Periodic structures have properties of controlling mechanical waves. These solutions are used in aircraft, trains, submarines, space structures where high level of robustness has to be ensured in presence of uncertainty in the numerical models. The paper presents a stochastic formulation for the Bloch analysis of periodic structures, based on the quadratic 1D and 2D forms of the Wave Finite Element method. In 1D case, numerical examples of periodic rod and metamaterial rod systems are considered; for the 2D case, homogeneous and periodic plates considered. In both cases, the effect of uncertainties on wavenumber variation is studied. The accuracy and performance of the developed method is compared with Monte Carlo simulation (MCS) results. It is found that the uncertainties affects the wavenumber scattering. Maximum variation of wavenumber occurs at the band gap edge frequencies and trends are increasing in higher frequency. In terms of computational cost, the presented formulation oers computational advantages over MCS. The computational cost savings can be a good point for the optimization and reliability study under uncertainties of complex structures.

Stochastic wave finite element quadratic formulation for periodic media: 1D and 2D / Singh, Ravi P.; Droz, C.; Ichchou, M.; Franco, Francesco; Bareille, O.; DE ROSA, Sergio. - In: MECHANICAL SYSTEMS AND SIGNAL PROCESSING. - ISSN 0888-3270. - 136:(2020). [10.1016/j.ymssp.2019.106431]

Stochastic wave finite element quadratic formulation for periodic media: 1D and 2D

Ravi P. Singh
;
Francesco Franco;Sergio De Rosa
2020

Abstract

Periodic structures have properties of controlling mechanical waves. These solutions are used in aircraft, trains, submarines, space structures where high level of robustness has to be ensured in presence of uncertainty in the numerical models. The paper presents a stochastic formulation for the Bloch analysis of periodic structures, based on the quadratic 1D and 2D forms of the Wave Finite Element method. In 1D case, numerical examples of periodic rod and metamaterial rod systems are considered; for the 2D case, homogeneous and periodic plates considered. In both cases, the effect of uncertainties on wavenumber variation is studied. The accuracy and performance of the developed method is compared with Monte Carlo simulation (MCS) results. It is found that the uncertainties affects the wavenumber scattering. Maximum variation of wavenumber occurs at the band gap edge frequencies and trends are increasing in higher frequency. In terms of computational cost, the presented formulation oers computational advantages over MCS. The computational cost savings can be a good point for the optimization and reliability study under uncertainties of complex structures.
2020
Stochastic wave finite element quadratic formulation for periodic media: 1D and 2D / Singh, Ravi P.; Droz, C.; Ichchou, M.; Franco, Francesco; Bareille, O.; DE ROSA, Sergio. - In: MECHANICAL SYSTEMS AND SIGNAL PROCESSING. - ISSN 0888-3270. - 136:(2020). [10.1016/j.ymssp.2019.106431]
File in questo prodotto:
Non ci sono file associati a questo prodotto.

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/11588/764142
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 13
  • ???jsp.display-item.citation.isi??? 12
social impact