Structural Response under Turbulent Flow Excitations

  • Y. K. Lin
Part of the International Centre for Mechanical Sciences book series (CISM, volume 225)


In this report three problems of random vibration are discussed. In each case the external excitation is a turbulent flow. The first two problems,an airplane flying into atmospheric turbulence and a panel-like structure exposed to boundary-layer pressure fluctuation, are treated as linear problems. It is shown that if Taylor’s hypothesis of a frozen turbulence field is valid then the calculation can be greatly simplified using a spectral analysis in the wave-number domain. However, if decay in the turbulence is appreciable a superposition scheme can still be used to retain as much computational advantage of the wave-number domain analysis as possible.

The third problem, the response of a building to gusty wind, is formulated as a nonlinear problem in which randcm inputs occur both as parametric and non-parametric excitations. The stochastic averaging method of Stratonovich and Khasminskii is used to obtain equivalent Itô equations for the along-wind motion and the across-wind motion. Stability conditions are established for the second moment in the along-wind direction and for the first moment in the across-wind direction. The stationary second moment for the along-wind motion, when it is stable, is also obtained.


Atmospheric Turbulence Parametric Excitation White Noise Process Structural Motion Stochastic Average 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Wien 1977

Authors and Affiliations

  • Y. K. Lin
    • 1
  1. 1.University of IllinoisUrbanaUSA

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