Free Vibration Analysis of circular plates with holes and cutouts

Thakare, Shrikant B.; Damale, A. V.

doi:10.9790/1684-0824654

Cited by 14 publications

(3 citation statements)

References 4 publications

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“…The effect of presence of cut outs in plates with various shaped cut outs were studied by Watsar et al [6]. Similar studies are also reported from Mekalke et al [7], Saraçoğlu and Albayrak [8], Jain [9] and Vanam et al [10]. Moreover, few researchers have attempted studies on plates with holes created as the reason of pitting corrosion [11], [12].…”

Section: Introductionmentioning

confidence: 57%

Numerical Analysis of Thin Plates with Holes

Gokul

Kuriakose

Kurian

2016

AMM

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Plates are the important structural members finding applications in the field of structural engineering, ship technology and aerospace engineering. Holes are often provided in the plates for the purpose of services and aesthetics. Pitting corrosion can also induce holes on the plates, thereby inducing stress concentration and redistribution of stress around the hole. In this paper, the popular finite element software ANSYS is used for the static analysis of thin plates with holes. The influence of shape and size of the hole on the stress distribution of plate is also analysed. The study can form foundation for strength assessment of steel plates with holes, especially residual strength of plates subjected to pitting corrosion.

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Section: Introductionmentioning

confidence: 57%

Numerical Analysis of Thin Plates with Holes

Gokul

Kuriakose

Kurian

2016

AMM

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“…Vibration of circular plates became during the last decades an import issue in various engineering applications such as: aerospace, naval architecture or pressure vessels. Therefore, this subject received a significant amount of research [1][2][3][4][5]. Thus, transverse vibration of simply supported circular plates with elastic constrains was investigated by Navita and Leissa [6] or Laura et al [7].…”

Section: Introductionmentioning

confidence: 99%

Circular crack identification in plates based on natural frequency evaluation

Hamat¹,

Praisach²,

Barbinta³

et al. 2020

Vib. proced.

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We propose in this paper a method to detect cracks in circular plates clamped at the circumference. It consists in analyzing and interpreting the frequency changes that occur due to a circular arc crack. We show that the effect of the crack depends on the strain energy loss, which actually is proportional to the curvature achieved by the affected region in the radial direction. Three types of cracks are considered herein to demonstrate this dependency, differing by their length. Modal analysis is performed involving a professional simulation software for the intact plate, and that with the generated cracks. We found a perfect fit when we compared the curvature of the plate in the radial direction obtained with the analytical relation with the frequency values for the crack displaced along the radius. Therefore, using the curvature of several vibration modes we can obtain damage patterns that can be used to locate circular cracks.

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“…The influence of eccentricity on the free vibration of annular plates is studied by the FEM in Khurasia and Rawtani 21 and Cheng et al 22 The Rayleigh–Ritz method has been applied to the above problem by Laura et al 23 In addition, Lee et al 24 proposed a semi-analytical approach to solve the natural response of circular plates with multiple circular openings. Thakare and Damale 25 performed experimental analysis of natural frequencies of circular plate with central circular opening and provided comparisons with finite element analysis (FEA) solutions. Shi et al 26 presented the so-called unified method for free vibration analysis of circular, annular and sector plates with arbitrary boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of thin circular plates with multiple openings by the assumed mode method

Senjanović

Hadžić

Vladimir

2016

Proceedings of the Institution of Mechanical Engineers, Part M:

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Circular plates with openings are used in many engineering structures, especially as swash bulkheads in cargo tanks of liquefied gas carriers. In this article, an approximate procedure is worked out for the vibration analysis of circular plates with different boundary conditions and a different number and size of openings with an arbitrary arrangement within the plate area. The assumed mode method, recently used in the vibration analysis of rectangular plates, is applied in this case. Following the basic idea, the effect of the openings is accounted for by subtracting the potential and kinetic energy of the cutout plate parts corresponding to the total plate energies without openings. The procedure is illustrated with numerical examples related to the vibration analysis of annular plates and circular plates with openings. The results are evaluated through their comparison with an analytical and finite element method solution.

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Free Vibration Analysis of circular plates with holes and cutouts

Cited by 14 publications

References 4 publications

Numerical Analysis of Thin Plates with Holes

Numerical Analysis of Thin Plates with Holes

Circular crack identification in plates based on natural frequency evaluation

Vibration analysis of thin circular plates with multiple openings by the assumed mode method

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