Bilateral Compression and Bending of a Plate with All Edges Elastically Fixed (Approximate Solution)
Keywords:
compression, bending, plate, elastically hinged edges, torsion, stiffnessAbstract
In this paper, we consider the solution to the problem of a plate elastically fixed at all edges with thin-walled open-profile rods and subjected to simultaneous bilateral compression and transverse loads of intensity q.
Downloads
Published
Issue
Section
License
Copyright (c) 2026 The author(s)
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
References
Beilin E.A., Melikulov N.M. On the stability of rectangular plates reinforced with thin-walled rods. – In: Structural mechanics and calculation of structures: Scientific and Technical Journal. M. Publishing House of Literature on Construction. 1980, No. 5, pp. 38-42.
Bleikh F. Stability of metal structures. M. Fizmatgiz. 1959.
Broude B.M. Stability of plates in elements of steel structures. M. Mashstroyizdat. 1949.
Volmir A.S. Stability of elastic systems. M. Fizmatgiz. 1967.
Melikulov N.M. Study of stability and stiffness of plates reinforced with thin-walled rods under various loading cases. – In: Structural Engineering. Interuniversity Thematic collection of papers -L. LISI, 1980. pp. 76-85.
Timoshenko S.P. Stability of elastic systems. M. Gostekhizdat, 1955.
Volkovich F.V., Complex bending of a plate fixed at its long edges and compressed or stretched along its short edges. - In: Proceedings of the VNITOOS, Vol. II, issue 4, Leningrad, Main Editorial Board of Shipbuilding Literature, 1938.
8.Muszkowska H. Plyty prostokatne o dwoch krawedziach przeciwleglych swobodnie podparnech i pozostalech sprezyscie zamocowanech. Prace Naykowe Insnytutu Budownictwa Politechniki Wroclawskcy.1973,Nr.11.
Ferachian R.H. Buckling of biaxially compressed long rectangular plates elastically restrained along the long edges and simply supported along the short edges. Proc. Inst. Engrs. Part 2. Montreal, 1975
Melikulov N., Khodjabekov, M. U., Ismatova D. M., Otaqylov A. Free vibrations of the plate with the account of the influence of longitudinal forces perceived by the reinforcing rods. European Journal of Research. volume 5, issue 8 2020 pages 20- 25
Melikulov N, Otaqylov A. Unloaded plates free vibrations, supported by elastic thin-walled rods. INTERNATIONAL JOURNAL ON ORANGE TECHNOLOGIES www.journalsresearchparks.org/index.php/IJOT Volume: 02 Issue: 11 | November 2020
Melikulov N. Stability of Elongated Plates Reinforced along the Contour with
Thin-Walled Rods. International Journal of Advanced Research in Science, Engineering and Technology Vol. 8, Issue 12, December 2021.
Melikulov N., Shodmonkulova N. U. Free Vibrations of a Plate Stretched along the Reinforced Sides International Journal of Innovative Analyses and Emerging Technology
Volume: 1 Issue: 5. 2021
Melikulov N., Khushvaktov U. Stability of Long Plates with Non-Symmetric Reinforcement of the Edges with Thin-Walled Rods. Middle European Scientific Bulletin, VOL. 19 Dec 2021.
M. M. Mirsaidov, O. M. Dusmatov and M. U. Khodjabekov, “Stability of nonlinear vibrations of plate protected from vibrations”. Journal of Physics: Conference Series, 1921, (2021), https://doi.org/10.1088/1742-6596/1921/1/012097
M. M. Mirsaidov, O. M. Dusmatov and M. U. Khodjabekov, “The problem of mathematical modeling of a vibration protected rod under kinematic excitations” in Proceedings of VII International Scientific Conference Integration, Partnership and Innovation in Construction Science and Education, November 11-14, 2020, Tashkent, https://doi.org/10.1088/1757-899X/1030/1/012069
M. M. Mirsaidov, O. M. Dusmatov and M. U. Khodjabekov, Mode shapes of transverse vibrations of a rod protected from vibrations in kinematic excitations, Lecture Notes in Civil Engineering. 170, 217–227 (2022). doi.org/10.1007/978-3-030-79983-0_20
K.Ismayilov, K.Karimova Application of used automobile tire granules for road construction in Uzbekistan. Journal of Critical Reviews, 2020. Vol. 7, No. 12, pp 946-948. DOI: 10.31838/jcr.07.12.165
K.Ismayilov Critical strains and critical stresses in the steel rod beyond the elastic limit. European Science Review. 2018, No. № 5-6.
K.Ismayilov, K. Karimova. The Impact of Automobile Tires on the Environment from the Period of Raw Materials to the Disposal of Them, Retrieval Volume-8 Issue-3, September 2019. Number: C4473098319/19©BEIESP DOI:10.35940/ijrte.C4473.098319
K.Ismaylov, A. Suleymanov, S. Toshev. Option of the Method of Successive Approximations in Calculating the Epicenters of Extreme and Emergency Situations. Ilkogretim Online - Elementary Education Online, 2021; 20 (3): pp. 1640-1647 http://ilkogretim-online.org doi: 10.17051/ilkonline. 2021.03.186
