A modal approach for the evaluation of the response sensitivity of structural systems subjected to non-stationary random process

Piero Colajanni, Cacciola, Piero Colajanni, Muscolino

Risultato della ricerca: Articlepeer review

37 Citazioni (Scopus)

Abstract

A method for the evaluation of the response sensitivity of both classically and non-classically damped discrete linear structural systems under stochastic actions is presented. The proposed approach requires the following items: (a) a suitable modal expansion of the response; (b) the derivation in analytical form of the equations governing the evolution of the derivatives of the response (the so-called sensitivity equations) with respect to the parameters that define the structural model; (c) an extensive use of the Kronecker algebra for determining the analytical expressions of the sensitivity of the structural response statistics to non-stationary random input processes. Moreover, a step-by-step integration scheme able to solve the sensitivity equations is also studied. Handy expressions for the cross-correlations between the input process and the response sensitivities are also derived. A numerical application shows that the proposed approach is suitable to cope with practical problems of engineering interest.
Lingua originaleEnglish
pagine (da-a)4344-4361
Numero di pagine18
RivistaComputer Methods in Applied Mechanics and Engineering
Volume194
Stato di pubblicazionePublished - 2005

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • ???subjectarea.asjc.3100.3100???
  • Computer Science Applications

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