Non-linear steady state vibrations of beams excited by vortex shedding
[ 1 ] Instytut Konstrukcji Budowlanych, Wydział Budownictwa i Inżynierii Środowiska, Politechnika Poznańska | [ P ] employee
2002
scientific article
english
EN In this paper the non-linear vibrations of beams excited byvortex-shedding are considered. In particular, the steadystate responses of beams near the synchronization region are taken into account. The main aerodynamic properties of wind are described by using the semi- empirical model proposed byHartlen and Currie. The finite element method and the strip method are used to formulate the equation of motion of the system treated. The harmonic balance method is adopted to derive the amplitude equations. These equations are solved with the help of the continuation method which is veryconvenient to perform the parametric studies of the problem and to determine the response curve in the synchronization region. Moreover, the equations of motion are also integrated using the Newmark method. The results of calculations of several example problems are also shown to confirm the efficiency and accuracyof the presented method. The results obtained bythe harmonic balance method and bythe Newmark methods are in good agreement with each other.
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