Response types and general stability conditions of linear aero-elastic system with two degrees-of-freedom

The unified linear variant of the general mathematical description of stability conditions for a girder with a bluff cross-section under the influence of wind flow is presented. A double degree-of-freedom model for the heave and pitch self-excited motion is used. The properties of the response locat...

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Bibliographic Details
Published in:Journal of wind engineering and industrial aerodynamics 2012-12, Vol.111, p.1-13
Main Authors: NAPRSTEK, J, POSPISIL, S
Format: Article
Language:English
Subjects:
Aero-elastic derivatives
Aero-elastic system
Applied sciences
Bridge elements
Bridges
Buildings. Public works
Climatology and bioclimatics for buildings
Cross sections
Degrees of freedom
Divergence
Exact sciences and technology
Flutter
Heave
Instability
Mathematical analysis
Mathematical models
Routh–Hurwitz conditions
Self-excited vibration
Stability
Vibration
Wind engineering
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Summary:The unified linear variant of the general mathematical description of stability conditions for a girder with a bluff cross-section under the influence of wind flow is presented. A double degree-of-freedom model for the heave and pitch self-excited motion is used. The properties of the response located at the stability limits and the tendencies of the response in their vicinity are analyzed by means of the Routh–Hurwitz theorem. The respective stability conditions are depicted in the frequency plane delimited by the frequencies of two principal aero-elastic modes. Conditions for flutter onset and divergence are identified as special cases of the general theory. The results can be used as an explanation of several experimentally observed effects. The application of this method to real bridges is presented and compared with existing results from other approaches. ► Linear variant description of aeroelastic stability of bluff cross-sections is presented. ► Stability conditions are analyzed in frequency plane delimited by principal aero-elastic modes. ► The flutter and divergence conditions are identified as special cases of general description. ► Results can be used as phenomenological explanation of several experimentally observed effects. ► Application of this method to real bridges is presented and compared with other approaches.
ISSN:0167-6105
1872-8197
DOI:10.1016/j.jweia.2012.08.002