Vibrations and stability of a periodically supported rectangular plate immersed in axial flow

“…The term depending on the flow acceleration _ U did not appear in the formulation of Tubaldi and Amabili (2013) where a steady flow was considered.…”

Section: Lagrange Equations Of Motionmentioning

confidence: 99%

Nonlinear vibrations of plates in axial pulsating flow

Tubaldi

Amabili

Alijani

2015

Journal of Fluids and Structures

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“…It was found that the fundamental mode and frequency were well estimated by the assumed-modes approach, while higher modes were computed with less accuracy. Tubaldi and Amabili [21] investigated the stability of an infinitely long and wide plate subjected to a pulsating potential flow based on linear dynamics. Tubaldi et al [22] considered the non-linear dynamic behaviour of the same problem.…”

Section: Introductionmentioning

confidence: 99%

A three dimensional semi-analytical model for the prediction of gate vibrations immersed in fluid

et al. 2019

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A model is developed to predict bending vibrations of flood gates with fluid on both sides. The liquid flow is three-dimensional and the gate is represented as a thin plate. The fluid response is considered within the linear potential flow theory including the effect of compressibility and the generation of free surface waves. This way, the hydrodynamic fluid pressure exerted on the gate is predicted accurately in both low and high-frequency regimes. Both the structural and fluid responses are expressed in the modal domain as a superposition of modes. A semi-analytical solution of the fluid-interaction problem is obtained by describing the complete system in terms of in vacuo gate modes, which is computationally efficient compared to existing numerical methods. This allows for the accurate prediction of flood gate vibrations for a large number of simulations, making it possible to perform fatigue calculations and probabilistic evaluations. The case of a typical flat flood gate subjected to an impulsive wave impact is studied with the developed model. Results show the capability of the model to efficiently quantify flood gate vibrations considering the involved fluid-structure interaction, which can lead to more economical designs compared to common engineering practice.

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“…Later, the NAVMI approach was also employed in investigations by Kwak and Kim (1991), Fu and Price (1987), Zhao and Yu (2012) and many others reviewed therein. At the same time, there are also investigations, such as Tubaldi and Armabili (2013), Charman and Sorokin (2005) and others listed therein, that were made without employing the NAVMI approach. In the latter ones the vibration mode of the system is determined as a result of the solution to the corresponding eigenvalue problems.…”

Section: Introductionmentioning

confidence: 99%

The influence of the rheological parameters of a hydro-viscoelastic system consisting of a viscoelastic plate, viscous fluid and rigid wall on the frequency response of this system

Akbarov

Ismailov

2016

Journal of Vibration and Control

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In this paper the forced vibration of a hydro-viscoelastic system consisting of a viscoelastic plate, compressible viscous fluid and rigid wall is considered. The focus is on the investigation of the influence of the rheological parameters of the plate material and the viscosity of the fluid on the frequency response of this system. The constitutive relations for the plate material are given through the fractional-exponential operators, and the exact equations of the visco-elastodynamics in the plane-strain state are employed for describing the plate motion. The fluid motion is described through the linearized Navier–Stokes equations and it is assumed that the velocity and force vectors are continuous across the interface plane between the fluid and the plate. Numerical results on the frequency response of the normal stress acting on the interface plane and of the normal velocity of the points of this plane are presented for various values of the rheological parameters of the plate material. These results are also distinguished with respect to inviscid and viscous fluid cases. As a result of the analyses of these results, corresponding conclusions are made on the influence of the rheological parameters of the plate material on the aforementioned frequency responses.

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Vibrations and stability of a periodically supported rectangular plate immersed in axial flow

Cited by 27 publications

References 12 publications

Nonlinear vibrations of plates in axial pulsating flow

Nonlinear vibrations of plates in axial pulsating flow

A three dimensional semi-analytical model for the prediction of gate vibrations immersed in fluid

The influence of the rheological parameters of a hydro-viscoelastic system consisting of a viscoelastic plate, viscous fluid and rigid wall on the frequency response of this system

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