Estimation of random field material properties for chopped fibre composites and application to vibration modelling

Fabro, Adriano T.; Ferguson, N.S.; Gan, Jinyi; Mace, B.R.; Bickerton, Simon; Battley, Mark

doi:10.1016/j.compstruct.2015.01.036

Cited by 8 publications

(4 citation statements)

References 28 publications

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“…The influence of inevitable variability in materials and geometric properties on natural frequencies and the mobilities of the beam made of chopped strand mat glass fiber reinforced epoxy composite material was presented by Fabro et al. 41 The conducted studies suggest that simple Gaussian random field can be used to model the material and geometric properties to investigate the dynamic behavior of the composite structures.…”

Section: Introductionmentioning

confidence: 99%

Stochastic aeroelastic analysis of laminated composite plate with variable fiber spacing

Sharma

Swain

Maiti

et al. 2021

Journal of Composite Materials

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In this paper, the dynamic and aeroelastic analysis of variable fiber spacing composite (VFSC) laminated plates are carried out. The effects and benefits of changing the fiber distribution pattern on natural frequency and mode shape are explored taking various boundary conditions. Taking cantilever boundary condition flutter characteristics of VFSC plate with different fiber distribution patterns are compared. Further stochasticity of flutter velocity due to randomness in material properties that could arise due to complex manufacturing and fabrication process of VFSC laminates is investigated. The perturbation technique is implemented to perform the stochastic as well as reliability analysis. Various parametric studies are conducted to check the accuracy and efficiency of perturbation technique, by comparing the results with that of Monte Carlo simulation and the first-order reliability method.

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Section: Introductionmentioning

confidence: 99%

Stochastic aeroelastic analysis of laminated composite plate with variable fiber spacing

Sharma

Swain

Maiti

et al. 2021

Journal of Composite Materials

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“…Note that and can assume different values so that the correlation is different for each and direction. This is required for the case of, for example, fibre reinforced composites [8,9]. This property ensures that the problem separates into two independent onedimensional problems, so that ( , ) = ( ) ( ) and = .…”

Section: Flexural Vibration Of Platesmentioning

confidence: 99%

“…Structural uncertainty modelling often involves modelling spatial random variability. It becomes even more relevant when dealing with, for instance, composite materials [5][6][7][8][9] or additive manufacturing [10,11]. One of the available tools to describe spatially correlated variability is the random field [12,13], which is a multidimensional random process using a probability measure.…”

Section: Introductionmentioning

confidence: 99%

Structural vibration analysis with random fields using the hierarchical finite element method

Fabro

Ferguson

Mace

2019

J Braz. Soc. Mech. Sci. Eng.

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Element based techniques, like the Finite Element method, are the standard approach in industry for low frequency applications in structural dynamics. However, mesh requirements can significantly increase the computational cost for increasing frequencies. In addition, randomness in system properties starts to play a significant role and its inclusion in the model further increases the computational cost. In this paper, a hierarchical finite element formulation is presented which incorporates spatially random properties. Polynomial and trigonometric hierarchical functions are used in the element formulation. Material and geometrical spatially correlated randomness are represented by the Karhunen-Loève expansion, a series representation for random fields. It allows the element integration to be performed only once for each term of the series which has benefits for a sampling scheme and can be used for non-Gaussian distributions. Free vibration and forced response statistics are calculated using the proposed approach. Compared to the standard h-version, the hierarchical finite element approach produces smaller mass and stiffness matrices, without changing the number of nodes of the element, and tends to be computationally more efficient. These are key factors not only when considering solutions for higher frequencies but also in the calculation of response statistics using a sampling method such as Monte Carlo simulation.

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“…13–16 Also, some other works have focused on the fiber alignment, such as randomly dispersed orientations. 17,18…”

Section: Introductionmentioning

confidence: 99%

An optimized representative volume element to predict the stiffness of aligned short fiber composites

Shokrieh¹,

Moshrefzadeh-Sani

2016

Journal of Composite Materials

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The micromechanical prediction of mechanical properties of composites, using a finite element method, is highly affected by selecting a suitable representative volume element. In the present research, the effects of the representative volume element aspect ratio on the stiffness of aligned short fiber composites have been studied. First, an analytical method is suggested to predict the longitudinal and transverse moduli of composites considering the representative volume element aspect ratio. Then, the optimum aspect ratio of the representative volume element is estimated by comparing the results obtained by the present method with those of a micromechanical method. Comparing the stiffness of the optimized representative volume element with some experimental results available in the literature shows that the result of the present method is also in a good agreement with experiments.

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Estimation of random field material properties for chopped fibre composites and application to vibration modelling

Cited by 8 publications

References 28 publications

Stochastic aeroelastic analysis of laminated composite plate with variable fiber spacing

Stochastic aeroelastic analysis of laminated composite plate with variable fiber spacing

Structural vibration analysis with random fields using the hierarchical finite element method

An optimized representative volume element to predict the stiffness of aligned short fiber composites

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