Free vibration of variable thickness FGM beam submerged in fluid

Li, Hui-Cui; Ke, Liao-Liang; Yang, Jie; Kitipornchai, S.; Wang, Yue‐Sheng

doi:10.1016/j.compstruct.2019.111582

Cited by 28 publications

(3 citation statements)

References 61 publications

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“…Furthermore, the experimental and numerical modal analysis conducted in Ref. [2,10,11] suggested that the coupling between the structure and fluid causes the structure to be affected by the fluid in terms of added mass distribution, damping force and elastic restoring force, and thus the vibration characteristics of the structure are changed. Therefore, the fluid-solid coupling vibration problem under the action of fluid is much more complicated than the vibration in the air.…”

Section: Introductionmentioning

confidence: 99%

Experimental study on vibration characteristics of fluid-solid coupling cantilever thin aluminum plate

Yinhanga¹,

Hanyanga²,

Meilingb³

et al. 2020

J. vibroeng.

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Compared with the general environment, the modal characteristics of structures under fluid-solid coupling will show great differences. Reasonable experimental methods can provide reliable conclusion support for fluid-solid coupling research. In order to explore the modal characteristics of structures under the action of fluids, the interference and finite element numerical calculation methods are used to study the dry and wet modal characteristics of the cantilever aluminum plate under fluid-solid coupling. According to the amplitude fluctuation resonance discrimination method, the resonant frequency and mode of the cantilever aluminum plate under different working conditions are obtained accurately. Experiments show that the effect of the fluid will greatly reduce the natural frequency of the structure and have little effect on the vibration mode. With the gradual increase of the fluid-solid coupling interface, the natural frequency drop rate and the amplitude at the gas-liquid interface remain consistent, and slightly ahead of the amplitude characteristics. At the same time, for each mode with the same characteristics, the frequency decreasing trend is linear, such as the first few pure bending vibration modes, and the first few bending and twisting combined vibration modes contain first-order twisting vibration. The experimental results and the finite element numerical results are in good agreement, which shows that the electronic speckle method is a good test method for studying fluid-solid coupling modes. Most importantly, the experimental conclusion has reliable reference value for practical engineering applications.

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Section: Introductionmentioning

confidence: 99%

Experimental study on vibration characteristics of fluid-solid coupling cantilever thin aluminum plate

Yinhanga¹,

Hanyanga²,

Meilingb³

et al. 2020

J. vibroeng.

View full text Add to dashboard Cite

show abstract

“…Shu [62] further developed some simple algebraic formulations to compute the weighting coefficients in a single domain and multi-domains and applied them into engineering fields. Due to the convenient and flexibility of the DQ method, some excellent results have been reported in a number of application studies [35,36,50,51,[63][64][65][66].…”

Section: Solution Proceduresmentioning

confidence: 99%

Vibrations of graphene nanoplatelet reinforced functionally gradient piezoelectric composite microplate based on nonlocal theory

Mao

Zhang

et al. 2020

Composite Structures

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“…Tornabene et al [33] used numerical method to solve the free vibration problem of functionally graded material sandwich structures with variable thickness. Li et al [34] studied the free vibration of a variable thickness beam made of FGMs in a fluid, and discussed the influence of fluid density, non-uniform parameters and other factors on the results. Based on the first-order shear deformation theory, Duc et al [35] used an analytical method to analyze the vibration and nonlinear dynamics of the sandwich laminate with variable thickness under thermal environments.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of three-layer thin cylindrical shell with variable thickness two-dimensional FGM middle layer under arbitrary boundary conditions

Miao

Jiang

et al. 2021

Jnl of Sandwich Structures & Materials

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In this paper, a unified method is developed to analyze free vibrations of the three-layer functionally graded cylindrical shell with non-uniform thickness. The middle layer is composed of two-dimensional functionally gradient materials (2D-FGMs), whose thickness is set as a function of smooth continuity. Four sets of artificial springs are assigned at the ends of the shells to satisfy the arbitrary boundary conditions. The Sanders’ shell theory is used to obtain the strain and curvature-displacement relations. Furthermore, the Chebyshev polynomials are selected as the admissible function to improve computational efficiency, and the equation of motion is derived by the Rayleigh–Ritz method. The effects of spring stiffness, volume fraction indexes, configuration on of shell, and the change in thickness of the middle layer on the modal characteristics of the new structural shell are also analyzed.

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Free vibration of variable thickness FGM beam submerged in fluid

Cited by 28 publications

References 61 publications

Experimental study on vibration characteristics of fluid-solid coupling cantilever thin aluminum plate

Experimental study on vibration characteristics of fluid-solid coupling cantilever thin aluminum plate

Vibrations of graphene nanoplatelet reinforced functionally gradient piezoelectric composite microplate based on nonlocal theory

Free vibration analysis of three-layer thin cylindrical shell with variable thickness two-dimensional FGM middle layer under arbitrary boundary conditions

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