Nonlinear Response of Double-Wall Cylindrical Shell Vibrations under Random Excitation

Doğan, Vedat; Vaicaitis, R.

doi:10.1061/(asce)0893-1321(2006)19:1(46)

Cited by 9 publications

(4 citation statements)

References 31 publications

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“…Lugovoi et al [229] studied the forced non stationary vibrations of sandwich circular cylindrical shells with cross ribbed cores using a finite difference scheme. Dogan and Vaicaitis [230] used Donnell's shell theory to predict the non linear response of a simply supported double wall sandwich cylindrical shell subjected to random excitation. Non linear spring dashpot models were used to characterize the behavior of the soft core of the sandwich shell.…”

Section: Closed Composite Shellsmentioning

confidence: 99%

Non-linear vibrations of shells: A literature review from 2003 to 2013

Alijani

Amabili

2014

International Journal of Non-Linear Mechanics

214

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International audienceThe present literature review focuses on geometrically non linear free and forced vibrations of shells made of traditional and advanced materials. Flat and imperfect plates and membranes are excluded. Closed shells and curved panels made of isotropic, laminated composite, piezoelectric, functionally graded and hyperelastic materials are reviewed and great attention is given to non linear vibrations of shells subjected to normal and in plane excitations. Theoretical, numerical and experimental studies dealing with particular dynamical problems involving parametric vibrations, stability, dynamic buckling, non stationary vibrations and chaotic vibrations are also addressed. Moreover, several original aspects of non linear vibrations of shells and panels, including (i) fluid structure interactions, (ii) geometric imperfections, (iii) effect of geometry and boundary conditions, (iv) thermal loads, (v) electrical loads and (vi) reduced order models and their accuracy including perturbation techniques, proper orthogonal decomposition, non linear normal modes and meshless methods are reviewed in depth

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Section: Closed Composite Shellsmentioning

confidence: 99%

Non-linear vibrations of shells: A literature review from 2003 to 2013

Alijani

Amabili

2014

International Journal of Non-Linear Mechanics

214

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“…There are very limited studies for nonlinear double panel problems. Some studies (e.g., [16][17][18][19][20][21][22][23][24]) are related to the nonlinear structural vibrations, but their focuses are different from that in this paper. In fact, there are numerous theories used for solving various nonlinear vibration problems (e.g., [25][26][27][28][29][30][31][32][33][34][35]).…”

Section: Introductionmentioning

confidence: 98%

Natural Frequency Analysis of Two Nonlinear Panels Coupled with a Cavity Using the Approximate Elliptic Integral Solution and the Method of Harmonic Residual Minimization

Lee

2015

Discrete Dynamics in Nature and Society

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The nonlinear structural acoustic problem considered in this study is the nonlinear natural frequency analysis of flexible double panels using the elliptic integral solution method. There are very limited studies for this nonlinear structural-acoustic problem, although many nonlinear plate or linear double panel problems have been tackled and solved. A multistructural/acoustic modal formulation is derived from two coupled partial differential equations which represent the large amplitude structural vibrations of the flexible panels and acoustic pressure induced within the air gap. One is the von Karman’s plate equation and the other is the homogeneous wave equation. The results obtained from the proposed method approach are verified with those from a numerical method. The effects of vibration amplitude, gap width, aspect ratio, the numbers of acoustic modes and harmonic terms, and so forth on the resonant frequencies of the in-phase and out of phase modes are examined.

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“…Liu et al [40] studied the bifurcation, intermittent chaos, and nonlinear vibration of a large deployable space antenna under 1 : 3 internal resonant thermal load. Dogan [41] established nonlinear response model for double-wall Sandwich cylindrical shells under random excitation and studied the parameter sensitivity on the nonlinear responses. Kumar et al [42] studied the nonlinear response of elliptical shell under transverse harmonic load.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration Analysis for Stiffened Cylindrical Shells Subjected to Electromagnetic Environment

Bai

Song

Zhang

2021

Shock and Vibration

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The nonlinear vibration behaviors of stiffened cylindrical shells under electromagnetic excitations, transverse excitations, and in-plane excitations are studied for the first time in this paper. Given the first-order shear deformation theory and Hamilton principle, the nonlinear partial differential governing equations of motion are derived with considering the von Karman geometric nonlinearity. By employing the Galerkin discretization procedure, the partial differential equations are diverted to a set of coupled nonlinear ordinary differential equations of motion. Based on the case of 1 : 2 internal resonance and principal resonance-1/2 subharmonic parametric resonance, the multiscale method of perturbation analysis is employed to precisely acquire the four-dimensional nonlinear averaged equations. From the resonant response analysis and nonlinear dynamic simulation, we discovered that the unstable regions of stiffened cylindrical shells can be narrowed by decreasing the external excitation or increasing the magnetic intensity, and their working frequency range can be expanded by reducing the in-plane excitation. Moreover, the different nonlinear dynamic responses of the stiffened cylindrical shell are acquired by controlling stiffener number, stiffener size, and aspect ratio. The presented approach in this paper can provide an eﬃcient analytical framework for nonlinear dynamics theories of stiffened cylindrical shells and will shed light on complex structure design in vibration test engineering.

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Nonlinear Response of Double-Wall Cylindrical Shell Vibrations under Random Excitation

Cited by 9 publications

References 31 publications

Non-linear vibrations of shells: A literature review from 2003 to 2013

Non-linear vibrations of shells: A literature review from 2003 to 2013

Natural Frequency Analysis of Two Nonlinear Panels Coupled with a Cavity Using the Approximate Elliptic Integral Solution and the Method of Harmonic Residual Minimization

Nonlinear Vibration Analysis for Stiffened Cylindrical Shells Subjected to Electromagnetic Environment

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