In this paper, two techniques are proposed for determining the large displacement statistics of random exciting continua endowed with fractional derivative elements: Boundary Element Method (BEM) based Monte Carlo simulation; and Statistical Linearization (SL). The techniques are applied to the problem of nonlinear beam and plate random response determination in the case of colored random external load. The BEM is implemented in conjunction with a Newmark scheme for estimating the system response in the time domain in conjunction with repeated simulations, while SL is used for estimating efficiently and directly, albeit iteratively, the response statistics.

Random Vibrations of Nonlinear Continua Endowed with Fractional Derivative Elements / Spanos, P. D.; Malara, G.. - In: PROCEDIA ENGINEERING. - ISSN 1877-7058. - 199:(2017), pp. 18-27. (Intervento presentato al convegno 10th International Conference on Structural Dynamics, EURODYN 2017 tenutosi a Faculty of Civil and Industrial Engineering, Sapienza University of Rome, Rome, Italy nel 2017) [10.1016/j.proeng.2017.09.144].

Random Vibrations of Nonlinear Continua Endowed with Fractional Derivative Elements

Malara G.
2017-01-01

Abstract

In this paper, two techniques are proposed for determining the large displacement statistics of random exciting continua endowed with fractional derivative elements: Boundary Element Method (BEM) based Monte Carlo simulation; and Statistical Linearization (SL). The techniques are applied to the problem of nonlinear beam and plate random response determination in the case of colored random external load. The BEM is implemented in conjunction with a Newmark scheme for estimating the system response in the time domain in conjunction with repeated simulations, while SL is used for estimating efficiently and directly, albeit iteratively, the response statistics.
2017
boundary element method
continuum mechanics
fractional derivative
statistical linearization
File in questo prodotto:
File Dimensione Formato  
Spanos, P.D., Malara, G. (2017). Random vibrations of nonlinear continua endowed with fractional derivative elements.pdf

non disponibili

Descrizione: Versione Editoriale
Tipologia: Versione Editoriale (PDF)
Licenza: Dominio pubblico
Dimensione 605.04 kB
Formato Adobe PDF
605.04 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: https://hdl.handle.net/20.500.12318/70547
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 9
  • ???jsp.display-item.citation.isi??? 9
social impact