Uncertainty propagation in dynamics of composite plates: A semi-analytical non-sampling-based approach

Fakoor, Mahdi; Parviz, Hadi

doi:10.1007/s11709-020-0658-8

Cited by 6 publications

(2 citation statements)

References 45 publications

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“…Recent developments in neural network-based approaches, manifold methods, and NURBS-based methods enhance the performance of classic approaches in plate stability and dynamics [30][31][32][33][34][35][36]. Different practical stochastic frameworks and sensitivity analyses can be found in literature and applied in stochastic polymer composites simulations [37][38][39][40][41][42][43][44][45][46].…”

Section: Research Articlementioning

confidence: 99%

Probabilistic stability of uncertain composite plates and stochastic irregularity in their buckling mode shapes: A semi-analytical non-intrusive approach

Maleki

Parviz

Khatibi

et al. 2023

Front. Struct. Civ. Eng.

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In this study, the mechanical properties of the composite plate were considered Gaussian random fields and their effects on the buckling load and corresponding mode shapes were studied by developing a semi-analytical non-intrusive approach. The random fields were decomposed by the Karhunen—Loève method. The strains were defined based on the assumptions of the first-order and higher-order shear-deformation theories. Stochastic equations of motion were extracted using Euler—Lagrange equations. The probabilistic response space was obtained by employing the non-intrusive polynomial chaos method. Finally, the effect of spatially varying stochastic properties on the critical load of the plate and the irregularity of buckling mode shapes and their sequences were studied for the first time. Our findings showed that different shear deformation plate theories could significantly influence the reliability of thicker plates under compressive loading. It is suggested that a linear relationship exists between the mechanical properties’ variation coefficient and critical loads’ variation coefficient. Also, in modeling the plate properties as random fields, a significant stochastic irregularity is obtained in buckling mode shapes, which is crucial in practical applications.

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Section: Research Articlementioning

confidence: 99%

Probabilistic stability of uncertain composite plates and stochastic irregularity in their buckling mode shapes: A semi-analytical non-intrusive approach

Maleki

Parviz

Khatibi

et al. 2023

Front. Struct. Civ. Eng.

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“…Composite structures are sensitive not only design parameters of conventional materials, but also the parameters such as angular orientation, elasticity of fibres, shear modulus, fibre to resin ratio, thicknesses of the ply, etc, which affect the mechanical properties of the composites [10][11][12]. Therefore, sensitivity analysis of composites is a hot research area among researchers [13][14][15][16][17]. Amongst these, Kengtung [3] examined the static response sensitivity of symmetric laminated composite plates for small rates of orientation angle change.…”

Section: Introductionmentioning

confidence: 99%

Sensitivity analysis of laminated composite plates with different orientations in low to high order modes

Kara¹,

Güler²,

Seçgin³

2021

Smart Mater. Struct.

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Laminated composite plates are utilized due to their high strength/weight ratios. Since such structures are light and have less stiffness, their natural frequencies are lower than usual isotropic structures. Therefore, their behaviours in higher order modes are of interest. On the contrary, sensitivity analysis of vibrating structures is generally performed for lower order modes. In this study, sensitivity analysis of symmetrical/anti-symmetrical/asymmetrical laminated composite plates is performed in low to high order modes. In this regard, angular orientation, Young’s modulus, shear modulus, Poisson’s ratio and density of the plate are selected as design parameters whereas natural frequencies are selected as design objective functions. Discrete singular convolution method is used as solver due to its high computational capability. Although some other conclusions are drawn, it can mainly be concluded that, the natural frequencies are very sensitive to small differences in Poisson ratio for orientation angles of considered plates.

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Probabilistic thermal stability of laminated composite plates with temperature-dependent properties under a stochastic thermal field

2022

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Uncertainty propagation in dynamics of composite plates: A semi-analytical non-sampling-based approach

Cited by 6 publications

References 45 publications

Probabilistic stability of uncertain composite plates and stochastic irregularity in their buckling mode shapes: A semi-analytical non-intrusive approach

Probabilistic stability of uncertain composite plates and stochastic irregularity in their buckling mode shapes: A semi-analytical non-intrusive approach

Sensitivity analysis of laminated composite plates with different orientations in low to high order modes

Probabilistic thermal stability of laminated composite plates with temperature-dependent properties under a stochastic thermal field

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