[en] This work aims to study the rotational stability of a tower crane left free to rotate. Indeed, in case of important wind velocities, small oscillations can increase and build up into autorotations due to autoparametric excitation of the structure. Many references in the literature describe the limit between oscillation and autorotation for simple cases like the deterministic pendulum and evidence the importance of the Hamiltonian of a system on its stability. In this context the susceptibility of the structure to this dynamical instability is characterized by the average time necessary to reach a given energy barrier departing from an initial energy level. This first passage time is the solution of the Pontryagin equation and is approached by an asymptotic expansion. First- and second-order terms are calculated as well as the boundary layer solution providing a correction when the initial energy is close to the barrier level.
Disciplines :
Civil engineering
Author, co-author :
Vanvinckenroye, Hélène ; Université de Liège > Département ArGEnCo > Analyse sous actions aléatoires en génie civil
Denoël, Vincent ; Université de Liège > Département ArGEnCo > Analyse sous actions aléatoires en génie civil
Language :
English
Title :
Stochastic rotational stability of tower cranes under gusty winds
Publication date :
2016
Event name :
SEMC 2016: The Sixth International Conference on Structural Engineering, Mechanics and Computation
Event place :
Cape Town, South Africa
Event date :
5-7 September 2016
Audience :
International
Main work title :
Proceedings of the Sixth International Conference on Structural Engineering, Mechanics and Computation
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