Stability and vibration of empty and fluid-filled circular cylindrical shells under static and periodic axial loads

Pellicano, Francesco; Amabili, Marco

doi:10.1016/s0020-7683(03)00120-3

Cited by 86 publications

(53 citation statements)

References 29 publications

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“…From Figure 5(a) and (b), it is observed that in both the cases, without fluid and with fluid for L=R and h=R, the value of ring support a = 0.3L which is sandwich between a = 0.5L, L. It is seen that the influences of ring supports and fluid terms are converse to each other. The ring supports increase the frequencies whereas the fluid loaded terms lower them [32][33][34].…”

Section: Frequency Analysis Of Fluid-filled Cylindrical Shells With Rmentioning

confidence: 99%

“…In Figure 6 From the previous data, the shell frequencies are affected highly as the fluid quantities [11,[31][32][33][34][35] and ring supports are appended [2,5,27,36]. A beam type vibration of CSs crops up when the addition of ring supports are made.…”

Section: Frequency Analysis Of Empty and Fluid-filled Cylindrical Shementioning

confidence: 99%

“…A beam type vibration of CSs crops up when the addition of ring supports are made. [11,[32][33][34]. It is concluded that the maximum point and other relative value of C-II are bit smaller than that of corresponding value of C-I.…”

Section: Frequency Analysis Of Empty and Fluid-filled Cylindrical Shementioning

confidence: 99%

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Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports

Hussain¹,

Shahzad²,

He³

2018

Computational Fluid Dynamics - Basic Instruments and Applications in Science

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Vibration analysis of fluid-filled functionally graded material (FGM) cylindrical shells (CSs) is investigated with ring supports. The shell problem is formulated by deriving strain and kinetic energies of a vibrating cylindrical shell (CS). The method of variations of Hamiltonian principle is utilized to change the shell integral problem into the differential equation (DE) expression. Three differential equations (DE) in three unknown for displacement functions form a system of partial differential equations (PDEs). The shells are restricted along the thickness direction by ring supports. The polynomial functions describe the influence of the ring supports and have the degree equal to the number of ring supports.

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Section: Frequency Analysis Of Fluid-filled Cylindrical Shells With Rmentioning

confidence: 99%

Section: Frequency Analysis Of Empty and Fluid-filled Cylindrical Shementioning

confidence: 99%

See 1 more Smart Citation

Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports

Hussain¹,

Shahzad²,

He³

2018

Computational Fluid Dynamics - Basic Instruments and Applications in Science

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“…Thus, the application of Hamilton's principie is simplified and the resulting set of equations is linear, which can be expressed after some manipulation in the usual matrix form: (20) where d is the column matrix ofthe coefficients and 1< and M are the stiffness and mass matrices, respectively. lt should be noted that matrix 1< includes the effect ofaxialloads.…”

Section: Axially Prestressed Cylinders: Geometrically Nonlinear Strainmentioning

confidence: 99%

“…an the other hand, a linear strain-displacement relationship is used to calculate the strain energy due to the small-amplitude flexural vibration superimposed on the axial prestress. ather authors, for instance Pellicano and Amabili [20], have studied the vibration of thin cylindrical shells under axialloads but a different procedure based on Donnell's nonlinear shallow-shell theory is used. Moreover, this analysis is two-dimensional.…”

Section: Introductionmentioning

confidence: 99%

On the flexural vibration of cylinders under axial loads: Numerical and experimental study

Bayón

Gascón

Ferro

et al. 2012

Journal of Sound and Vibration

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AB5TRACTThe flexural vibration of a homogeneous isotropic linearly elastic cylinder of any aspect ratio is analysed in this paper. Natural frequencies of a cylinder under uniformly distributed axialloads acting on its bases are calculated numerically by the Ritz method with terms ofpower series in the coordinate directions as approximating functions. The effect ofaxial loads on the flexural vibration cannot be described by applying infinitesimal strain theory, therefore, geometrically nonlinear strain-displacement relations with second-order terms are considered here. The natural frequencies of free-free, clamped-clamped, and sliding-sliding cylinders subjected to axial loads are calculated using the proposed three-dimensional Ritz approach and are compared with those obtained with the finite element method and the Bernoulli-Euler theory. Different experiments with cylinders axially compressed by a hydraulic press are carried out and the experimental results for the lowest flexural frequency are compared with the numerical results. An approach based on the Ritz formulation is proposed for the flexural vibration of a cylinder between the platens of the press with constraints varying with the intensity of the compression. The results show that for low compressions the cylinder behaves similarly to a sliding-sliding cylinder, whereas for high compressions the cylinder vibrates as a clamped-clamped one.

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Nonlinear resonance responses of size-dependent functionally graded cylindrical microshells with thermal effect and elastic medium

Sheng

Wang

2020

Engineering with Computers

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Stability and vibration of empty and fluid-filled circular cylindrical shells under static and periodic axial loads

Cited by 86 publications

References 29 publications

Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports

Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports

On the flexural vibration of cylinders under axial loads: Numerical and experimental study

Nonlinear resonance responses of size-dependent functionally graded cylindrical microshells with thermal effect and elastic medium

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