On the investigation of free vibrations of nonthin cylindrical shells of variable thickness by the spline-collocation method

Grigorenko, А. Ya.; Efimova, T. L.; Sokolova, L. V.

doi:10.1007/s10958-012-0702-x

Cited by 7 publications

(3 citation statements)

References 6 publications

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“…The governing equations were extracted in matrix form and they have been solved by employing fourthorder Runge-Kutta method. Grigorenko et al [9] investigated the dynamic behavior of open cylindrical shells with variable thickness using the spline-collocation method and the method of discrete orthogonalization. Bahrami Ataabadi et al [10] studied the vibrational behavior of orthotropic cylindrical shells with variable thickness.…”

Section: Introductionmentioning

confidence: 99%

Structural Dynamic Modification of Cylindrical Shells With Variable Thickness

Nasrekani¹,

Kumar²,

Narayan³

2021

Preprint

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In this paper, the effects of some geometrical parameters on dynamic behavior of cylindrical shells with constant and variable thickness are studied. The equation of motion for the shell with constant thickness is extracted based on classical shell theory using Hamilton's principle. These equations which are a system of coupled partial differential equations are solved analytically and the natural frequency is determined for cylindrical shells with constant thickness. The natural frequency for cylindrical shells with variable thickness is determined using finite element method by employing ANSYS. The results are compared and the effect of different geometric parameters such as length, thickness, and radius on natural frequency is discussed. The specific ranges for geometric parameters have been determined in which there is no significant difference between shells with constant or variable thickness. Cylindrical shells with variable thickness have better stress and strain distribution and optimum weight, in compare with the shells with constant thickness and it is important to know in which ranges of dimensions and geometrical parameters, there are some significant differences between their mechanical properties such as natural frequency. The results are compared with some other references.

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Section: Introductionmentioning

confidence: 99%

Structural Dynamic Modification of Cylindrical Shells With Variable Thickness

Nasrekani¹,

Kumar²,

Narayan³

2021

Preprint

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show abstract

Section: Introductionmentioning

confidence: 99%

Structural Dynamic Modification of Cylindrical Shells With Variable Thickness

Nasrekani

Kumar

Narayan

2020

Volume 3: Design and Analysis

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In this paper, the effects of some geometrical parameters on dynamic behavior of cylindrical shells with constant and variable thickness are studied. The equation of motion for the shell with constant thickness is extracted based on classical shell theory using Hamilton’s principle. These equations which are a system of coupled partial differential equations are solved analytically and the natural frequency is determined for cylindrical shells with constant thickness. The natural frequency for cylindrical shells with variable thickness is determined using finite element method by employing ANSYS. The results are compared and the effect of different geometric parameters such as length, thickness, and radius on natural frequency is discussed. The specific ranges for geometric parameters have been determined in which there is no significant difference between shells with constant or variable thickness. Cylindrical shells with variable thickness have better stress and strain distribution and optimum weight, in compare with the shells with constant thickness and it is important to know in which ranges of dimensions and geometrical parameters, there are some significant differences between their mechanical properties such as natural frequency. The results are compared with some other references.

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“…A spline strip method was adopted in studying the vibration of cross-ply laminated cylindrical shells [11]. Bickley-type spline method was applied to analyse the frequencies of free vibration of cylindrical shell [12–15]. Besides that, a spline-based differential quadrature method was used by Javidpoor et al [16] and Ghasemi [17].…”

Section: Introductionmentioning

confidence: 99%

Vibration of symmetrically layered angle-ply cylindrical shells filled with fluid

Daud

Viswanathan

2019

PLoS ONE

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Vibrational behaviour of symmetric angle-ply layered circular cylindrical shell filled with quiescent fluid is presented. The equations of motion of cylindrical shell in terms of stress and moment resultants are derived from the first order shear deformation theory. Irrotational of inviscid fluid are expressed as the wave equation. These two equations are coupled. Strain-displacement relations and stress-strain relations are adopted into the equations of motion to obtain the differential equations with displacements and rotational functions. A system of ordinary differential equation is obtained in one variable by assuming the functions in separable form. Spline of order three is applied to approximate the displacement and rotational functions, together with boundary conditions, to get a generalised eigenvalue problem. The eigenvalue problem is solved for eigen frequency parameter and associate eigenvectors of spline coefficients. The study of frequency parameters are analysed using the parameters the thickness ratio, length ratio, angle-ply, properties of material and number of layers under different boundary conditions.

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On the investigation of free vibrations of nonthin cylindrical shells of variable thickness by the spline-collocation method

Cited by 7 publications

References 6 publications

Structural Dynamic Modification of Cylindrical Shells With Variable Thickness

Structural Dynamic Modification of Cylindrical Shells With Variable Thickness

Structural Dynamic Modification of Cylindrical Shells With Variable Thickness

Vibration of symmetrically layered angle-ply cylindrical shells filled with fluid

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