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THE BUCKLING ANALYSIS OF A RECTANGULAR PLATE ELASTICALLY CLAMPED ALONG THE LONGITUDINAL EDGES
Authors:
Ivan Miletić1, Marko Miletić2
1Faculty of Engineering, University of Kragujevac, Serbia
2Fiat Chrysler Automobiles, Serbia
Received: 12 January 2016
Accepted: 25 March 2016
Available: 30 June 2016
Abstract:
The paper analyses the stability of a rectangular plate which is elastically buckled along longitudinal edges and pressed by equally distributed forces. A general case is analyzed – different stiffness elastic clamping and then special simpler cases are considered.
Energy method is used in order to determine critical stress. Deflection function is introduced in a convenient way so that it reflects the actual state of the plate deformation in the best manner. In this way, critical stress is determined in analytic form suitable for analysis.
With help of the equation it is easy to conclude how certain parameters influence the value of critical stress. The paper indicates how the obtained solution could be utilized for determining local buckling critical stress in considerably more complex systems – pressed thin-walled beams of an arbitrary length.
Keywords:
Plates, local buckling, analytical solution, critical stress.
References:
[1] S. P. Timoshenko: Theory оf Elastic Stability, McGraw-Нill Book Соmраnу, inc., New York and London 1936.
[2] А. Pflüger: Stаbilitätsрrоblmе der Elostostatik, Springer-Verlag, Berlin-Göttingen-Heidelberg, New York, 1964.
[3] L. Euler: Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti, Lausanne, 1744., in quatro
[4] S. Wolfram: The Mathematica Book – 5th edition, Wolfram Media 2003
[5] A. Teter: Coupled dynamic buckling of thin-walled composite columns with open crosssections, Thin-Walled Structures, 2011, pp 589–595.
[6] A Teter: Static and dynamic interactive buckling of isotropic thin-walled closed columns with variable thickness, Thin-Walled Struct, 2007., pp. 936–940.
[7] P. E. Fenner, A. Watson: Finite element buckling analysis of stiffened plates with filleted junctions, Thin-Walled Structures, 2012., pp 171–180.
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0)
Volume 10
Number 4
December 2025
Last Edition
Volume 10
Number 4
December 2025
How to Cite
I. Miletić, M. Miletić, The Buckling Analysis of a Rectangular Plate Elastically Clamped Along the Longitudinal Edges. Applied Engineering Letters, 1(1), 2016: 24-28.
More Citation Formats
Miletić, I., & Miletić, M. (2016). The Buckling Analysis of a Rectangular Plate Elastically Clamped Along the Longitudinal Edges. Applied Engineering Letters, 1(1), 24-28.
Miletić, Ivan, and Marko Miletić, “The Buckling Analysis of a Rectangular Plate Elastically Clamped Along the Longitudinal Edges.“ Applied Engineering Letters, vol. 1, no. 1, 2016, pp. 24-28.
Miletić, Ivan, and Marko Miletić. 2016. “The Buckling Analysis of a Rectangular Plate Elastically Clamped Along the Longitudinal Edges.“ Applied Engineering Letters, 1 (1): 24-28.
Miletić, I. and Miletić, M. (2016). The Buckling Analysis of a Rectangular Plate Elastically Clamped Along the Longitudinal Edges. Applied Engineering Letters, 1(1), pp. 24-28.
Journal Menu
Archive
THE BUCKLING ANALYSIS OF A RECTANGULAR PLATE ELASTICALLY CLAMPED ALONG THE LONGITUDINAL EDGES
Authors:
Ivan Miletić1, Marko Miletić2
1Faculty of Engineering, University of Kragujevac, Serbia
2Fiat Chrysler Automobiles, Serbia
Received: 12 January 2016.
Accepted: 25 Mart 2016.
Available: 30 June 2016.
Abstract:
The paper analyses the stability of a rectangular plate which is elastically buckled along longitudinal edges and pressed by equally distributed forces. A general case is analyzed – different stiffness elastic clamping and then special simpler cases are considered.
Energy method is used in order to determine critical stress. Deflection function is introduced in a convenient way so that it reflects the actual state of the plate deformation in the best manner. In this way, critical stress is determined in analytic form suitable for analysis.
With help of the equation it is easy to conclude how certain parameters influence the value of critical stress. The paper indicates how the obtained solution could be utilized for determining local buckling critical stress in considerably more complex systems – pressed thin-walled beams of an arbitrary length.
Keywords:
Plates, local buckling, analytical solution, critical stress.
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0)
Volume 10
Number 4
December 2025
Last Edition
Volume 10
Number 4
December 2025