Free vibration analysis of perforated plate with square penetration pattern using equivalent material properties

Jhung, Myung Jo; Jeong, Kyeong Hoon

doi:10.1016/j.net.2015.01.012

Cited by 21 publications

(11 citation statements)

References 6 publications

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“…Some of the maps do not show completely straight nodal lines as expected from the theory. This may be an effect of the finite bending rigidity of the membrane [ 33 ] and is confirmed using finite-element simulations. Another observation is that

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Section: Appendix A1 Excitation and Detectionmentioning

confidence: 79%

Efficient Optomechanical Mode-Shape Mapping of Micromechanical Devices

et al. 2021

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Visualizing eigenmodes is crucial in understanding the behavior of state-of-the-art micromechanical devices. We demonstrate a method to optically map multiple modes of mechanical structures simultaneously. The fast and robust method, based on a modified phase-lock loop, is demonstrated on a silicon nitride membrane and shown to outperform three alternative approaches. Line traces and two-dimensional maps of different modes are acquired. The high quality data enables us to determine the weights of individual contributions in superpositions of degenerate modes.

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whereas

.…”

Section: Appendix A1 Excitation and Detectionmentioning

confidence: 79%

Efficient Optomechanical Mode-Shape Mapping of Micromechanical Devices

et al. 2021

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“…In previous studies by Meijers, 8,18 a separate set of effective elastic constants was obtained through the classical Kirchhoff thin plate theory for problems involving bending of very thin perforated plates, which was later verified in Jhung and Jeong 19 through FE simulations. As plotted in Figure 10, this apparently can lead to a maximum 10% increase in the effective flexural rigidities when compared to the plane stress assumption adopted in this study.…”

Section: Modal Analysis Examplementioning

confidence: 87%

Simple estimation of effective elastic constants for thin plates with regular perforations and an application to the vibration of distillation column trays

Zhang

Taylor

Darton

2016

The Journal of Strain Analysis for Engineering Design

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The horizontal perforated sheet metal plates are commonly used in the process industries as trays in distillation columns, important internal parts for fractionating the input liquid mixture. Normally, the operating performance of such trays is satisfactory. However, cases have been reported of abnormally high levels of tray vibration during operation at particular conditions. The trays then experienced fatigue cracking accompanied by the loosening of bolts and fixings, which led to expensive failures. The excitation of structural resonance was suspected as a component in flow-induced vibration. Using linear stress superposition, a simple but robust analytical method is developed to provide high-quality predictions for the stress and strain distributions for in-plane loaded thin perforated plates with periodic hole arrangements. This approach is built on the classical solution for the elastic stress field around a single circular hole in a large plate. The perforated plates with square penetration patterns are investigated in this article, although the same approach is applicable to any regular penetration pattern. Stress concentration factors as well as the effective elastic constants, which can be used to describe the bending properties of the perforated plates, are then verified against both the established theoretical solutions and the results from finite element simulations. Excellent agreement to both previously published physical experiments and complex modelling is observed in all cases, with small-to-medium (up to 40%) hole-area fraction. The proposed analytical method is much simpler and computationally efficient than finite element analysis. The computed effective elastic constants are used in a finite element modal analysis to estimate the free vibration frequencies of a stiffened distillation column tray example; the first 30 vibration modes are found to be almost uniformly distributed between 25 and 70 Hz, which matches the vibration frequency range reported from plant operations.

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“…In early works Forskitt [5] and Burgemeister [6] considered plates and established the terminology. Recently Jhung and his collaborators have published a number of papers within nuclear reactor design context, see [7], [8], [9]. For a detailed and exhaustive case study for a single cylindrical shell submerged in fluid, see [10].…”

Section: Introductionmentioning

confidence: 99%