Finite Element Analysis of the Lateral Vibration of Thin Annular and Circular Plates With Variable Thickness

Chen, Dian-Yun; Ren, Bin

doi:10.1115/1.2893893

Cited by 27 publications

(9 citation statements)

References 22 publications

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“…Then she used finite element methods to calculate the natural frequency and vibration mode shapes for each different case. She concluded finite element method is an adequate approach to analyze and compute shell vibration, calculating its natural frequency and vibration mode shape [5]. Considering the extremely wide usage of pipelines in the modern world, it is essential to calculate beforehand and correctly identify the natural and forced vibrations that a pipeline system will encounter during its duty.…”

Section: Introductionmentioning

confidence: 99%

Vibration Analysis of a Turbulent Fluid Passing Inside an Elbow Shaped Pipe Section

Keshtkar¹,

Jafari²

2017

J Appl Mech Eng

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Fluids being passing through a pipeline system can cause internal vibrations within the pipelines. If these vibrations weren't considered at the design of the system, and flow induced vibrations resonate with the pipes natural frequency, the sudden amplified vibrations can cause destructive damage to the pipeline system. Thus, it is extremely important to identify and predict all vibrations a certain pipeline system will possibly encounter during its lifetime when designing the system, also choosing the proper material with regard to their natural frequencies to avoid destructive resonances from happening. In this study, using ABAQUS as a CFD solver, we studied the forced and free vibrations caused by a turbulence flow of a fluid with different speeds through a 90 degree bent elbow pipe. We compared the vibration modes and frequencies for different cases of fluid speeds, and concluded at what natural frequency a vibration resonance may occur leading to a possible pipe failure.

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Section: Introductionmentioning

confidence: 99%

Vibration Analysis of a Turbulent Fluid Passing Inside an Elbow Shaped Pipe Section

Keshtkar¹,

Jafari²

2017

J Appl Mech Eng

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“…Such type of free vibration problems are generally described by a linear partial differential equation associated with a set of related boundary conditions, whose closed form solution is not possible. As a result, the various numerical methods such as the finite difference method [1], Galerkin's method [2],Rayleigh-Rit z method [3],quintic splines method [4], finite-element method [5], Chebyshev collocation method [6], and Differential quadrature method [7][8][9][10] have been employed to study the vibrational characteristics of plates of various geometries.…”

Section: Introductionmentioning

confidence: 99%

Generalised Differential Quadrature Method in the Study of Free Vibration Analysis of Monoclinic Rectangular Plates

Singhal¹,

Bindal²

2012

AJCAM

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Vibrat ion characteristics of monoclinic rectangular plate of exponentially varying thickness resting on elastic foundation have been studied on the basis of classical plate theory. Following Lévy approach i.e. t wo parallel edges (y = 0 and b) are assumed to be simp ly-supported while the other two edges (x = 0 and a) may have either of three co mbinations C-C, C-S or C-F, where C, S and F stand for clamped, simp ly supported and free edge, respectively. Assuming the transverse displacement w to vary as sin (p y/b), the part ial differential equation wh ich governs the motion of equation is reduced to an ordinary differential equation in x with variab le coefficients. The resulting ordinary differential equation has been solved by Generalised Differential Quadrature Method (GDQM) for all the boundary conditions considered here. The effect of various plate parameters has been studied on the natural frequencies for the first three modes of vibration. Convergence studies have been carried out for four decimal exactitude. Mode shapes for all the three plates have been presented. The efficiency of generalized differential quadrature method for the natural frequencies of vibrat ion of monoclin ic rectangular p lates has been examined.

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“…Irie et al (1982) investigated the free vibration behavior of annular plates using Bessel functions. Also, Han and Liew (1999) investigated by Chen and Ren (1998) and Khare and Mittal (2015) using finite element analysis. Komur et al (2010) presented the buckling behavior of laminated composite plate using finite element software ANSYS.…”

Section: Introductionmentioning

confidence: 99%

Prediction of Natural Frequencies of Thick Circular Plates using Finite Element Analysis

Khare¹

2017

IJMPERD

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Finite Element Analysis of the Lateral Vibration of Thin Annular and Circular Plates With Variable Thickness

Cited by 27 publications

References 22 publications

Vibration Analysis of a Turbulent Fluid Passing Inside an Elbow Shaped Pipe Section

Vibration Analysis of a Turbulent Fluid Passing Inside an Elbow Shaped Pipe Section

Generalised Differential Quadrature Method in the Study of Free Vibration Analysis of Monoclinic Rectangular Plates

Prediction of Natural Frequencies of Thick Circular Plates using Finite Element Analysis

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