Free vibration analysis and optimization of doubly-curved stiffened sandwich shells with functionally graded skins and auxetic honeycomb core layer

Pham, Hoang-Anh; Tran, Huu-Quoc; Tú, Trần Minh; Nguyen, Van-Loi; Huong, Quy-Truong

doi:10.1016/j.tws.2022.109571

Cited by 33 publications

(9 citation statements)

References 50 publications

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“…We can find that the natural frequencies obtained by the current model achieve reasonable consistency with those obtained in Ref. [ 52 ] based on FSDT. The present results are about 3% less than those in the literature.…”

Section: Resultssupporting

confidence: 86%

Impact Responses and Wave Dissipation Investigation of a Composite Sandwich Shell Reinforced by Multilayer Negative Poisson’s Ratio Viscoelastic Polymer Material Honeycomb

Zhou,

Fu,

Wang

et al. 2023

Materials

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This analysis investigated the impact wave response and propagation on a composite sandwich shell when subjected to a low-velocity external shock, considering hygrothermal effects. The sandwich shell was crafted using face layers composed of functional gradient metal–ceramic matrix material and a core layer reinforced with negative Poisson’s honeycomb. The honeycomb layer consisted of a combination of viscoelastic polymer material and elastic material. The equivalent parameters for the functional gradient material in the face layers were determined using the Mori–Tanaka and Voigt models, and the parameters for the negative Poisson’s ratio honeycomb reinforcement core layer were obtained through Gibson’s unit cell model. Parameters relevant to a low-velocity impact were derived using a modified Hertz contact law. The internal deformations, strains, and stress of the composite sandwich shell were described based on the higher-order shear deformation theory. The dynamic equilibrium equations were established using Hamilton’s principle, and the Galerkin method along with the Newmark direct integration scheme was employed to calculate the shell’s response to impact. The validity of the analysis was confirmed through a comparison with published literature. This investigation showed that a multilayer negative Poisson’s ratio viscoelastic polymer material honeycomb-cored structure can dissipate impact wave energy swiftly and suppress shock effectively.

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Section: Resultssupporting

confidence: 86%

Impact Responses and Wave Dissipation Investigation of a Composite Sandwich Shell Reinforced by Multilayer Negative Poisson’s Ratio Viscoelastic Polymer Material Honeycomb

Zhou,

Fu,

Wang

et al. 2023

Materials

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“…Here are the settings for initial values:

L_{x} = L_{y} = 2, h = 0.1, 1.5 h_{f} = h_{c}, E = 69 GPa, v = 0.33,

and

ρ = 2700 kg / m^{3}

. This conclusion may be calculated from the model of the issue, given the thickness

h_{t} = 0.9999 h, h_{b} = 0.0001 h

and

k_{italictb} = 10^{5} E_{italictc}

, and contrasted to the results derived using exact solutions [40] and the FEM [44]. Using Navier's approaches, the article's results are consistent with those of publications [35, 44] for all of the investigated instances of varying complexity.…”

Section: Numerical Results and Discussionmentioning

confidence: 97%

“…The mechanical features of the auxetic honeycomb layer are determined by [40].

E_{i 1}^{c} = E_{italicic} \frac{λ_{i 3}^{3} (λ_{i 1} - \sin θ_{i})}{\cos θ_{i} [{italiccos}^{2} θ_{i} + λ_{i 3}^{2} (λ_{i 1} + {italicsin}^{2} θ_{i})]}; E_{i 2}^{c} = E_{italicic} \frac{λ_{i 3}^{3}}{\cos θ_{i} (λ_{i 1} - \sin θ_{i}) ({italictan}^{2} θ_{i} + λ_{3}^{2})}; G_{i 12}^{c} = E_{italicic} \frac{λ_{i 3}^{3}}{λ_{i 1} (1 + 2 λ_{i 1}) \cos θ_{i}}; G_{i 13}^{c} = G_{italicic} \frac{λ_{i 3}}{2 \cos θ_{i}} [\frac{λ_{i 1} - \sin θ_{i}}{1 + 2 λ_{i 1}} + \frac{λ_{i 1} + 2 {italicsin}^{2} θ_{i}}{2 (λ_{1} - \sin θ_{i})}]; G_{i 23}^{c} = G_{italicic} \frac{λ_{i 3} \cos θ_{i}}{λ_{i 1} - \sin θ_{i}}; ρ_{i}^{c...}

…”

Section: Constituent Relationshipsmentioning

confidence: 99%

Analysis of wave propagation in multi‐physical environments for double‐layer auxetic FGP sandwich plates resting on Kerr elastic foundation

Hong

2024

Math Methods in App Sciences

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This is the first time the characteristics of wave propagation of infinite double‐layer auxetic functionally graded porous (FGP) sandwich plates connecting with shear connectors in a hygro‐thermal environment are explored. Each layer component consists of an auxetic FG sandwich material, which contains a core layer made of auxetic honeycomb, while the upper and bottom ones are made of FGP materials. The whole structure is placed on a three‐parameter Kerr elastic medium. Hamilton's principle is used to develop fundamental equations of motion. Then, a Navier closed‐form solution is employed to tackle propagating wave equations. By comparing the current findings with those found in the literature, the precision and validity of the suggested approach are proven. In addition, comprehensive parametric research is conducted to demonstrate the impact of the material‐graded value and shear connection on the propagation in the structure. In a hygro‐thermal condition, the outcomes of this study give early insights into wave propagation in double‐layer auxetic sandwich plates with shear connectors.

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“…The study conducted by examined the impact of various geometric parameters on the natural frequency. The effect of the auxetic core and stiffeners on the fundamental frequency of the structure was studied by employing a Rao‐based optimization approach 31 …”

Section: Introductionmentioning

confidence: 99%

“…The effect of the auxetic core and stiffeners on the fundamental frequency of the structure was studied by employing a Rao-based optimization approach. 31 Most studies in the published literature examined composite sandwich panels but neglected to account for the corrugation effect. Moreover, little research on corrugated structures has accounted for corrugation effects using the equivalent material model.…”

Section: Introductionmentioning

confidence: 99%

Non‐linear thermoelastic vibration and optimum frequency prediction of sandwich composite corrugated panels with honeycomb auxetic core

Kumar,

Rathore,

Kar

et al. 2023

Polymer Composites

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In this article, the non‐linear free vibration behavior of sandwich composite panels with sinusoidal corrugations is examined. These panels consist of a top and bottom skin made of a graphene‐reinforced composite, with an auxetic honeycomb core having negative Poisson's ratio. The non‐linear kinematic field is based on Kant's higher‐order shear‐deformation theory and the Green‐strain, which incorporates all the higher‐order terms. By implementing the Hamilton principle, the non‐linear governing equations are affirmed and solved further through 2D‐isoparametric finite element approximations via Lagrangian elements in conjunction with Picard's successive iterative scheme. The comparison and validation tests demonstrate the correctness of the present model. The established sandwich model is further employed for various parametric conditions by varying the core‐to‐face sheet thickness, auxetic honeycomb properties, graphene volume fraction, shell configurations, temperature, and support conditions. These numerous results exemplify the non‐linear frequencies at small‐to‐large amplitudes for the sandwich shell structures and are discussed in detail. In addition, a multi‐objective parametric optimization is conducted using the response surface method to investigate the optimal values of the corrugated auxetic honeycomb shell panel's parameters, resulting maximum frequency.Highlights Non‐linear vibration of corrugated sandwich shell panel. Graphene reinforced skins and honeycomb auxetic core. Kant's higher‐order shear‐deformation theory and Green‐Lagrange non‐linearity. Hamilton principle and Picard's successive iterative scheme. Multi‐objective parametric optimization and prediction using response surface methodology.

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Free vibration analysis and optimization of doubly-curved stiffened sandwich shells with functionally graded skins and auxetic honeycomb core layer

Cited by 33 publications

References 50 publications

Impact Responses and Wave Dissipation Investigation of a Composite Sandwich Shell Reinforced by Multilayer Negative Poisson’s Ratio Viscoelastic Polymer Material Honeycomb

Impact Responses and Wave Dissipation Investigation of a Composite Sandwich Shell Reinforced by Multilayer Negative Poisson’s Ratio Viscoelastic Polymer Material Honeycomb

Analysis of wave propagation in multi‐physical environments for double‐layer auxetic FGP sandwich plates resting on Kerr elastic foundation

Non‐linear thermoelastic vibration and optimum frequency prediction of sandwich composite corrugated panels with honeycomb auxetic core

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