This paper addresses the analysis of structures with random axial stiffness described by imprecise probability density function (PDF). Uncertainties are modelled as random variables whose PDF is assumed to depend on interval basic parameters (mean-value, variance, etc.). The main purpose of the analysis is to propagate the imprecise PDF of the random axial stiffness by establishing approximate bounds on the mean-value and variance of the response. To this aim, an efficient method is proposed which relies on the combination of standard probabilistic analysis with the so-called improved interval analysis via extra unitary interval and the Rational Series Expansion, recently introduced by the authors. The accuracy of the proposed bounds of response statistics is demonstrated by appropriate comparisons with the results obtained performing standard Monte Carlo Simulation in conjunction with a combinatorial procedure.

Analysis of structures with random axial stiffness described by imprecise probability density functions

SOFI, Alba
2017

Abstract

This paper addresses the analysis of structures with random axial stiffness described by imprecise probability density function (PDF). Uncertainties are modelled as random variables whose PDF is assumed to depend on interval basic parameters (mean-value, variance, etc.). The main purpose of the analysis is to propagate the imprecise PDF of the random axial stiffness by establishing approximate bounds on the mean-value and variance of the response. To this aim, an efficient method is proposed which relies on the combination of standard probabilistic analysis with the so-called improved interval analysis via extra unitary interval and the Rational Series Expansion, recently introduced by the authors. The accuracy of the proposed bounds of response statistics is demonstrated by appropriate comparisons with the results obtained performing standard Monte Carlo Simulation in conjunction with a combinatorial procedure.
Explicit expressions, Imprecise probability, Improved interval analysis, Interval basic parameters, Rational Series Expansion, Upper bound and lower bound
File in questo prodotto:
File Dimensione Formato  
Muscolino-Sofi_2017_Computers_Analysis_pre-print.pdf

non disponibili

Descrizione: Articolo principale (pre-print)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 273.59 kB
Formato Adobe PDF
273.59 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12318/2631
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 12
  • ???jsp.display-item.citation.isi??? 6
social impact