A New Method for in-Plane Vibration Analysis of Circular Rings With Widely Distributed Deviation

Yoon, Yoo-Seok; Lee, J.M.; Yoo, Sung Woo; Choi, Hyun-Ki

doi:10.1006/jsvi.2001.4124

Cited by 5 publications

(4 citation statements)

References 10 publications

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“…In this section, an analytical method using a Heaviside function in modelling the local stiffener is proposed to obtain a free vibration solution of the plate stiffened by a local stiffener. The Heaviside unit step function method proposed by Hong and Lee [18,19] is employed to mathematically model the flexural rigidity and mass in the plate with a local stiffener.…”

Section: Theoretical Formulation Of the Plate With A Local Stiffenermentioning

confidence: 99%

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The effect of a local stiffener in the structural—acoustic coupled system

Park

Kim

Kang

2010

Proceedings of the Institution of Mechanical Engineers, Part C:

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This article proposes an analytical method that can be used to obtain the vibro-acoustic modal and forced response characteristics of a three-dimensional structural-acoustic coupled system, where the coupled system is composed of an acoustic cavity with a rectangular plate that is stiffened by a local stiffener. Through the proposed method, the effect of the local stiffener on the natural frequencies, modes, and forced responses is identified for the plate-cavity coupled system with the local stiffener. The relationship between the thickness and the location of the local stiffener on the vibro-acoustic modal characteristics and forced responses is investigated through the structural-acoustic modal coupling coefficient. The high peak-noise due to the strong modal coupling between the plate and acoustic modes can be effectively reduced by properly designing the local stiffener in the coupled system. Finally, the modal characteristics and frequency responses obtained by the proposed method are compared with those of finite-element analysis. The results of this article provide useful information for suppressing the booming noise generated by the strong modal coupling between the plate and acoustic modes in the coupled system.

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Section: Theoretical Formulation Of the Plate With A Local Stiffenermentioning

confidence: 99%

“…By substituting equations (19) and (20) into equations (27a) and (27b), F 1 and F 2 can be rewritten in terms of A 1 and A 2 as follows…”

Section: Free Vibration Analysismentioning

confidence: 99%

The effect of a local stiffener in the structural—acoustic coupled system

Park

Kim

Kang

2010

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Notably, the LVMP concept was inspired by the phenomenon of repeated/split frequencies observed in circular rings due the presence of cracks. 28,29,30,31 Circular rings like pipes are tubular structures and share a common property in axisymmetry; damage perturbs this property and therefore it is assumed that a shift in the measure of axisymmetry is characteristic of damage. Furthermore, it is also conjectured that the degree of axisymmetry perturbation is related to the extent of damage in a tubular structure; therefore, in this research a measure of symmetry was sought in order to verify these assumptions.…”

Section: Introductionmentioning

confidence: 99%

A baseline-free method for damage identification in pipes from local vibration mode pair frequencies

Esu

Wang

Chryssanthopoulos

2021

Structural Health Monitoring

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As structural systems approach their end of service life, integrity assessment and condition monitoring during late life becomes necessary in order to identify damage due to age-related issues such as corrosion and fatigue and hence prevent failure. In this paper, a novel method of level 3 damage identification (i.e. detection, localisation and quantification) from local vibration mode pair (LVMP) frequencies is introduced. Detection is achieved by observation of LVMP frequencies within any of the vibration modes investigated while the location of the damage is predicted based on the ranking order of the LVMP frequency ratios and the damage is quantified in terms of material volume loss from pre-established quantification relations. The proposed method which is baseline-free (in the sense that it does not require vibration-based assessment or modal data from the undamaged state of the pipe) and solely frequency-dependent was found to be more than 90% accurate in detecting, locating and quantifying damage through a numerical verification study. It was also successfully assessed using experimental modal data obtained from laboratory tests performed on an aluminium pipe with artificially inflicted corrosion-like damage underscoring a novel concept in vibration-based damage identification for pipes.

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“…[3,4,5,6]) in which a certain number of eigenfunctions of the uniform ring are used as a solution basis. Other researchers have proposed more complicated basis functions for capturing the motion of an imperfect ring and allow general, distributed perturbations [7,8]. For sufficiently small imperfections, many of these references also address the frequency trimming problem in which it is desired to reduce the frequency difference between a detuned pair of modes.…”

Section: Introductionmentioning

confidence: 99%

Frequency analysis of a uniform ring perturbed by point masses and springs

Behbahani

M’Closkey

2017

Journal of Sound and Vibration

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Perturbation expansions of solutions for a uniform, thin, linear elastic ring perturbed by point masses and radial massless springs are developed. The perturbation locations divide the ring into uniform segments so a variational formulation is used to determine the boundary conditions that must be satisfied between adjoining segments. The motion of each segment can be represented as a weighted sum of the eigenfunctions for the uniform thin ring so when the boundary conditions are enforced, the resulting algebraic relations are expanded as a function of the perturbation parameter (the perturbation mass normalized by the ring mass). A series of algebraic problems are sequentially solved to yield perturbation expansions for the modal frequencies and eigenmodes.Single-mass, dual-mass, and mass-spring case studies are considered. The perturbation results show excellent agreement with finite element analysis of a thin ring for mass perturbations up to 15% of the nominal ring mass. The results are also compared to Rayleigh-Ritz analysis.

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A New Method for in-Plane Vibration Analysis of Circular Rings With Widely Distributed Deviation

Cited by 5 publications

References 10 publications

The effect of a local stiffener in the structural—acoustic coupled system

The effect of a local stiffener in the structural—acoustic coupled system

A baseline-free method for damage identification in pipes from local vibration mode pair frequencies

Frequency analysis of a uniform ring perturbed by point masses and springs

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