Free vibrations of circular cylinders with longitudinal, interior partitions

Peterson, Mike; Boyd, D. E.

doi:10.1016/0022-460x(78)90400-5

Cited by 35 publications

(13 citation statements)

References 8 publications

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“…In the past, different models of shell with non-axisymmetric internal struc- 25 tures have been proposed. Some of these studies have focused on the vibroacoustic behavior of non-axisymmetric cylindrical shells in vacuo [4,5,6,7,8].…”

Section: Introductionmentioning

confidence: 99%

Prediction of the vibroacoustic behavior of a submerged shell with non-axisymmetric internal substructures by a condensed transfer function method

Meyer

Maxit

Guyader

et al. 2016

Journal of Sound and Vibration

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International audienceThe vibroacoustic behavior of axisymmetric stiffened shells immersed in water has been intensively studied in the past. On the contrary, little attention has been paid to the modeling of these shells coupled to non-axisymmetric internal frames. Indeed, breaking the axisymmetry couples the circumferential orders of the Fourier series and considerably increases the computational costs. In order to tackle this issue, we propose a sub-structuring approach called the Condensed Transfer Function (CTF) method that will allow assembling a model of axisym-metric stiffened shell with models of non-axisymmetric internal frames. The CTF method is developed in the general case of mechanical subsystems coupled along curves. A set of orthonormal functions called condensation functions, which depend on the curvilinear abscissa along the coupling line, is considered. This set is then used as a basis for approximating and decomposing the displacements and the applied forces at the line junctions. Thanks to the definition and calculation of condensed transfer functions for each uncoupled subsystem and by using the superposition principle for passive linear systems, the behavior of the coupled subsystems can be deduced. A plane plate is considered as a test case to study the convergence of the method with respect to the type and the number of condensation functions taken into account. The CTF method is then applied to couple a submerged non-periodically stiffened shell described using the Circumferential Admittance Approach (CAA) with internal substructures described by Finite Element Method (FEM). The influence of non-axisymmetric internal substructures can finally be studied and it is shown that it tends to increase the radiation efficiency of the shell and can modify the vibrational and acoustic energy distribution

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Section: Introductionmentioning

confidence: 99%

Prediction of the vibroacoustic behavior of a submerged shell with non-axisymmetric internal substructures by a condensed transfer function method

Meyer

Maxit

Guyader

et al. 2016

Journal of Sound and Vibration

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“…The dynamic response of thin plate-thin cylindrical shell structures was ini-tially studied by Peterson and Boyd (1978), who presented the first analytical model for a shell with a partitioned floor as a simplified model of a plane fuselage. Lee and Choi (2001) later obtained the free vibration response of a simply supported shell-plate structure from the response of their subsystems.…”

Section: Introductionmentioning

confidence: 99%

Dynamic response of a double-deck circular tunnel embedded in a full-space

Clot

Villamarín

Garbí

et al. 2016

Tunnelling and Underground Space Technology

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© 2016. This version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/A three-dimensional dynamic model for calculating the ground-borne vibrations generated by harmonic loads applied on the interior floor of a double-deck circular tunnel is developed. The response of the system is obtained coupling the interior floor subsystem and the tunnel-soil subsystem in the wavenumber-frequency domain. The interior floor is modeled as a thin plate of infinite length in the train circulation direction and the tunnel-soil system is described using the Pipe in Pipe model. Some numerical instabilities of the resulting expressions are overcome by using analytic approximations. The results show that the dynamic behavior of the interior floor clearly influences the magnitude of the coupling loads acting on the tunnel structure. The soil response to a harmonic load acting on the double-deck tunnel is compared to the one obtained for the case of a simple tunnel finding significant differences between them for the whole range of frequencies studied. The proposed model extends the prediction of train-induced vibrations using computationally efficient models to this type of tunnel structure.Peer ReviewedPostprint (author's final draft

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“…For instance, the pure and ring-stiffened cylindrical–conical shells, spherical–cylindrical–spherical shells, and ring-stiffened conical–cylindrical–spherical shells have been recently studied by Qu and his co-workers. 1–4 As for the complex plate-shell system, the pioneer work was presented by Peterson and Boyd 5 who developed the first analytical model of the partitioned shell. The Rayleigh-Ritz method was adopted in their study and the displacement compatibility conditions for the rigid and hinged joints between the interior floor and the shell were satisfied by the constraint equations.…”

Section: Introductionmentioning

confidence: 99%

Vibrational energy flow analysis of coupled cylindrical shell-plate structure with general boundary and coupling conditions

Chen

Jin

2014

Proceedings of the Institution of Mechanical Engineers, Part C:

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An analytical study on the vibration and energy flow behaviors of a coupled cylindrical shell-plate structure is presented. An analytical model capable of handling general boundary and coupling conditions is developed in which the interactions of all internal forces and moments for both the shell and plate have been taken into account at the junction via four types of coupling springs with arbitrary stiffness and covering all the degrees of freedom, and each of the plate and shell displacement functions is expressed as the superposition of a two-dimensional Fourier series and several supplementary functions. The unknown expansions coefficients are obtained using the Rayleigh-Ritz procedure. The effectiveness and accuracy of the present solution are validated against the FEM results. The energy flow behaviors through this structure are investigated through parametric power flow and structural intensity analysis. The contribution of internal forces or moments to the power flow and the influence of key system parameters on the energy flow are analyzed numerically, including coupling locations, coupling conditions, boundary conditions, and excitation location. The results shed light on the effects of system parameters on the energy flow behaviors of the class of coupled shell-plate structure.

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Free vibrations of circular cylinders with longitudinal, interior partitions

Cited by 35 publications

References 8 publications

Prediction of the vibroacoustic behavior of a submerged shell with non-axisymmetric internal substructures by a condensed transfer function method

Prediction of the vibroacoustic behavior of a submerged shell with non-axisymmetric internal substructures by a condensed transfer function method

Dynamic response of a double-deck circular tunnel embedded in a full-space

Vibrational energy flow analysis of coupled cylindrical shell-plate structure with general boundary and coupling conditions

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