Buckling analysis of perforated square plates with different oriented various shaped polygon holes
Öz
Buckling of the plates is of great importance in design of structures. If the plate has a hole because of necessity, hole area and shape also affect the critical buckling loads. In this study, buckling analyses of perforated simply supported square plates with various perforation patterns and different loading types were investigated. Three different perforation patterns as circular, hexagonal and square with different orientations were considered. In order to investigate the slenderness ratio effect, samples were calculated with three different ratio values of 100, 20 and 10. The samples were loaded with four different in-plane loads to examine the effect of loading type. Analyses were performed by using a general purpose finite element program and critical buckling loads were determined depending on the orientation angles for square plate models with different hole perforations. The critical buckling load is independent from the orientation angle for circular perforated plates but depends on for hexagonal and square hole perforations. For these plates buckling analyses were performed for different orientation angles of 0 degrees to 90 degrees. The results show that the calculated critical buckling loads did not remain the same although the hole areas were the same.
Anahtar Kelimeler
Buckling analysis, Hexagonal hole, Orientation angle, Perforated plates
Kaynakça
- Al Qablan, H. (2022). Applicable formulas for shear and thermal buckling of perforated rectangular panels. Advances in Civil Engineering, 2022, https://doi.org/10.1155/2022/3790462
- Al Qablan, H., Rabab’ah, S., Abu Alfoul, B., & Al Hattamleh, O. (2022). Semi-empirical buckling analysis of perforated composite panel. Mechanics Based Design of Structures and Machines, 50(8), 2635-2652 https://doi.org/10.1080/15397734.2020.1784198
- Albayrak, U., & Saraçoğlu, M. H. (2018). Analysis of regular perforated metal ceiling tiles. International Journal of Engineering and Technology, 10(6), 440–446. https://doi.org/10.7763/ijet.2018.v10.1099
- Baumgardt, G. R., Fragassa, C., Rocha, L. A. O., dos Santos, E. D., da Silveira, T., & Isoldi, L. A. (2023). Computational model verification and validation of elastoplastic buckling due to combined loads of thin plates. Metals, 13(4), 731–751. https://doi.org/ 10.3390/MET13040731
- Brown, C. J., Yettram, A. L., & Burnett, M. (1987). Stability of plates with rectangular holes. Journal of Structural Engineering, 113(5), 1111–1116. https://doi.org/10.1061/(ASCE)0733-9445(1987)113:5(1111)
- Bryan, G. H. (1891). On the stability of a plane plate under thrusts in its own plane with applications to the buckling of the sides of a ship. Proceedings of London Mathematics Society, s1-22(1), 54–67. https://doi.org/10.1112/plms/s1-22.1.54
- Chow, F.-Y., & Narayanan, R. (1984). Buckling of plates containing openings. 7th International Specialty Conference on Cold-Formed Steel Structures, 39–53. https://scholarsmine.mst.edu/isccss/7iccfss/7iccfss-session2/1
- Dehadray, P.M., Alampally, S., & Lokavarapu, B. R. (2021). Buckling analysis of thin isotropic square plate with rectangular cut-out. International Conference on Innovations in Mechanical Engineering, 71–86. https://doi.org/10.1007/978-981-16-7282-8_6
- Fu, W. & Wang, B. (2022). A semi-analytical model on the critical buckling load of perforated plates with opposite free edges. Original Research Article Proc IMechE Part C: J Mechanical Engineering Science, 236(9), 4885–4894. https://doi.org/10.1177/09544062211056890
- Guo, Y. & Yao, X. (2021). Buckling behavior and effective width design method for thin plates with holes under stress gradient. Mathematical Problems in Engineering, 2021. https://doi.org/10.1155/2021/5550749