Non-Gaussian Response of Linear Systems

  • C. G. Bucher
  • G. I. Schuëller


Within the scope of linear random vibration analysis it is frequently assumed that the excitation process possesses Gaussian properties. Although this simplifying assumption may be justified in many cases there are certain — mainly environmental — load processes (e.g. earthquake, wind, water waves) whose time histories (realizations) quite frequently reveal considerably non-normal characteristics. These properties are, of course, reflected in the response of systems to this type of excitation. Consequently, the probabilistic description of the response will, in general, have to be based on Non-Gaussian properties as e.g. reflected in the higher order statistical moments of the response. The non-normality becomes of significant importance when exceedance probabilities are under investigation, i.e. the reliability of a structure is being assessed.


Probability Density Function Power Spectral Density Statistical Moment Exceedance Probability Wind Pressure 
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© Springer-Verlag Berlin, Heidelberg 1991

Authors and Affiliations

  • C. G. Bucher
    • 1
  • G. I. Schuëller
    • 1
  1. 1.Institute of Engineering MechanicsUniversity of InnsbruckAustria

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