Dynamic stability and nonlinear parametric vibration of cylindrical shells

Kovtunov, V. B.

doi:10.1016/0045-7949(93)90175-d

Cited by 22 publications

(9 citation statements)

References 6 publications

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“…In their analysis, the static buckling of imperfect metallic and laminated cylinders under combination of axial compression and bending moment was investigated. The stress resultant acting on the ends of a cylinder is given by (1) where N& is the maximum load per unit circumference due to bending moment M = nR 2 N l , (2) and N c is the axial compression load per unit of circumference. The cylinder is under pure bending if N c =0 and under pure compression if N b =0.…”

Section: The Finite Element Methodsmentioning

confidence: 99%

Dynamic buckling of imperfect cylindrical shells under axial compression and bending moment

Huyan

Simitses

1996

37th Structure, Structural Dynamics and Materials Conference

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The dynamic stability of metallic and laminated cylindrical shells is investigated. The cylinders are geometrically imperfect and subjected to axial compression or pure bending moment. These loads are suddenly applied with constant magnitude and finite or infinite duration. The FEM is employed to generate dynamic responses and the equations of motion approach (Budiansky-Roth) to determine dynamic critical loads. The effects of load duration and imperfection amplitude on critical load are discussed. It is found that the dynamic critical loads decrease with increasing load duration and converge to those for the load case of infinite duration. The convergence rate is related to the fundamental frequency of the cylinder. In addition, both the static and dynamic critical loads decrease with increasing imperfection amplitude. (Author) Page 1 Downloaded by PURDUE UNIVERSITY on July 30, 2015 | http://arc.aiaa.org | 1. Abstract The dynamic stability of metallic and laminated cylindrical shells is investigated in this paper. The cylinders are geometrically imperfect and subjected to axial compression or pure bending moment. These loads are suddenly applied with constant magnitude and finite or infinite duration. The finite element method is employed to generate dynamic responses and the equations of motion approach(Budiansky-Roth) to determine dynamic critical loads. The effects of load duration and imperfection amplitude on critical load are discussed. It is found that the dynamic critical loads decrease with increasing load duration and converge to those for the load case of infinite duration. The convergence rate is related to the fundamental frequency of the cylinder. In addition, both the static and dynamic critical loads decrease with increasing imperfection amplitude. IntroductionThe problem of dynamic stability of cylindrical shells has been carried out by many researchers and it encompasses many classes of problems and many physical phenomena.Parametric resonance or parametric excitation 1 ' 3 , pulse buckling 4 " 6 , and solidfluid interaction 7 represent but a few subjects of these studies. See, for example, the review papers by Svalbonas and Kalnins 8 , Hsu 9 , and Simitses 10 .The dynamic buckling of cylindrical shells subjected to suddenly applied axial compression of constant magnitude and infinite duration was first studied by Volmir" where a two-degree-of-freedom system was obtained by Galerkin's method. Roth and Klosner 12 applied the potential energy method and treated the problem as a four-degree-of-freedom system which they studied numerically. Using the same model and the Budiansky-Roth 20 criterion, Tamura and Babcock 13 presented the dynamic critical load of an imperfect thin circular cylindrical shell. Their analysis included the effect of axial inertia and of an attached mass on the loaded edge of the shell. Moreover, they provided results for L/R=2 and R/h=1000 and various values of the initial imperfection, which were experimentally obtained.Based on their work, Simitses 14 investigated the effe...

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Section: The Finite Element Methodsmentioning

confidence: 99%

Dynamic buckling of imperfect cylindrical shells under axial compression and bending moment

Huyan

Simitses

1996

37th Structure, Structural Dynamics and Materials Conference

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“…The e!ect of initial geometric imperfections on large-amplitude vibrations of truncated conical shells subjected to pressure load has been investigated by Reseka and Helmy [111]. A mathematical model has been performed by means of the "nite-element method, and the method of generalized co-ordinates, by Kovtunov [112], for studying the dynamic stability and non-linear vibration parameters of ideal cylindrical shells, and cylindrical shells with added mass with regard to their geometrical non-linearity. The numerical methods suggested by the author have been realized in the software package STADYS (stability and dynamic of structures).…”

Section: Non-linear Vibrations With Complicating Factorsmentioning

confidence: 99%

Non-Linear Vibrations of Shell-Type Structures: A Review With Bibliography

Moussaoui¹,

Benamar²

2002

Journal of Sound and Vibration

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“…The study of free vibrational characteristics of cylindrical shells is comprehensive. Initially, researchers [1][2][3][4][5] investigated cylindrical shells using classic thin shell theories such as Donnell equations, Kennard equations, Flugge equations and Sander-Koiter equations. Harari, Sandman and Laulagnet were representative scholars in the field.…”

Section: Introductionmentioning

confidence: 99%

Untitled

2018

AAOAJ

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Based on the transfer matrix theory and precise integration method, the precise integration transfer matrix method (PITMM) is implemented to investigate the free vibrational characteristics of isotropic coupled conical-cylindrical shells. The influence on the boundary conditions, the shell thickness and the semi-vertex conical angle on the vibrational characteristics are discussed. Based on the Flugge thin shell theory and the transfer matrix method, the field transfer matrix of cylindrical and conical shells is obtained. Taking continuity conditions at the junction of the coupled conical-cylindrical shell into consideration, the field transfer matrix of the coupled shell is constructed. According to the boundary conditions at the ends of the coupled shell, the natural frequencies of the coupled shell are solved by the precise integration method. An approach for studying the free vibrational characteristics of isotropic coupled conical-cylindrical shells is obtained.

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Dynamic stability and nonlinear parametric vibration of cylindrical shells

Cited by 22 publications

References 6 publications

Dynamic buckling of imperfect cylindrical shells under axial compression and bending moment

Dynamic buckling of imperfect cylindrical shells under axial compression and bending moment

Non-Linear Vibrations of Shell-Type Structures: A Review With Bibliography

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