Hydroelastic vibration of circular plates immersed in a liquid-filled container with free surface

Askari, Ehsan; Jeong, Ki‐Hun; Amabili, Marco

doi:10.1016/j.jsv.2013.01.007

Cited by 134 publications

(65 citation statements)

References 49 publications

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“…Nevertheless, we shall include some very low, nearly zero viscous damping in the model to represent the internal damping of the spring and the drag and added-mass effect of the fluid, see e.g. (Khalak and Williamson, 1997;Askari et al, 2013). The motion of the valve disk can be described as a single degree-of-freedom rigid body, with mass m, spring constant s and viscous damping with coefficient k. The pre-compression of the spring will be denoted by x 0 while x v stands for the displacement of the valve disk.…”

Section: Valve Body Dynamicsmentioning

confidence: 99%

Dynamic behavior of direct spring loaded pressure relief valves in gas service: Model development, measurements and instability mechanisms

Hős

Champneys

Paul

et al. 2014

Journal of Loss Prevention in the Process Industries

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A synthesis of previous literature is used to derive a model of an in-service direct-spring pressure relief valve. The model couples low-order rigid body mechanics for the valve to one-dimensional gas dynamics within the pipe. Detailed laboratory experiments are also presented for three different commercially available values, for varying mass flow rates and length of inlet pipe. In each case, violent oscillation is found to occur beyond a critical pipe length, which may be triggered either on valve opening or closing. The test results compare favorably to the simulations using the model. In particular, the model reveals that the mechanism of instability is a Hopf bifurcation (flutter instability) involving the fundamental, quarter-wave pipe mode. Furthermore, the concept of the effective area of the valve as a function of valve lift is shown to be useful in explaining sudden jumps observed in the test data. It is argued that these instabilities are not alleviated by the 3% inlet line loss criterion that has recently been proposed as an industry standard.

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Section: Valve Body Dynamicsmentioning

confidence: 99%

Dynamic behavior of direct spring loaded pressure relief valves in gas service: Model development, measurements and instability mechanisms

Hős

Champneys

Paul

et al. 2014

Journal of Loss Prevention in the Process Industries

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“…The problem is considered for the case, where liquid volume is limited by a rigid bottom and cylinder surface. Reference [10] studies the oscillations of a circular plate, plunged into an ideal incompressible liquid with a free surface in rigid cylinder. Mathematical modeling and a series of experimental investigations are carried out by the authors of this paper.…”

Section: Introductionmentioning

confidence: 99%

Hydroelastic Oscillations of a Circular Plate, Resting on Winkler Foundation

Kondratov

Mogilevich

Popov

et al. 2018

J. Phys.: Conf. Ser.

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Abstract. The forced hydroelastic oscillations of a circular plate resting on elastic foundation are investigated. The oscillations are caused by a stamp vibration under interaction with a plate through a thin layer of viscous incompressible liquid. The axis-symmetric problem for the regime of the steady-state harmonic oscillations is considered. On the basis of hydroelasticity problem solution the laws of plate deflection and pressure in the liquid are found. The functions of the amplitudes deflection distribution and liquid pressure along the plate are constructed. The presented mathematical model provides for investigating viscous liquid layer interaction dynamics with a circular plate resting on an elastic foundation. The above-mentioned model makes it possible to define the plate oscillations resonance frequencies and the corresponding amplitudes of deflection and liquid pressure, as well. Keywords -circular plate; hydroelastic oscillations; vibration stamp; viscous liquid; Winkler foundation IntroductionThe investigations of the plates and supporting elastic foundations interaction are of theoretical, as well as of practical interest. For example, the review [1], devoted to this subject matter, considers the items of elastic foundations development models, as well as various approaches to analytical and numerical investigation of beams and plates with elastic foundations interaction. Reference [2] studies free and forced oscillations of a circular plate, the plate resting on Winkler foundation. The investigation is carried out in axis-symmetric setting for the cases of a simply supported edge and a clamped one. Reference [3] studies stability and oscillations of circular polar orthotropic plates of variable thickness resting on Winkler foundation. The cases of the simply supported and clamped edge of the plates are considered. Reference [4] deals with investigation of oscillations of a thin circular plate with elastic fixation along the contour, the plate resting on Winkler elastic foundation. Reference [5] studies free oscillations of thin circular plate on Winkler foundation. The axis-symmetric problem under the condition of foundation rigidity change in radial direction is investigated in the above-mentioned reference. References [6,7] consider oscillations and stability of multi-layered circular plates on elastic foundation under the impact of local and distributed loadings of various nature. The Winkler and Pasternak models are used for foundation reactions modelling. On the other hand, the investigations of hydroelastic interaction of circular plates with an ideal liquid are of

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“…They also solved the problem using the finite element method and studied the effects of fluid compressibility on natral frequencies of the coupled system. Chiba (1994), Amabili et al (1995), Kwak (1997), Kwak and Han (2000), Jeong (2003), Ergin and Ugurlu (2004), Kim and Lee (2005), Gorman and Horáček (2007), Gorman et al (2008), Jeong et al (2009), Askari and Daneshmand (2010), Askari et al (2013), Tariverdilo et al (2013), and Shafiee et al (2014) also solved various circular plate-fluid interaction problems using various analytical or approximate methods.…”

Section: Introductionmentioning

confidence: 99%

Pressure-Based and Potential-Based Differential Quadrature Procedures for Free Vibration of Circular Plates in Contact with Fluid

Eftekhari

2016

Lat. Am. j. solids struct.

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The differential quadrature method (DQM) has been so far applied to a wide variety of fluid and/or structural problems. The results of many researchers reveal that the DQM is computationally efficient and is applicable to a large class of boundary value problems. However, there is little information about its applications to fluidstructure interaction problems. Therefore, the purpose of this paper is to provide some information in this area and to develop procedures based on the DQM for the numerical solution of fluidstructure interaction problems. First, the governing partial differential equations of motion of the structure and fluid are discretized separately using the DQM. Then, by applying the boundary condition at fluid-structure interface, the governing eigenvalue equations of the coupled system are obtained which can then be solved for the eigenvalues of the system. The applicability of the proposed procedures is shown herein through the free vibration analysis of thin circular plates in contact with a cylindrical fluid-filled cavity. Issues related to the implementation of the regularity conditions at the center of the circular plate and the central line of the cylindrical cavity are addressed. Two new regularity conditions are proposed for the circular cylindrical fluid domain. The accuracy and efficiency of the proposed procedures are demonstrated by comparing the obtained results with those available in the literature. It is shown that highly accurate converged results can be obtained by the proposed procedures using a small number of grid points. Three new dimensionless parameters and variables are also introduced for the free vibration of the coupled system. The influences of these parameters on dynamic behavior of the system are studied.

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Hydroelastic vibration of circular plates immersed in a liquid-filled container with free surface

Cited by 134 publications

References 49 publications

Dynamic behavior of direct spring loaded pressure relief valves in gas service: Model development, measurements and instability mechanisms

Dynamic behavior of direct spring loaded pressure relief valves in gas service: Model development, measurements and instability mechanisms

Hydroelastic Oscillations of a Circular Plate, Resting on Winkler Foundation

Pressure-Based and Potential-Based Differential Quadrature Procedures for Free Vibration of Circular Plates in Contact with Fluid

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