Free vibration of layered cylindrical shells filled with fluid

Izyan, M.D. Nurul; Viswanathan, K. K.; Aziz, Zainal Abdul; Prabakar, Kandasamy

doi:10.1007/s10483-016-2089-6

Cited by 10 publications

(2 citation statements)

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“…Results showed that the spline approximation used a lower order approximation, which yields a better accuracy. There are numerous studies on the vibrational behavioral of shells with and without fluid using the spline method such as the vibration of layered cylindrical shells (using spline method) [13], the vibration of antisymmetric angle-ply composite annular plates of variable thickness [14], free vibration of angle-ply laminated conical shell with linear and exponential thickness variations [15], free vibration of layered cylindrical shells filled with fluid using Love's first approximation theory [16], free vibration of antisymmetric angle-ply layered circular cylindrical shells filled with a quiescent fluid under first order shear deformation theory [17], free vibration of cross-ply layered circular cylindrical shells filled with a quiescent fluid under first order shear deformation theory [18], free vibration of symmetrically layered angle-ply cylindrical shells filled with fluid under first order shear deformation theory (FSDT) [19].…”

Section: Introductionmentioning

confidence: 99%

Axisymmetric Free Vibration of Layered Cylindrical Shell Filled with Fluid

Izyan

Sabri

Hafizah

et al. 2021

International Journal of Applied Mechanics and Engineering

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The aim of the study is to analyse the axisymmetric free vibration of layered cylindrical shells filled with a quiescent fluid. The fluid is assumed to be incompressible and inviscid. The equations of axisymmetric vibrations of layered cylindrical shell filled with fluid, on the longitudinal and transverse displacement components are obtained using Love’s first approximation theory. The solutions of displacement functions are assumed in a separable form to obtain a system of coupled differential equations in terms of displacement functions. The displacement functions are approximated by Bickley-type splines. A generalized eigenvalue problem is obtained and solved numerically for a frequency parameter and an associated eigenvector of spline coefficients. Two layered shells with three different types of materials under clamped-clamped boundary conditions are considered. Parametric studies are made on the variation of the frequency parameter with respect to length-to-radius ratio and length-to-thickness ratio.

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Section: Introductionmentioning

confidence: 99%

Axisymmetric Free Vibration of Layered Cylindrical Shell Filled with Fluid

Izyan

Sabri

Hafizah

et al. 2021

International Journal of Applied Mechanics and Engineering

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“…The fluid considered as non-viscous and incompressible. In addition, spline method was applied to solve the free vibration of layered cylindrical shell filled with fluid using Love’s thin shell theory [36]. Nurul Izyan et al [37] applied the spline method in their analysis to determine the frequencies of anti-symmetric angle-ply laminated composite cylindrical shell filled with fluid.…”

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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