Buckling of Flat Thin Plates under Combined Loading

Dima, Ion; Carafoli, Elie

doi:10.13111/2066-8201.2015.7.1.8

Cited by 3 publications

(4 citation statements)

References 1 publication

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“…The general equation of the sheet considering different boundary conditions including simply supported (hinged), clamped (fixed) edges, and single or combined loading of bending, compression, and shear can be written as. 17,19 Where N x , N y , and N xy are the critical distributed flow forces (N/mm); w is the displacement in the normal direction on the sheet; t is the thickness of the sheet (mm), and D is the bending stiffness of the sheet. The normal and shearing stresses can be defined as: Transverse stiffeners are also important to be considered to preserve the straight boundaries for computing the shear buckling of the plate.…”

Section: Buckling Deformationmentioning

confidence: 99%

“…The following formulas for the corresponding buckling stresses are obtained. 19 Where σ c c , 0 is the critical single compression stress; τ c r , 0 is the critical single shear stress; σ c f , 0 is the critical single bending stress; η is the plasticity factor; E is the Young's modulus (N/mm 2 ), while K is the buckling factor, which equals to K = k false( π 2 .1em 12 false( 1 − v e 2 false) false) , where k is given depending on ( a / b ) ratio. If the sheet is loaded with a transverse compression stress (as per y ), then b should be replaced by (a) in Equation (3).…”

Section: Buckling Deformationmentioning

confidence: 99%

“…Therefore, it is considered as a clamped supported condition. 19 Thus, the boundary conditions can be represented by the following equation, For plate fixed at all edges and subjected to in-plane compressive stresses over the short edges, the mode of buckling deformation is shown in Figure 3(a), and the Euler buckling equation is given by, …”

Section: Buckling Deformationmentioning

confidence: 99%

“…Therefore, it is considered as a clamped supported condition. 19 Thus, the boundary conditions can be represented by the following equation,…”

mentioning

confidence: 99%

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Investigating the buckling deformation of thin metal sheets during the blanking process

Al-Rubaye

Abid

2023

Proceedings of the Institution of Mechanical Engineers, Part L:

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This article describes the effect of the generated stresses due to the cutting process on the possibility of the occurrence of buckling deformation in a thin sheet, which could affect the performance of the cut part, especially for some applications such as the cutting of the thin sheet laminations of motor parts. To achieve the research objectives, an experimental approach was followed. Two different thicknesses and two-grain orientations of silicon steel material were applied to investigate the influence of thickness and grain orientation upon the induced buckling deformation. Blanking dies were designed to cut thin sheets of steel at different cutting speeds. Buckling height was measured optically using a 3D microscope with regard to the cutting parameters. The results showed the appearance of buckling deformation only at low sheet thickness. The maximum buckling height was about 164 µm (82% of the material thickness) in the transverse grain direction at the lower cutting speed. Meanwhile, the results also demonstrated the presence of an elongation in the material of approximately 90 µm (1.8%) on the cutting sides, which played a role in the application of pressure to all sides of the cut plate, resulting in the formation of a plastic buckling deformation prior to the completion of the cutting process, and thus the occurrence of the buckling phenomenon.

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Section: Buckling Deformationmentioning

confidence: 99%

Section: Buckling Deformationmentioning

confidence: 99%

Section: Buckling Deformationmentioning

confidence: 99%

“…Therefore, it is considered as a clamped supported condition. 19 Thus, the boundary conditions can be represented by the following equation,…”

mentioning

confidence: 99%

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Investigating the buckling deformation of thin metal sheets during the blanking process

Al-Rubaye

Abid

2023

Proceedings of the Institution of Mechanical Engineers, Part L:

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Comparative Analysis Program for Experimental and Calculated Data

Dima¹,

Mihaela²,

Stefan³

et al. 2017

INCAS BULLETIN

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On the Solution to Pre- Buckling of a Thin Rectangular Plate Subjected to a Thick Strip in-plane Loading

Nagler¹

2021

1790-5044

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The current paper deals with the problem of the simply supported thin rectangular plate subjected to the intermediate strip in-plane loading. Based on the strain energy method (Fourier ansatz), the critical (minimum value) of buckling stress occurrence was determined in a general form dependent only on the strip thickness, strip location, plate width and stress magnitude. Compatible with the classical columns Euler method it was found that the plate stability is decreased with the increasing of the plate width due to larger induced stresses. Also, strip location relative to the support region was found to influence the buckling (same analogy to the Euler buckling theory; consider the strip as a both sides pressed rod). Additionally, the strip width parameter increase is likely to cause larger buckling stress. Moreover, expressions that includes both axial and transverse loads for different extended cases configurations were also derived and examined based on the strain energy method alongside explanation for possible applications (thin aluminum plate welding). In a general view, it was found that the cases of combined axial and perpendicular loading action are less stabilized than cases where only one kind of loading configuration is participated. Finally, the buckling stress was found to agree qualitatively with the cited literature.

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Buckling of Flat Thin Plates under Combined Loading

Cited by 3 publications

References 1 publication

Investigating the buckling deformation of thin metal sheets during the blanking process

Investigating the buckling deformation of thin metal sheets during the blanking process

Comparative Analysis Program for Experimental and Calculated Data

On the Solution to Pre- Buckling of a Thin Rectangular Plate Subjected to a Thick Strip in-plane Loading

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