Engineering Mechanics

Proceedings Vol. 20 (2014)

ENGINEERING MECHANICS 2014

Copyright © 2014 Brno University of Technology Institute of Solid Mechanics, Mechatronics and Biomechanics

 

Náprstek J., Pospíšil S.
pages 443 - 446, full text

The divergence is one of the most important and dangerous phenomenon of aeroelastic postcritical states occurring at a prismatic slender beam in a cross-flow. This phenomenon manifests by stable periodic hopping between two nearly constant limits perturbed by random noises. Experimental observation and numerical simulation motivates an idea to model this process as the effect of the stochastic resonance. Being observed and practically used in a number of disciplines in physics (optics, plasma physics, atd.) its mathematical basis follows in the most simple case from properties of the Duffing equation with negative linear part of the stiffness. The occurrence of this phenomenon depends on certain combinations of input parameters, which can be determined theoretically and verified experimentally in the wind tunnel. Parameter combinations leading to the stochastic resonance (or divergence) should be avoided in practice in order to eliminate any danger of the bridge deck collapse due to aeroelastic effects.

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