Comparing and optimizing analytical, numerical and experimental vibration models for a simply-supported ribbed plate

Akl, James; Alladkani, Fadi; Dumond, Patrick

doi:10.1016/j.istruc.2019.12.003

Cited by 3 publications

(2 citation statements)

References 24 publications

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“…This feature allows for a more accurate solution to the issues of discontinuity in the domain, such as the cutout, cracks and corrosion in thick plates. Meshless methods can be roughly divided into three groups namely; strong form, weak form and the last one is associated with weak and strong ones of system equations [5,7]. The strong forms are directly implemented from governing differential equations consisting of the general finite difference method [8,9], the smooth particle hydrodynamic method [10] and the meshless collocation method [11].…”

Section: Introductionmentioning

confidence: 99%

Analyzing of thick plates with cutouts using the meshless (EFG) method based on higher order shear deformation theories for solving shear-locking issue

Vakili

Shahabian

Rad

2021

NMCE

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Although the finite element method (FEM) is a well-established method for modelling the thick plates, in some cases FEM encounters some difficulties such as shear locking and decrease in the accuracy of results caused by stress concentration around the openings. In this paper for the first time, the EFG method based on the higher-order shear deformation theories is developed for analysis of thick plates with cutout to overcome these drawbacks. It should be mentioned that the EFG method does not need any mesh generation in problem domain and its boundaries. The Radial Point Interpolation method (RPIM) is used to discrete the problem domain. Several numerical examples are analyzed using proposed method and effects of aspect ratios, boundary conditions and location of cutout are discussed in details. Results show that by choosing the appropriate shape functions for the deflection and rotations, the presented EFG method has successfully overcome the shear-locking problem. Based on numerical results, the best position of circular cutout, which minimizes the maximum deflection is determined. The approximate equations for determination of maximum deflection are presented using the cubic polynomial method. Numerical implementations show that the presented method has high efficiency, good accuracy and easy implementation.

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Section: Introductionmentioning

confidence: 99%

Analyzing of thick plates with cutouts using the meshless (EFG) method based on higher order shear deformation theories for solving shear-locking issue

Vakili

Shahabian

Rad

2021

NMCE

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“…They have been also applied to investigate the influence of surrounding fluid on the modal response of a single plate [ 34 ] and on manipulation of the particles’ motion [ 35 ]. Recently, this method has been compared with impulse hammer in modal analysis of a single simply-supported plate [ 36 ]. Another approach is determination of the Chladni figures by using optical methods [ 37 ].…”

Section: Introductionmentioning

confidence: 99%

Chladni Figures in Modal Analysis of a Double-Panel Structure

Rzepecki

Chraponska

Budzan

et al. 2020

Sensors

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Analysis of the structural vibration, under the sound excitation is an important part of the quality assurance during the design process of devices. One of the most commonly used method is Laser Doppler Vibrometry (LDV). However, under the rapid fluctuations of temperature, structural resonances are shifted into the other frequencies. In such situation LDV method may be inconvenient, due to the scanning time. In this paper the authors proposed Chladni figures to modal analysis of the double-panel structure, excited by the loudspeaker enclosed inside the casing with a rigid frame. Double-panel structure has been proven to be particularly useful for noise and vibration reduction applications. Vision images, obtained during the experiments are converted to binary patterns, using GLCM matrix, and compared with simulations performed in ANSYS.

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Steady-state response of rectangular plate with four free edges supported at internal points

2020

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Comparing and optimizing analytical, numerical and experimental vibration models for a simply-supported ribbed plate

Cited by 3 publications

References 24 publications

Analyzing of thick plates with cutouts using the meshless (EFG) method based on higher order shear deformation theories for solving shear-locking issue

Analyzing of thick plates with cutouts using the meshless (EFG) method based on higher order shear deformation theories for solving shear-locking issue

Chladni Figures in Modal Analysis of a Double-Panel Structure

Steady-state response of rectangular plate with four free edges supported at internal points

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