Random Vibration

Part of the Solid Mechanics and Its Applications book series (SMIA, volume 198)


This is the first of two chapters devoted to the response of structures excited by random loads. The first part of this chapter summarizes the main theoretical concepts that characterize the single input-single output relationship of a linear system excited by a stationary Gaussian random process: correlation function, power spectral density, cumulative mean square response, spectral moments, etc... Rice’s formulae and the envelope of a narrow band process are also discussed. The second part of this chapter is devoted to the response of multi input-multi output systems and the specification of the random field of excitation, with examples taken from boundary layer noise, wind response of tall buildings and vehicle moving on rough ground. The chapter concludes with the seismic response of a n-storey building and a set of problems.


Power Spectral Density Ground Acceleration Coherence Function Seismic Excitation Power Spectral Density Function 
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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Active Structures LaboratoryUniversité Libre de BruxellesBrusselsBelgium

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