Double‐mode modeling of nonlinear flexural vibration analysis for a symmetric rectangular honeycomb sandwich thin panel by the homotopy analysis method

Li, Yongqiang; Yao, Wenkai

doi:10.1002/mma.6703

Cited by 6 publications

(3 citation statements)

References 28 publications

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“…Strek et al [18] carried out a dynamic reaction analysis of sandwich plates. Li and Yao [19] explored the nonlinear flexural oscillation of symmetric rectangular honeycomb sandwich thin plates with fully simple assisted boundary conditions. Civalek and his co‐workers [20] conducted an oscillation analysis of carbon nanotube‐reinforced microbeam structures.…”

Section: Introductionmentioning

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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Section: Introductionmentioning

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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“…The vibration response of sandwich structures was studied in the literature to find the natural frequencies of vibration and their mode shapes [7][8][9]. Sandwich vibrations were studied analytically by deriving a set of equations of motion based on plate theory and solving it to yield the natural frequencies of vibration [10,11]. Layer-wise method [12], shear deformation theory [13], and other modified plate theories [14] were presented by researchers to derive and solve the equations of motion for sandwich plates.…”

Section: Introductionmentioning

confidence: 99%

Modal Analysis of Specific Composite Sandwich Structures

Al-Khazraji¹,

Bakhy²,

Jweeg³

2022

ETJ

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“…Flexibility in the choice of this auxiliary parameter as well as linear operator and initial guess is another great advantage of the method. The Homotopy Analysis Method has been successfully applied to solve many problems in biology [26][27][28], chemistry [29][30][31], physics [32][33][34], optimal control theory [35][36][37], fluid mechanics [38][39][40][41], and solid mechanics [42][43][44]. More specifically, HAM successfully solved static and dynamic problems of isotropic beams.…”

Section: Introductionmentioning

confidence: 99%

Static analysis of composite beams on variable stiffness elastic foundations by the Homotopy Analysis Method

Doeva

Masjedi

2021

Acta Mech

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New analytical solutions for the static deflection of anisotropic composite beams resting on variable stiffness elastic foundations are obtained by the means of the Homotopy Analysis Method (HAM). The method provides a closed-form series solution for the problem described by a non-homogeneous system of coupled ordinary differential equations with constant coefficients and one variable coefficient reflecting variable stiffness elastic foundation. Analytical solutions are obtained based on two different algorithms, namely conventional HAM and iterative HAM (iHAM). To investigate the computational efficiency and convergence of HAM solutions, the preliminary studies are performed for a composite beam without elastic foundation under the action of transverse uniformly distributed loads considering three different types of stacking sequence which provide different levels and types of anisotropy. It is shown that applying the iterative approach results in better convergence of the solution compared with conventional HAM for the same level of accuracy. Then, analytical solutions are developed for composite beams on elastic foundations. New analytical results based on HAM are presented for the static deflection of composite beams resting on variable stiffness elastic foundations. Results are compared to those reported in the literature and those obtained by the Chebyshev Collocation Method in order to verify the validity and accuracy of the method. Numerical experiments reveal the accuracy and efficiency of the Homotopy Analysis Method in static beam problems.

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Double‐mode modeling of nonlinear flexural vibration analysis for a symmetric rectangular honeycomb sandwich thin panel by the homotopy analysis method

Cited by 6 publications

References 28 publications

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

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

Modal Analysis of Specific Composite Sandwich Structures

Static analysis of composite beams on variable stiffness elastic foundations by the Homotopy Analysis Method

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