experimentais e modelos simplificados que têm sido desenvolvidos de modo a verificar a estabilidade deste tipo de estruturas. Neste relatório, estes são apresentados e aplicados a casos práticos para avaliar a sua validade. Palavras-chave: Aeroelasticidade, Fenómenos de Instabilidade, Ensaios em Túneis de Vento, Formulas Aproximadas, Modelos Bidimensionais iii This page left blank intentionally. iv Acknowledgements To professor António José Luís dos Reis, for his availability and readiness in providing references as well as help with any obstacle that crossed the way. To my friends, whose support I couldn’t have done without. To my parents, for their unconditional support and for all the help and care they provided. To my brother and sister, for all the help and stress relief moments. And especially to my friend Ana Raquel Crespo, for her love and all the hours spent supporting me no matter what. v This page left blank intentionally. vi
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