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This document discusses flutter instability in cable-stayed bridges. It provides background on the Tacoma Narrows bridge collapse in 1940 due to flutter instability, and discusses analytical methods that have been developed to study flutter instability, including single-mode, two-mode, and multi-mode flutter stability analyses. The document focuses on presenting the state-of-the-art analytical methods for aeroelastic analysis in the frequency domain and modal space, with an example application to a cable-st

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