Asymmetric free vibration of circular plate in contact with incompressible fluid

Tariverdilo, S.; Shahmardani, Mahdieh; Mirzapour, Jamil; Shabani, Rasoul

doi:10.1016/j.apm.2012.02.025

Cited by 49 publications

(27 citation statements)

References 13 publications

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“…It can be seen that the results generated by the present methodologies converge very quickly and agree well with the analytical solutions of Tariverdilo et al (2013). Besides, the present results have closer agreement with the results of the variational formulation than those of the Fourier-Bessel series.…”

Section: Latin American Journal Of Solids and Structures 13 (2016) 61supporting

confidence: 78%

“…In Table 1, the results of present simulations (pressure-based and potential-based DQMs) are compared with the approximate analytical solutions of Tariverdilo et al (2013). It can be seen that the results generated by the present methodologies converge very quickly and agree well with the analytical solutions of Tariverdilo et al (2013).…”

Section: Latin American Journal Of Solids and Structures 13 (2016) 61mentioning

confidence: 75%

“…To validate the proposed procedures for free vibration analysis of fluid-loaded circular plates, application is made to a numerical example given by Tariverdilo et al (2013). Tariverdilo et al (2013) proposed two analytical approaches, i.e., the Fourier-Bessel series method and the variational method, for asymmetric free vibration of circular plates in contact with a bounded incompressible fluid.…”

Section: Verification and Validation Of Numerical Resultsmentioning

confidence: 99%

“…Tariverdilo et al (2013) proposed two analytical approaches, i.e., the Fourier-Bessel series method and the variational method, for asymmetric free vibration of circular plates in contact with a bounded incompressible fluid. The parameters used in their study are as follows: ρs = 7800 Kg/m 3 , a = 100 mm, h = 2 mm, ρf = 1000 Kg/m 3 , H = 100 mm, E = 210 GPa, μ = 0.3 where E is modulus of elasticity while μ is the Poisson's ratio.…”

Section: Verification and Validation Of Numerical Resultsmentioning

confidence: 99%

“…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%

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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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Section: Latin American Journal Of Solids and Structures 13 (2016) 61supporting

confidence: 78%

Section: Latin American Journal Of Solids and Structures 13 (2016) 61mentioning

confidence: 75%