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Stochastic Reliability Based Design Criteria for Linear Structure Subject to Random Vibrations

[+] Author Affiliations
G. C. Marano, F. Trentadue

Politecnico di Bari, Bari, Italy

B. Chiaia

Politecnico di Torino, Torino, Italy

Paper No. ESDA2006-95458, pp. 341-348; 8 pages
  • ASME 8th Biennial Conference on Engineering Systems Design and Analysis
  • Volume 3: Dynamic Systems and Controls, Symposium on Design and Analysis of Advanced Structures, and Tribology
  • Torino, Italy, July 4–7, 2006
  • ISBN: 0-7918-4250-9 | eISBN: 0-7918-3779-3
  • Copyright © 2006 by ASME


Random vibration is a common state in many real structural problems concerning dynamic environment loads, as base excitation induced by rotating machinery or wind loads. In this work a full stochastic approach for optimal design of linear structures subject to random dynamic loads is presented. By adopting a covariance approach a reliability based optimum criterion is developed, where both objective function (OF) and constraints are defined in a stochastic way. This criterion can be applied both for stationary and for non stationary vibration conditions. Constraints impose a limit to failure probability, here associated with the first threshold crossing of a structural displacement, while the inertial acceleration variance or the elastic force variance are minimized in order to control vibration effects. Two applications are developed for simple structural vibration control problems to evaluate the efficiency of the proposed criterion. The first regards a vibration absorber modelled by a SDoF, while the second is a tuned mass damper represented by a TDoF. Both cases are subject to filtered white noise.

Copyright © 2006 by ASME



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