The flexural vibration of welded rectangular plates

Kaldas, Mina M.S.; Dickinson, S.M.

doi:10.1016/0022-460x(81)90337-0

Cited by 22 publications

(15 citation statements)

References 5 publications

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“…Reviewing the previous works about buckling behavior of various structures, it is evident that Rayleigh-Ritz technique is one of the most applied numerical methods to analyze the stability of the structures under different loading conditions. Kaldas and Dickinson [29] used Rayleigh-Ritz approach for solution of the elastic buckling and flexural vibration problems of thin rectangular plates in which appropriate beam functions were implemented. A mathematical modeling for generally laminated plates based on generalized differential quadrature rule and Rayleigh-Ritz method is developed by Darvizeh et al [30].…”

Section: Introductionmentioning

confidence: 99%

Rayleigh–Ritz axial buckling analysis of single-walled carbon nanotubes with different boundary conditions

2011

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Section: Introductionmentioning

confidence: 99%

Rayleigh–Ritz axial buckling analysis of single-walled carbon nanotubes with different boundary conditions

2011

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“…In addition, every method has its own advantages and limitations. It has been demonstrated that welding residual stresses cause modal variations in welded plates, when comparing to similar non-welded plates [1,2]. In welded plates, the natural frequencies are reduced as a result of compressive longitudinal residual stresses predomination [3].…”

Section: Introductionmentioning

confidence: 99%

“…Research in the field has been developed using experimental, analytical and numerical methods, and numerical models are being validated by the experiments. However, different experiments have been developed using both, beadon-plate (BOP) and butt welding techniques [1][2][3][5][6][7]. In a bead-on plate experiment, the plate is not cut in its center; the weldment is done over the plate surface, usually on its transversal center line.…”

Section: Introductionmentioning

confidence: 99%

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Comparing the dynamic response of bead-on-plate and butt-welded plates

Macanhan

Corrêa

Silva

2018

J Braz. Soc. Mech. Sci. Eng.

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Some studies have been developed to demonstrate that welded plates have their natural frequencies reduced when comparing them to non-welded similar plates, which is caused by welding residual stress. This phenomenon can be used to develop a new welding residual stress detection method. This new method, analyzing the plate vibrational responses, would have the advantage of being nondestructive, when comparing to hole drilling, and simpler and cheaper than X-ray diffraction, ultrasound and neutron diffraction methods. Therefore, in the search of this new technique, more research is being developed and more progress is still required. Some experimental work in the field has used bead-on-plate weldments for data analysis. However, this work demonstrates that bead-on-plate weldments do not present the same vibrational responses due to welding residual stress than butt-welded plates. This experimental work compares the vibrational responses of two identical plates welded by two different manners: bead-on-plate and butt-welded. Two stainless steel AISI 316L plates, with 302 × 150.5 × 6.30 mm, were tested. First, the entire plates had their natural frequencies measured, using a laser vibrometer. Then, one plate was Gas Tungsten Arc welded bead-on-plate on its center. The other plate was wire Electrical Discharge Machining cut in its center and then butt-welded. There was no material addition, in order to avoid additional mass interference in the natural frequencies values. Finally, the natural frequencies were measured again and the variations were calculated for the first six vibrational modes. Even though it was employed the same heat inputs and welding parameters in both welds, it is shown that the butt weld had higher modal variations than the bead-on-plate. The higher modal variations in the butt-welded plate indicate that butt weld induced higher welding residual stresses in the plates than bead-on-plate. Therefore, this work demonstrates that researchers willing to advance in the studies about the new welding residual stress method using vibrational responses should be attentive to this disparity.

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“…Specifically the case of welding residual stresses, less reports can be found in the literature. Kaldas e Dickinson [14] used the Rayleigh-Ritz approach combined with the finite difference method to model the influence of welding residual stresses in the vibration natural frequencies of rectangular thin plates.…”

Section: Introductionmentioning

confidence: 99%

On the Influence of Welding Residual Stresses on the Dynamic Behavior of Structures

Bezerra

Vieira

Rade

et al. 2008

Shock and Vibration

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It is widely known that welding processes induce the generation of residual stresses, which, through the so-named stress stiffening effect, can influence the static and dynamic behavior of the welded components. Thus, accounting for this influence becomes important for the understanding of experimental observations and accurate modeling of the dynamic behavior. In this study, the numerical and experimental characterization of the influence of welding residual stresses on the flexural dynamic characteristics of rectangular plates is addressed. It is suggested a general modeling methodology based on finite elements comprising three subsequent analyses, namely: a thermal analysis to compute the transient temperature history due to welding thermal loading; a structural analysis accounting for plastic strains to obtain the welding residual stress fields and geometric distortions, and a dynamic analysis to compute the dynamic characteristics taking into account the stress-stiffening effect and geometric distortions. The results demonstrate the importance of considering the influence of welding residual stresses in the prediction of the flexural dynamic behavior of plates and the feasibility and efficiency of the simplified modeling approach, which can readily be extended to more complex situations, for characterizing this influence.

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The flexural vibration of welded rectangular plates

Cited by 22 publications

References 5 publications

Rayleigh–Ritz axial buckling analysis of single-walled carbon nanotubes with different boundary conditions

Rayleigh–Ritz axial buckling analysis of single-walled carbon nanotubes with different boundary conditions

Comparing the dynamic response of bead-on-plate and butt-welded plates

On the Influence of Welding Residual Stresses on the Dynamic Behavior of Structures

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