Nonlinear free vibration of graded graphene reinforced cylindrical shells: Effects of spinning motion and axial load

Dong, Youheng; Zhu, Bin; Wang, Yu; Li, Y.H.; Yang, Jie

doi:10.1016/j.jsv.2018.08.036

Cited by 125 publications

(30 citation statements)

References 48 publications

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“…(10) is regulated to have same total mass fraction of GNPs for all patterns [4]. The set of the governing equations can be derived using Hamilton's principle as [10] where [t 1 ,t 2 ] is a desired time interval, δ stands for variational operator, T indicates to kinetic energy, W n.c. is work done by non-conservative loads, U e stands for the strain energy of the shell and U h indicates the strain energy generated by initial hoop tension.…”

Section: Governing Equationsmentioning

confidence: 99%

“…They discussed on the effect of initial hoop tension on the natural frequencies of the rotating cylindrical shells and concluded that initial hoop tension makes the critical rotating speed vanishes in some modes. Dong et al [10] presented an analytical solution on linear and nonlinear free vibration analysis and dynamic responses of rotating FG GNP-reinforced cylindrical shells with various boundary conditions and subjected to a static axial load. They showed that subjoining a small amount of GNPs increases both linear and nonlinear frequencies and reduces the nonlinear to linear frequency ratio.…”

Section: Introductionmentioning

confidence: 99%

“…Effects of various geometrical parameters of the shell and distribution pattern, mass fraction and dimensional parameters of the GNPs on the forward and backward frequencies are investigated. In most of the papers regarding vibration analysis of rotating shells, the initial hoop tension is modeled based on the classical shells theories, and recently, some authors have modeled the initial hoop tension in rotating cylindrical shells based on the FSDT [9][10][11][12]. To the best knowledge of author, this paper is the first attempt to model the initial hoop tension in a rotating conical shell modeled based on the FSDT.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Effect of graphene nanoplatelet reinforcements on the dynamics of rotating truncated conical shells

Afshari

2020

J Braz. Soc. Mech. Sci. Eng.

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In this paper, a parametric study is presented for free vibration analysis of rotating truncated conical shells reinforced with graphene nanoplatelets (GNPs). The composite shell is considered to be composed of epoxy as the matrix and the GNPs which are distributed along the thickness direction based on the various distribution patterns. The shell is modeled based on the first-order shear deformation theory (FSDT), and effective material properties are calculated based on the Halpin-Tsai model and the rule of mixture. Incorporating centrifugal and Coriolis accelerations along with initial hoop tension, the set of the governing equations and boundary conditions are derived using Hamilton's principle and are solved numerically using generalized differential quadrature method. Convergence and accuracy of the presented solution are confirmed, and influences of various parameters on the forward and backward frequencies are investigated including circumferential mode number, boundary conditions, rotational speed, semi-vertex angle and also mass fraction, distribution pattern, width and thickness of the GNPs. It is noteworthy that for the first time, the initial hoop tension is incorporated for a rotating conical shell modeled based on the FSDT.

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Section: Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Effect of graphene nanoplatelet reinforcements on the dynamics of rotating truncated conical shells

Afshari

2020

J Braz. Soc. Mech. Sci. Eng.

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show abstract

“…Nonlinear free and forced vibrations of beams are investigated in [44]. Nonlinear free vibrations of shells are analysed in [45]. Nonlinear free vibrations of plates are investigated in [46].…”

Section: Introductionmentioning

confidence: 99%

Vibroimpact mechanism in one separate case

Ragulskis¹,

Ragulskis²

2019

Math. models, eng.

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It is known that in the vibroimpact system at the chosen values of parameters linear relationship between impact velocities and eigenfrequencies may exist. The purpose of this paper is to reveal the qualities of the systems of this type. Investigations are performed by analytical and numerical methods. It is determined that in the systems of this type nonlinear solutions with infinite series of harmonics exist. Multivalued stable and unstable regimes do not exist in the systems. The obtained analytical relationships enabled to reveal new qualities of the systems and to make useful conclusions. Keywords: characteristics of impact velocity and eigenfrequencies, free and decaying vibrations, phase trajectories of motions, harmonics of motions up to infinity.

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“…e blank does not damage the metal grains under the strong spin forming, and the metal fibers can be maintained. Its continuity and integrity improve the material and mechanical properties of the cylindrical part, making its performance much higher than that of the ribbed shell produced by milling, while achieving a high surface finish [3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Spinning Process Test and Optical Topography Measurement Technology for the Shell with Longitudinal and Latitudinal Inner Ribs

Liang

Guan

et al. 2019

Advances in Materials Science and Engineering

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The paper studies the complicated problem in the spinning process of the shell with longitudinal and latitudinal inner ribs. The finite element software ABAQUS is used to establish the finite element model of the cylindrical shell with the longitudinal and latitudinal inner ribs. The numerical simulation of the spinning process is carried out. The stress distribution and strain distribution of the inner and outer surfaces during the spin-forming process are determined, and the orthogonal test method is used to determine the optimization process test parameters. The influence of the main process parameters on the wall thickness difference of the inner rib shell is obtained by the range analysis: wall thickness reduction rate > rotary wheel feed speed > rotor working angle (arranging according to their influences). And then the corresponding process parameters recommended by the spinning test are given. The measurement problem of inner ribs is solved by building of the robot shape measurement system which helps detect the three-dimensional shape of the inner ribs, and the precision of the spun sample was detected by the point cloud deviation comparison.

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Nonlinear free vibration of graded graphene reinforced cylindrical shells: Effects of spinning motion and axial load

Cited by 125 publications

References 48 publications

Effect of graphene nanoplatelet reinforcements on the dynamics of rotating truncated conical shells

Effect of graphene nanoplatelet reinforcements on the dynamics of rotating truncated conical shells

Vibroimpact mechanism in one separate case

Spinning Process Test and Optical Topography Measurement Technology for the Shell with Longitudinal and Latitudinal Inner Ribs

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