Vibrations of circular cylindrical shells: Theory and experiments

Pellicano, Francesco

doi:10.1016/j.jsv.2007.01.022

Cited by 154 publications

(90 citation statements)

References 16 publications

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“…An analysis of the SrB-system can be found in the paper by Pellicano (2007) who proposed a solution method based on the Sanders-Koiter theory as well as in the paper by Trotsenko (2006). We refer interested readers to these publications.…”

Section: Shell-beam (Sb) and Shell-rigid Body (Srb) Systemsmentioning

confidence: 99%

“…The current state-of-the-art on linear and nonlinear vibrations of a circular cylindrical shells with attached rigid 0020-7683/$ -see front matter Ó 2010 Elsevier Ltd. All rights reserved. doi:10.1016/j.ijsolstr.2010.03.021 bodies can be found in the paper by Pellicano (2007) who proposed a solution method based on the Sanders-Koiter theory. Pellicano (2007) has also considered different boundary conditions as well as types of coupling with rigid bodies.…”

Section: Introductionmentioning

confidence: 99%

“…doi:10.1016/j.ijsolstr.2010.03.021 bodies can be found in the paper by Pellicano (2007) who proposed a solution method based on the Sanders-Koiter theory. Pellicano (2007) has also considered different boundary conditions as well as types of coupling with rigid bodies. His results were supported by model tests.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Eigenoscillations of three- and two-element flexible systems

Gavrilyuk¹,

Hermann²,

Trotsenko³

et al. 2010

International Journal of Solids and Structures

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a b s t r a c tEigenfrequencies and eigenmodes of composite mechanical systems consisting of a thin-walled cylindrical shell and elastic beams [beam-shell-beam (BSB), beam-beam-beam (BBB), etc. systems] are described by using semi-analytical methods. The methods are less universal comparing with the Finite Element Method, but they are very accurate and CPU-efficient, and they could have advantages in studying multicomponent structures. A comparative analysis of eigenfrequencies and eigenmodes of the considered composite systems versus characteristic geometric dimensions is presented.

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Section: Shell-beam (Sb) and Shell-rigid Body (Srb) Systemsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Eigenoscillations of three- and two-element flexible systems

Gavrilyuk¹,

Hermann²,

Trotsenko³

et al. 2010

International Journal of Solids and Structures

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show abstract

“…Therefore, vibration analysis of the shells with variable thickness has attracted the attention of many researchers in recent years. Zhang et al (2001) and Pellicano (2007) studied vibration behavior of the shells incorporating circular profile and uniform thickness. A few other researchers have also studied vibration response of noncircular shells, among them are Srinivasan and Bobby (1976), Cheung and Cheung (1972) and Yamada et al (1999).…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of orthtropic thin cylindrical shells with variable thickness by using spline functions

Ataabadi

Khedmati

Ataabadi

2014

Lat. Am. j. solids struct.

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In this study, vibration behavior of orthotropic cylindrical shells with variable thickness is investigated. Based on linear shell theory and applying energy method and using spline functions, free vibration relations are derived for shell with variable thickness and curvature. Frequency parameter and mode shapes are found after solving the frequency Eigenvalue equation. Effects of variable thickness along axial and circumferential directions of the shell on its frequency parameter are studied and compared against each other. Shell thickness is assumed to be varied in a parabolic profile along both directions. Also, frequency parameters for both circular and parabolic curvatures along circumferential direction are investigated and results are compared together. In addition, effect of variable thickness on the mode shapes is studied.

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“…The stress-function approach is, however, less straightforward for the case when the boundary conditions involve the in-plane displacements (as considered here). Another approach which allows to include the effect of in-plane inertia and satisfying exactly the in-plane boundary conditions, is to discretize all three displacement fields using global shape functions (Amabili, 2003a;Amabili, 2003b;Pellicano and Amabili, 2006;Pellicano, 2007). A drawback of this approach, however, is that the resulting models have relatively many degrees of freedom.…”

Section: Introductionmentioning

confidence: 99%

Dynamic stability of a thin cylindrical shell with top mass subjected to harmonic base-acceleration

Mallon

Fey

Nijmeijer

2008

International Journal of Solids and Structures

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This paper considers the dynamic stability of a harmonically base-excited cylindrical shell carrying a top mass. Based on Donnell's nonlinear shell theory, a semi-analytical model is derived which exactly satisfies the (in-plane) boundary conditions. This model is numerically validated through a comparison with static and modal analysis results obtained using finite element modelling. The steady-state nonlinear dynamics of the base-excited cylindrical shell with top mass are examined using both numerical continuation of periodic solutions and standard numerical time integration. In these dynamic analyses the cylindrical shell is preloaded by the weight of the top mass. This preloading results in a single unbuckled stable static equilibrium state. A critical value for the amplitude of the harmonic base-excitation is determined. Above this critical value, the shell may exhibit a non-stationary beating type of response with severe out-of-plane deformations. However, depending on the considered imperfection and circumferential wave number, also other types of post-critical behaviour are observed. Similar as for the static buckling case, the critical value highly depends on the initial imperfections present in the shell.

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Vibrations of circular cylindrical shells: Theory and experiments

Cited by 154 publications

References 16 publications

Eigenoscillations of three- and two-element flexible systems

Eigenoscillations of three- and two-element flexible systems

Free vibration analysis of orthtropic thin cylindrical shells with variable thickness by using spline functions

Dynamic stability of a thin cylindrical shell with top mass subjected to harmonic base-acceleration

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