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Journal ArticleDOI

Free vibration of circular cylindrical shells with axially varying thickness

22 May 1991-Journal of Sound and Vibration (Academic Press)-Vol. 147, Iss: 1, pp 73-85
TL;DR: In this article, a semi-analytical finite element analysis is presented for determining the natural frequencies of thin circular isotropic cylindrical shells with variable thickness, where Love's first approximation shell theory is used to solve the problem.
About: This article is published in Journal of Sound and Vibration.The article was published on 1991-05-22. It has received 40 citations till now. The article focuses on the topics: Isotropy & Axial symmetry.
Citations
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Journal ArticleDOI
TL;DR: In this article, the exact solutions for the vibration of circular cylindrical shells with step-wise thickness variations in the axial direction were presented, where the shell is sub-divided into multiple segments at the locations of thickness variations.

56 citations

Journal ArticleDOI
TL;DR: In this paper, a parametric study examines the effects of varying the geometry, degree of thickness taper and end conditions on the natural frequencies and mode shapes, providing benchmark results for designers and future researchers.

35 citations

Journal ArticleDOI
TL;DR: In this article, a wave-based method is presented to analyze the free and forced vibration of cylindrical shells with discontinuity in thickness, where the hull is first divided into multiple segments according to the locations of thickness discontinuity and/or driving points.
Abstract: Wave based method (WBM) is presented to analyze the free and forced vibration of cylindrical shells with discontinuity in thickness. The hull is first divided into multiple segments according to the locations of thickness discontinuity and/or driving points, and then the Flugge theory is adopted to describe the motion of cylindrical segments. The dynamic field variables in each segment are expressed as wave function expansions, which accurately satisfy the equations of motion and can be used to analyze arbitrary boundary conditions, e.g., classical or elastic boundary conditions. Finally, the boundary conditions and interface continuity conditions between adjacent segments are used to assemble the final governing equation to obtain the free and forced vibration results. By comparing with the results existing in open literate and calculated by finite element method (FEM), the present method WBM is verified. Furthermore, the influences of the boundary conditions and the locations of thickness discontinuity on the beam mode frequency and fundamental frequency are discussed. The effects of the direction of external force, location of external point force, and the structural damping on the forced vibration are also analyzed.

29 citations

Journal ArticleDOI
TL;DR: A semi-analytical procedure for free and forced vibration analysis of multi-stepped circular cylindrical shell with arbitrary boundary conditions is developed with the employment of the method of reverberation-ray matrix.
Abstract: A semi-analytical procedure for free and forced vibration analysis of multi-stepped circular cylindrical shell with arbitrary boundary conditions is developed with the employment of the method of reverberation-ray matrix. Based on the Flugge thin shell theory, the equations of motion of the circular cylindrical shell are introduced and exact solutions of the traveling wave form along the axial direction and the standing wave form along the circumferential direction are obtained for each segment of uniform shell. With such a unidirectional traveling wave form solution, the method of reverberation-ray matrix is adopted to calculate natural frequencies and steady-state responses of the multi-stepped circular cylindrical shell. Comparisons of the present results with those previously published in literature and those obtained by the finite element method prove that the method of reverberation-ray matrix is applicable and of high precision for free and forced vibration analysis of the multi-stepped circular cylindrical shell. Effects of elastic support stiffness and the number of steps on natural frequencies are investigated.

29 citations

References
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Journal ArticleDOI
TL;DR: A theoretical analysis for determining the free vibra tional characteristics of thin-walled, circular cylindrical shells with layers of anisotropic elastic material arbitrarily laminated.
Abstract: A theoretical analysis is presented for determining the free vibra tional characteristics of thin-walled, circular cylindrical shells with layers of anisotropic elastic material arbitrarily laminat...

127 citations

Journal ArticleDOI
TL;DR: In this paper, a semi-analytical approach for the vibration of conical and cylindrical shells has been proposed based on mass matrices, and good agreement has been found between theory and experiment for thin-walled circular cylinders and cones, a conecylinder combination, and a cooling tower model.
Abstract: Elemental mass matrices have been produced for the vibration of conical and cylindrical shells, based on a semi-analytical approach. Frequencies and modes of vibration have been compared with existing solutions and also with experimental results obtained from other sources. Good agreement has been found between theory and experiment for thin-walled circular cylinders and cones, a cone-cylinder combination, and a cooling tower model. A theoretical investigation was also made on the vibration of a circular cylinder when subjected to uniform pressure.

51 citations

Journal ArticleDOI
TL;DR: In this article, the authors used the Rayleigh-Ritz method to describe the vibrational properties of finite length circular cylinders with shear diaphragm ends and symmetric circumferential wall thickness variations.

41 citations

Journal ArticleDOI
TL;DR: In this paper, the authors defined the axial and circumferential coordinates of a shell and estimated the number of axial nodal circles not including the ends of the shell.
Abstract: E = modulus of elasticity p = mass density v = Poisson's ratio a = mean radius of shell L = length of shell h = thickness of shell x, 4> = axial and circumferential coordinates of shell t = time co = circular frequency m = number of circumferential waves around shell u, v, w = displacements of a point on the middle surface of the shell (axial, tangential, and radial, respectively) p = number of axial nodal circles not including the ends

41 citations

Journal ArticleDOI
TL;DR: In this paper, an exact solution procedure was developed for determining the free vibration frequencies and mode shapes of open non-circular cylindrical shells having circumferentially varying thickness and the two opposite, curved edges supported by shear diaphragms.

40 citations