Free and forced vibration characteristics of bimodular composite laminated circular cylindrical shells

Khan, Kallol; Patel, B.P.; Nath, Y.

doi:10.1016/j.compstruct.2015.02.022

Cited by 24 publications

(7 citation statements)

References 13 publications

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“…Forced vibration of low shell with classical boundary condition is also of concern for a long time. Based on first order shear deformation theory, Khan et al [9] performed the vibration analysis of clampedclamped cylindrical shells using finite element method. Qu et al [10] applied a domain decomposition technique to vibration problem of uniform and stepped cylindrical shells.…”

Section: Classical Approaches To Free and Forced Vibration Study Of Low Shellsmentioning

confidence: 99%

Dynamic Analysis of Folded Low Shells by Using Finite Element Analysis

Olodo

Ale

Adjovi

et al. 2020

CJAST

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Aims: This work is devoted to the development of a finite element algorithm for solving problem in forced vibrations of folded low shells. Methodology: The differential equations for harmonic analysis are obtained from the Lagrange variational principle. Description of the dynamic behavior is made by the structure discretization into a system of curvilinear iso-parametric finite elements used in modal analysis. The method is implemented by a calculation code on a square-plane folded shell model withnumber of crease edges in both directions k=l=3. Results: Displacement amplitudesare obtained by decomposition into vibration eigenforms. The maximum values of dynamic stresses are determined taking into account the shell's support conditions.The results of the harmonic analysis show thatimprovement in frequency characteristics and reduction of stresses in the folded shell depend on the constructive and internal damping of the structureand the increase in the number of fold edges k and l in both directions for examplebecause this contributes to decrease in the forced vibration amplitudes.

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Section: Classical Approaches To Free and Forced Vibration Study Of Low Shellsmentioning

confidence: 99%

Dynamic Analysis of Folded Low Shells by Using Finite Element Analysis

Olodo

Ale

Adjovi

et al. 2020

CJAST

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“…Considering von Kármán type of nonlinearity and using incremental harmonic balance (IHB) method, Dey and Ramachandra 30 studied the nonlinear transverse dynamic response of laminated composite simply supported circular cylindrical shell subjected to periodic radial point loading and static axial partial loading. Khan 31 investigated the free and forced vibration characteristics of bimodular cross-ply laminated clamped–clamped circular cylindrical shells, considering the first-order shear deformation theory. Amabili 32 studied the nonlinear damped forced vibration responses of simply supported laminated composite cylindrical shell based on higher order shear deformation theory.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of a thin eccentric rotating circular cylindrical shell

Yao

Zhang

2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this study, the vibration characteristics of a thin eccentric rotating circular cylindrical shell with simply supported boundary conditions are studied. Energy formulations based on Flügge’s thin shell theory, Hamilton’s principle, and the method of linear approximation are applied to derive the governing equations of motion. In addition to the effects of centrifugal and Coriolis forces, the effect of nonuniform initial stresses resulting from eccentric rotation are taken into account. The natural frequencies of the shell with respect to rotating speed and eccentricity are obtained using Galerkin’s method. To validate the present analysis, comparisons are carried out with the results in published literatures and finite element analysis, and good agreements are obtained. The effect of the eccentricity on the natural frequency of the eccentric rotating cylindrical shell is investigated. Some further numerical results are given to illustrate the irregular frequency mutation behaviors resulting from the eccentricity. The effects of the eccentricity on the critical speed and flutter speed of the eccentric rotating circular cylindrical shell are also investigated.

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“…Thus, the laminated composite structures, i.e. the laminated composite rectangular plates, [1][2][3][4][5][6][7][8][9][10][11][12][13][14] circular and annular plates, [15][16][17][18][19][20][21][22][23][24][25][26] sector plates, [27][28][29][30][31][32][33][34][35] shells [36][37][38][39][40][41][42][43][44][45][46][47][48][49] and so on, have a wide application in the practical engineering, such as aircraft, space vehicles, and military industries. Notably, these structures frequently work in complex environments and may suffer to arbitrary boundary restraints.…”

Section: Introductionmentioning

confidence: 99%

An improved Fourier series solution for the dynamic analysis of laminated composite annular, circular, and sector plate with general boundary conditions

Wang

Shi

Liang

et al. 2016

Journal of Composite Materials

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In this article, the authors presented a unified solution for the dynamic analysis of laminated composite annular, circular, and sector plate with general boundary conditions. The first-order shear deformation theory is employed to formulate the theoretical model. Regardless of the shapes of the plates and the types of boundary conditions, each displacement and rotation component of the elements is expanded as an improved Fourier series expansion which is composed of a double Fourier cosine series and several auxiliary functions introduced to eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and to accelerate the convergence of series representations. Since the displacement fields are constructed adequately smooth throughout the entire solution domain, an exact solution is obtained based on the Rayleigh–Ritz procedure by the energy functions of the plates. The accuracy, reliability, and versatility of the current solution is fully demonstrated and verified through numerical examples involving plates with various shapes and boundary conditions. Some new results of free vibration analysis for composite laminated annular sector plate, circular sector plate, annular plate, and circular plate are presented, which may be served as benchmark solution for future computational methods. The effects of the sector angles, layer numbers, and boundary spring stiffness on vibration characteristics of the plates are reported. In addition, the force vibration analysis of the plates is also studied. The influence of the boundary spring stiffness, layer number, orthotropic stiffness ration, and fiber orientation angle on dynamic characteristics of the plates is investigated.

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Free and forced vibration characteristics of bimodular composite laminated circular cylindrical shells

Cited by 24 publications

References 13 publications

Dynamic Analysis of Folded Low Shells by Using Finite Element Analysis

Dynamic Analysis of Folded Low Shells by Using Finite Element Analysis

Vibration analysis of a thin eccentric rotating circular cylindrical shell

An improved Fourier series solution for the dynamic analysis of laminated composite annular, circular, and sector plate with general boundary conditions

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