Vibrations Analysis of Rectangular Plates with Clamped Corners

Gharaibeh, Mohammad A.; Obeidat, Amr M.

doi:10.1515/eng-2018-0030

Cited by 15 publications

(8 citation statements)

References 19 publications

(22 reference statements)

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“…Numerous studies have found analytical models for calculating natural frequencies of isotropic plates as well as their lateral deflection under uniform loading [64,65]. The effects of different geometrical parameters, boundary conditions, and material properties on an isotropic plate's natural frequency and lateral deflection have been well established [66,67].…”

Section: Introductionmentioning

confidence: 99%

Computational Study of Non-Porous Auxetic Plates with Diamond Shape Inclusions

Afshar

Rezvanpour

2022

J. Compos. Sci.

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Creating non-porous structures that offer auxetic behavior can have a variety of industrial applications, especially when the porosity impairs the functionality of the auxetic structures. This study presents the design and finite element analysis of architected bi-material auxetic plates consisting of repeating unit cells that comprise rigid rotary units and soft inclusions. The change in the design parameters of unit cells produces a variety of mechanical properties, such as different levels of Poisson’s ratio and stiffness for the architected plates that can result in specific static or dynamic responses. The natural frequencies and deflection under uniform lateral loading of the architected plates with clamped boundary conditions were investigated. Furthermore, the effectiveness of the homogenization technique based on the mechanical properties obtained from finite element analysis in predicting the dynamic and static response of the architected plate was also studied.

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Section: Introductionmentioning

confidence: 99%

Computational Study of Non-Porous Auxetic Plates with Diamond Shape Inclusions

Afshar

Rezvanpour

2022

J. Compos. Sci.

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“…The natural frequency of a steel plate with fixed edges can be estimated, knowing the dimensions of the plate, Young's elastic modulus (200 GPa), and Poisson's ratio (0.28). Following Gharaibeh and Obeidat (2018), the natural frequency of the considered plate is about 390 Hz. This is an approximate value, as it does not consider the presence of the screws and the weight of the attached geophone, but gives anyway a good approximation.…”

Section: The Geoplate Signalmentioning

confidence: 99%

Analysis of the Vibration Modes of Impact Geoplates and Implications for Bedload Flux and Grain Size Measurements

Portogallo

Simoni²,

Vignoli

et al. 2022

Water Resources Research

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The development of indirect bedload flux measurement techniques represents a potential game changer in river science. The possibility of having spatially and temporally detailed estimates of the sediment flux in rivers may indeed largely improve and change our understanding of fluvial processes with implications for flood risk assessment, as well as river restoration schemes and habitat modeling. The lack of accurate sediment transport data is one of the major constraints when addressing a variety of river management problems, including flood defense and river restoration, and at spatial scales from the watershed to the river reach (Wilcock, 2001).Direct bedload measurements are often challenging and costly, and only rarely do they provide acceptably accurate data over large discharge events, which tend to mobilize the highest bedload (Vericat et al., 2006). Moreover, traps and samplers are not designed to capture and take into account the inherent stochastic nature of sediment transport processes (Recking et al., 2010). On the other hand, indirect measurements provide a continuous moni toring of sediment flux, including at high flows. Different techniques have been proposed, aiming at

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“…The work [15] deals with the problem of quenching the vibrations of right-angled, isotropic and orthotropic plates, which are protected from vibrations by fixed at the ends. As objects to protect against vibrations, in the first case, one mass is installed in the geometric center of the plate, in the second case, a total of four masses, one in the middle of the sides.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of the Dynamics of Elastic Plate and Liquid Section Dynamic Absorber

Mirsaidov

Dusmatov

Khodjabekov

2022

PNRPU Mechanics Bulletin

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In this paper, the problem of studying the dynamics of transverse vibrations of plate, taking into account the elastic dissipative characteristics of the hysteresis type in conjunction with a liquid section dynamic absorber under the influence of kinematic excitations. In the differential equations of motion, the elastic dissipative characteristics of the plate material of the hysteresis type are taken into account by means of harmonic linearization coefficients based on the Pisarenko -Boginich hypothesis. The amplitude-frequency characteristic of the vibrating plate and the analytical expressions of the transfer function were determined using a differential operator from a system of differential equations of motion depending on the system parameters. In order to perform numerical calculations, the coefficients of the first three terms of the logarithmic decrement expression were found. In the amplitude interval, the function representing the vertical deviation of the amplitude-frequency characteristic decreases and the function representing the energy dissipation in the plate material increases. It has been shown that the efficiency of the liquid section dynamic absorber in quenching harmful plate vibrations at low frequencies can be evaluated based on the results of numerical calculations to ensure that the displacements of the plate point reach minimum values. Amplitude-frequency characteristics for plate points at different parameters were constructed for the distributed parametric system using the developed model and method. Recommendations for the selection of parameters of the system depending on the elastic dissipative and inertial properties are given.

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Vibrations Analysis of Rectangular Plates with Clamped Corners

Cited by 15 publications

References 19 publications

Computational Study of Non-Porous Auxetic Plates with Diamond Shape Inclusions

Computational Study of Non-Porous Auxetic Plates with Diamond Shape Inclusions

Analysis of the Vibration Modes of Impact Geoplates and Implications for Bedload Flux and Grain Size Measurements

Evaluation of the Dynamics of Elastic Plate and Liquid Section Dynamic Absorber

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