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Stochastic isogeometric analysis of the free vibration of tow-steered composite laminated plates under widespread uncertainties.

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Názov: Stochastic isogeometric analysis of the free vibration of tow-steered composite laminated plates under widespread uncertainties.
Autori: Negahban B., A.1 (AUTHOR), Khalafi, V.1 (AUTHOR), Fazilati, J.2 (AUTHOR) JFazilati@ari.ac.ir
Zdroj: Mechanics Based Design of Structures & Machines. Aug2025, p1-19. 19p. 8 Illustrations.
Predmety: *ISOGEOMETRIC analysis, *FREE vibration, *STOCHASTIC analysis, *SENSITIVITY analysis, *COMPOSITE plates, *FLUCTUATIONS (Physics), *STIFFNESS (Engineering), *MONTE Carlo method
Abstrakt: AbstractThe impact of uncertainties from the material components and layup to geometrical ones on the behavior of a composite plate is investigated. The isogeometric analysis(IGA) methodology has been developed along with a Monte-Carlo simulation(MCS) to thoroughly investigate the stochastic free vibration characteristics of a variable stiffness composite laminated(VSCL) plate. An equivalent layer approach based on the first-order shear deformation theory of plates is implemented. In the context of the IGA method, cubic NURBS basis functions are utilized to represent the accurate geometry of the plate, while similar functions are utilized as the shape functions for field parameters’ approximation as well. The impact of uncertainty on the model parameters and the consequences on the free vibration response of the VSCL plate is addressed. Almost all properties are considered to encounter uncertainty including the material components’ properties, plates’ geometry characteristics, and the fiber orientation angles. The stochastic behavior in various boundary conditions and different layup schemes is analyzed to provide a comprehensive understanding of the plate’s vibration behavior under uncertainty. A sensitivity analysis is also performed to identify the major parameters influencing the fundamental natural frequency of the problem. Through this analysis, the specific factors to which the fundamental natural frequency is highly sensitive are determined, providing valuable insights into how variations in these parameters can affect the free vibration behavior. The method convergency is shown, and its accuracy is confirmed through comparisons with published literature and a set of original frequency bounds with calculated probabilities and reliability indexes are provided. [ABSTRACT FROM AUTHOR]
Databáza: Academic Search Index
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Abstrakt:AbstractThe impact of uncertainties from the material components and layup to geometrical ones on the behavior of a composite plate is investigated. The isogeometric analysis(IGA) methodology has been developed along with a Monte-Carlo simulation(MCS) to thoroughly investigate the stochastic free vibration characteristics of a variable stiffness composite laminated(VSCL) plate. An equivalent layer approach based on the first-order shear deformation theory of plates is implemented. In the context of the IGA method, cubic NURBS basis functions are utilized to represent the accurate geometry of the plate, while similar functions are utilized as the shape functions for field parameters’ approximation as well. The impact of uncertainty on the model parameters and the consequences on the free vibration response of the VSCL plate is addressed. Almost all properties are considered to encounter uncertainty including the material components’ properties, plates’ geometry characteristics, and the fiber orientation angles. The stochastic behavior in various boundary conditions and different layup schemes is analyzed to provide a comprehensive understanding of the plate’s vibration behavior under uncertainty. A sensitivity analysis is also performed to identify the major parameters influencing the fundamental natural frequency of the problem. Through this analysis, the specific factors to which the fundamental natural frequency is highly sensitive are determined, providing valuable insights into how variations in these parameters can affect the free vibration behavior. The method convergency is shown, and its accuracy is confirmed through comparisons with published literature and a set of original frequency bounds with calculated probabilities and reliability indexes are provided. [ABSTRACT FROM AUTHOR]
ISSN:15397734
DOI:10.1080/15397734.2025.2553328