A three-dimensional solution for free vibration of FGP-GPLRC cylindrical shells resting on elastic foundations: a comparative and parametric study

Qin, Bin; Wang, Qingshan; Zhong, Rui; Zhao, Xingzhuang; Shuai, Cijun

doi:10.1016/j.ijmecsci.2020.105896

Cited by 44 publications

(8 citation statements)

References 45 publications

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“…This theory provides an accurate, efficient and versatile analytical method for vibration analysis and design of rigidflexible structures. The theory is also expected to be extended to other analytical vibrational models such as membranes [72] , plates [73][74][75][76][77][78] , shells [79][80][81] , solids [82] for the vibration and buckling analysis [83,84] by using associated techniques, e.g., [85][86][87] . Besides, the analytical nature of this proposed method facilitates the consideration of uncertainties that may occur during the manufacturing and assembly procedure, such as the uncertainties in rigid bodies (mass, rotatory inertia), the beam sections [88][89][90] (Young's modulus, density, cross section and etc), their connections (relative positions) and more complex engineering problems [91] .…”

Section: Discussionmentioning

confidence: 99%

An exact dynamic stiffness method for multibody systems consisting of beams and rigid-bodies

Xiang

Sun

Banerjee

et al. 2021

Mechanical Systems and Signal Processing

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An exact dynamic stiffness method is proposed for the free vibration analysis of multi-body systems consisting of flexible beams and rigid bodies. The theory is sufficiently general in that the rigid bodies can be of any shape or size, but importantly, the theory permits connections of the rigid bodies to any number beams at any arbitrary points and oriented at any arbitrary angles. For beam members, a range of theories including the Bernoulli-Euler and Timoshenko theories are applied. The assembly procedure for the beam and rigid body properties is simplified without resorting to matrix inversion. The difficulty generally encountered in computing the problematic J0 count when applying the Wittrick-Williams algorithm for modal analysis has been overcome. Applications of different beam theories for both axial and bending vibrations have enabled the examination of the role played by rigid-body parameters on the multibody system's dynamic behaviour. Some exact benchmark results are provided and compared with published results and with finite element solutions. This research provides an exact and highly efficient analysis tool for multibody system dynamics which is for the free vibration analysis, ideally suited for optimization and inverse problems such as modal parameter identification.

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Section: Discussionmentioning

confidence: 99%

An exact dynamic stiffness method for multibody systems consisting of beams and rigid-bodies

Xiang

Sun

Banerjee

et al. 2021

Mechanical Systems and Signal Processing

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“…Therefore, these geometrical parameters are considered while determining the effective properties of the nanocomposites by using the well-known Halpin-Tsai (HT) model (Guzmán de Villoria and Miravete, 2007;Zhang et al, 2020). The graphene-based nanocomposites are assumed (Qin et al, 2020) by introducing the graphene or its different derivatives into epoxy matrix; the modulus of the composite can be formulated as follows:…”

Section: Halpin-tsai (Ht) Modelmentioning

confidence: 99%

Probing the prediction of effective properties for composite materials

Shingare

Naskar

2021

European Journal of Mechanics - A/Solids

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“…Based on Fourier series Expansion and state space technique, Alibeigloo [18] presented an analytical solution for the thermoelastic behavior of composite cylindrical shells subject to a uniform temperature and reinforced with functionally-graded dispersal of GPLs. Qin et al [19], based on three-dimensional theory and the Rayleigh-Ritz method, inspected the influence of porosity distribution, FG GPL distribution, and various elastic foundations on the vibration behavior of a thick reinforced composite cylindrical shell. The free vibration analysis of laminated shallow shells, including FG distributions of GPL reinforcements, was done by Qin et al [20].…”

Section: Introductionmentioning

confidence: 99%

Acoustic insulation characteristics improvement of a thick CNT-reinforced doubly-curved shell by using GPLRC and MEE composite layers

Ghassabi¹,

Talebitooti²

2023

Smart Mater. Struct.

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Noise reduction in structures and human living environments is one of the most important issues in engineering that is always given special attention. Sound insulation has always been improved using different methods, one of which is to use the properties of materials. Herewith, the aim of this paper is to take advantage of graphene-platelet reinforced composites (GPLRCs) and magneto-electro-elastic (MEE) material properties for sound attenuation. The present paper deals with the analysis of sound transmission loss (STL) through a three-layer sandwich doubly-curved shell where an MEE sheet is integrated with two nanocomposite sheets. In addition, these two nanocomposite sheets are reinforced by functionally graded (FG) distributions of CNT and GPL-reinforced composites, respectively. Firstly, the three-dimensional elasticity theory is employed to derive the governing equations of motion. Then, the vibroacoustic analysis for the resultant equations is completed according to the state space and transfer matrix method. Comparing the obtained results with the available literature discloses that the offered procedure has a high precision for structural acoustic problems. In the next step, in addition to inspecting two kinds of MEE composites, the effective parameters, such as layup configuration, FG distribution, volume fraction, weight fraction, radii of curvature, electromagnetic boundary conditions, and interphase thickness, are assessed on the STL. This assessment shows that the parameters involved in this paper are highly interdependent. Accordingly, the analysis of these parameters is done simultaneously with the aid of three- and four-dimensional plots in order that the optimal value for each parameter can be realized. As seen clearly in the outcomes, the electromagnetic boundary conditions parameters, compared to the other parameters, can much more alter the STL trend, so that a slight change in electric potential results in great change in the STL.

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A three-dimensional solution for free vibration of FGP-GPLRC cylindrical shells resting on elastic foundations: a comparative and parametric study

Cited by 44 publications

References 45 publications

An exact dynamic stiffness method for multibody systems consisting of beams and rigid-bodies

An exact dynamic stiffness method for multibody systems consisting of beams and rigid-bodies

Probing the prediction of effective properties for composite materials

Acoustic insulation characteristics improvement of a thick CNT-reinforced doubly-curved shell by using GPLRC and MEE composite layers

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