Effect of Unsteady Wind Flow on Galloping of Tall Prismatic Structures

The galloping of tall prismatic cantilevertype structures due to unsteady wind is solvedanalytically. The unsteady wind was considered byadding a time varying wind speed component to the meanwind speed component. In reality, the time-varyingwind speed component is a random phenomenon that can bemodeled as a series of harmonic terms using thetransformation of the unsteady wind speed spectruminto the time domain. In doing this it is apparentthat the structure is subjected to multiharmonicexternal and parametric excitations due to theunsteady wind in addition to the nonlinearself-excited wind forces due to the steady wind speedcomponent. To have a clear insight into the unsteadywind effect, only one harmonic term is considered outof all the harmonic terms. The multiple-scale methodis used to study the effect of primary and secondaryresonances on the galloping response of the structure. Comparisons between the analytical results obtainedfrom the method of multiple scales and the numericalsolutions obtained from numerical integration indicate the accuracy of the analysis and thecomprehensive information obtained from the analyticalsolutions.