Vibration of cylindrical shells with ring support

Loy, C.T.; Lam, K.Y.

doi:10.1016/s0020-7403(96)00035-5

Cited by 66 publications

(31 citation statements)

References 12 publications

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“…1). The radius R of the cylindrical shell is w (2) w (3) w (4) w (6) w (5) taken as the characteristic size. After the separation of variables the non-dimensional equations describing free vibrations of a cylindrical shell can be written in the following form…”

Section: Basic Equationsmentioning

confidence: 99%

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Low-Frequency Vibrations of Thin Cylindrical Shell Stiffened by Rings With T-Shaped Cross-Section

Filippov¹

2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. Small free low-frequency vibrations of a thin elastic cylindrical shell stiffened by the rings with T-shaped cross-section are analyzed. The narrow rings are considered as circular beams. The wide rings are treated as annular plates stiffened at one edge by a circular beam. In the both cases problem is reduced to solution of the eigenvalue problem for systems of linear differential equations containing a small parameter. By means of various asymptoticapproaches simple approximate formulas for the low frequencies are obtained. These formulas are used for the evaluation of optimal parameters corresponding to the maximal fundamental frequency of the ring-stiffened shell with a given mass.

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Section: Basic Equationsmentioning

confidence: 99%

“…The vibrations of the shell stiffened by the rings with rectangular cross-sections are sufficiently well studied e.g. in [3], [4], [5] and [6]. In this paper the shell stiffened by rings with T-shape cross-sections is considered.…”

Section: Introductionmentioning

confidence: 99%

Low-Frequency Vibrations of Thin Cylindrical Shell Stiffened by Rings With T-Shaped Cross-Section

Filippov¹

2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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“…They adopted an automated Rayleigh-Ritz method to evaluate the natural frequencies and the mode shapes of shells. Loy and Lam [12] studied the vibration of thin cylindrical shell with ring supports. The study was carried out using Sander's shell theory.…”

Section: Isrn Mechanical Engineeringmentioning

confidence: 99%

Vibration Characteristics of Ring-Stiffened Functionally Graded Circular Cylindrical Shells

Naeem

Kanwal

Shah³

et al. 2012

ISRN Mechanical Engineering

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The vibration characteristics of ring stiffened cylindrical shells are analyzed. These shells are assumed to be structured from functionally graded materials (FGM) and are stiffened with isotropic rings. The problem is formulated by coupling the expressions for strain and kinetic energies of a circular cylindrical shell with those for rings. The Lagrangian function is framed by taking difference of strain and kinetic energies. The Rayleigh-Ritz approach is employed to obtain shell dynamical equations. The axial model dependence is approximated by characteristic beam functions that satisfy the boundary conditions. The validity and efficiency of the present technique are verified by comparisons of present results with the previous ones determined by other researchers.

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“…A simple variational technique was applied to give a cubic frequency equation. Loy and Lam [16] studied the vibration of thin cylindrical shells with ring supports, placed along the shell length and which imposed a zero lateral deflection. The study was carried out using Sander's shell theory.…”

Section: Introductionmentioning

confidence: 99%

Vibration of Three-Layered FGM Cylindrical Shells with Middle Layer of Isotropic Material for Various Boundary Conditions

Khan¹,

Arshad²,

Shah³

et al. 2014

WJM

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In the present study, vibration analysis of a three-layered cylindrical shell is performed whose inner and outer layers are composed of functionally graded materials whereas the middle one is assumed to be of isotropic material. This formation of a cylindrical shell influences stiffness modulii and the resultant material properties. The shell problem is formulated from the constitutive relations of stresses and strains with the displacement deformations and they are taken from Love's thin shell theory. This problem is transformed into the integral form by evaluating the expressions for the strain and kinetic energies of the shell. Rayleigh-Ritz method is employed to solve the shell dynamic equations. Vibration characteristics of these cylindrical shells are investigated for a number of physical parameters and configurations of the fabrication of shells. The axial modal dependence is approximated by the characteristic beam functions that satisfy the boundary conditions. Results evaluated, show good agreement with the open literature.

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Vibration of cylindrical shells with ring support

Cited by 66 publications

References 12 publications

Low-Frequency Vibrations of Thin Cylindrical Shell Stiffened by Rings With T-Shaped Cross-Section

Low-Frequency Vibrations of Thin Cylindrical Shell Stiffened by Rings With T-Shaped Cross-Section

Vibration Characteristics of Ring-Stiffened Functionally Graded Circular Cylindrical Shells

Vibration of Three-Layered FGM Cylindrical Shells with Middle Layer of Isotropic Material for Various Boundary Conditions

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