Volume 20, Issue 10 (October 2020)
Modares Mechanical Engineering 2020, 20(10): 2495-2507 |
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Mirzababaie mostofi T, Sayah Badkhor M, Babaei H. The Effect of Extreme Dynamic Loading on Plastic Deformation of Quadrangular Plates: Experimental Investigation, Regression Analysis, and Multi-Objective Optimization. Modares Mechanical Engineering 2020; 20 (10) :2495-2507
URL: http://mme.modares.ac.ir/article-15-43265-en.html
URL: http://mme.modares.ac.ir/article-15-43265-en.html
1- Mechanical Engineering Department, Electrical, Computer and Mechanical Engineering Faculty, University of Eyvanekey, Eyvanekey, Iran
2- Mechanical Engineering Department, Mechanical Engineering Faculty, University of Guilan, Rasht, Iran ,ghbabaei@guilan.ac.ir
2- Mechanical Engineering Department, Mechanical Engineering Faculty, University of Guilan, Rasht, Iran ,
Abstract: (1644 Views)
In present study, the experimental investigation and regression analysis of the large plastic deformation of square and rectangular plates subjected to extreme dynamic loading with uniform and localized distribution were discussed. In the experimental section, 5 experiments were conducted on mild steel plates with different thicknesses. To perform the regression analysis and multi-objective optimization, Design-Expert software in conjunction with the response surface methodology were exerted. Subsequently, the effect of parameters such as the thickness of the plate, the impulse of applied load, the mechanical properties of the plate, the loading radius, and the ratio of width to length of the plate on the maximum deflection of quadrangular plates was simultaneously investigated. Two separate analyses based on statistical analysis and ANOVA were performed for each type of uniform and localized loading. The values obtained for the coefficient of determination (R2) of two types of uniform and localized loading showed that the models have a good prediction ability of the experimental results and it can be used to evaluate the plastic deformation of the quadrangular plates. Subsequently, the optimal conditions for each effective parameter including yield stress and width to length ratio were determined with respect to considering the minimum values for central deflection and plate thickness simultaneously. The multi-objective optimization results were compared to the experimental results of the present study.
Keywords: Experimental Test, Quadrangular Plate, Uniform Loading, Localized Loading, Multi-Objective Optimization
Article Type: Original Research |
Subject:
Metal Forming
Received: 2020/05/30 | Accepted: 2020/08/10 | Published: 2020/10/11
Received: 2020/05/30 | Accepted: 2020/08/10 | Published: 2020/10/11
References
1. Jones N, Uran TO, Tekin SA. The dynamic plastic behavior of fully clamped rectangular plates. International Journal of Solids and Structures. 1970;6(12):1499-1512. [Link] [DOI:10.1016/0020-7683(70)90060-0]
2. Jones N. A theoretical study of the dynamic plastic behavior of beams and plates with finite-deflections. International Journal of Solids and Structures. 1971;7(8):1007-1029. [Link] [DOI:10.1016/0020-7683(71)90078-3]
3. Olson MD, Nurick GN, Fagnan JR. Deformation and rupture of blast loaded square plates-predictions and experiments. International Journal of Impact Engineering. 1993;13(2):279-291. [Link] [DOI:10.1016/0734-743X(93)90097-Q]
4. Nurick GN, Conolly AG. Response of clamped single and double stiffened rectangular plates subjected to blast loads. WIT Transactions on The Built Environment. 1970;8:207-220. [Link]
5. Nurick GN, Shave GC. The deformation and tearing of thin square plates subjected to impulsive loads-an experimental study. International Journal of Impact Engineering. 1996;18(1):99-116. [Link] [DOI:10.1016/0734-743X(95)00018-2]
6. Jacob N, Yuen SCK, Nurick GN, Bonorchis D, Desai SA, Tait D. Scaling aspects of quadrangular plates subjected to localised blast loads-experiments and predictions. International Journal of Impact Engineering. 2004;30(8-9):1179-1208. [Link] [DOI:10.1016/j.ijimpeng.2004.03.012]
7. Yuen SCK, Nurick GN. Experimental and numerical studies on the response of quadrangular stiffened plates. Part I: subjected to uniform blast load. International Journal of Impact Engineering. 2005;31(1):55-83. [Link] [DOI:10.1016/j.ijimpeng.2003.09.048]
8. Bonorchis D, Nurick GN. The effect of welded boundaries on the response of rectangular hot-rolled mild steel plates subjected to localised blast loading. International Journal of Impact Engineering. 2007;34(11):1729-1738. [Link] [DOI:10.1016/j.ijimpeng.2006.11.002]
9. Nurick G, Pearce HT, Martin JB. Predictions of transverse deflections and in-plane strains in impulsively loaded thin plates. International Journal of Mechanical Sciences. 1987;29(6):435-442. [Link] [DOI:10.1016/0020-7403(87)90004-X]
10. Nurick GN, Martin JB. Deformation of thin plates subjected to impulsive loading-a review: Part I: Theoretical considerations. International Journal of Impact Engineering. 1989;8(2):159-170. [Link] [DOI:10.1016/0734-743X(89)90014-6]
11. Nurick G, Martin JB. Deformation of thin plates subjected to impulsive loading-a review part II: Experimental studies. International Journal of Impact Engineering. 1989;8(2):171-186. [] [DOI:10.1016/0734-743X(89)90015-8]
12. Chen W. A new bound solution for quadrangular plates subjected to impulsive loads. The Third International Offshore and Polar Engineering Conference, 6-11 June 1993, Singapore, Singapore. Mountain View: International Society of Offshore and Polar Engineers; 1993 [Link]
13. Shen WQ, Jones N. Dynamic response and failure of fully clamped circular plates under impulsive loading. International Journal of Impact Engineering. 1993;13(2):259-278. [Link] [DOI:10.1016/0734-743X(93)90096-P]
14. Li QM, Jones N. On dimensionless numbers for dynamic plastic response of structural members. Archive of Applied Mechanics. 2000;70(4):245-254. [Link] [DOI:10.1007/s004199900072]
15. Park BW, Cho SR. Simple design formulae for predicting the residual damage of unstiffened and stiffened plates under explosion loadings. International Journal of Impact Engineering. 2006;32(10):1721-1736. [Link] [DOI:10.1016/j.ijimpeng.2005.01.005]
16. Jones N. Dynamic inelastic response of strain rate sensitive ductile plates due to large impact, dynamic pressure and explosive loadings. International Journal of Impact Engineering. 2014;74:3-15. [Link] [DOI:10.1016/j.ijimpeng.2013.05.003]
17. Mirzababaie Mostofi T, Babaei H, Alitavoli M. Theoretical analysis on the effect of uniform and localized impulsive loading on the dynamic plastic behaviour of fully clamped thin quadrangular plates. Thin-Walled Structures. 2016;109:367-376. [Link] [DOI:10.1016/j.tws.2016.10.009]
18. Mirzababaie Mostofi T, Golbaf A, Mahmoudi A, Alitavoli M, Babaei H. Closed-form analytical analysis on the effect of coupled membrane and bending strains on the dynamic plastic behaviour of fully clamped thin quadrangular plates due to uniform and localized impulsive loading. Thin-Walled Structures. 2018;123:48-56. [Link] [DOI:10.1016/j.tws.2017.11.010]
19. Yuen SCK, Nurick GN, Langdon GS, Iyer Y. Deformation of thin plates subjected to impulsive load: Part III-an update 25 years on. International Journal of Impact Engineering. 2017;107:108-117. [Link] [DOI:10.1016/j.ijimpeng.2016.06.010]
20. Golmakani H, Moradi Besheli S, Mazdak S, Sharifi E. Experimental and numerical investigation important parameters in deep drawing square sections two layers sheet with rubber matrix. Modares Mechanical Engineering. 2016;16(2):79-87. [Persian] [Link]
21. Mostafapour A, Kamali H, Moradi M. Friction surfacing of AA7075-T6 deposition on AA2024-T351; Statistical modeling using response surface methodology. Modares Mechanical Engineering. 2017;17(8):224-230. [Persian] [Link]
22. Bigdeli A, Damghani Nouri M. Experimental and numerical analysis and multi-objective optimization of quasi-static compressive test on thin-walled cylindrical with internal networking. Mechanics of Advanced Materials and Structures. 2018;26(19):1644-1660. [Link] [DOI:10.1080/15376494.2018.1444231]
23. Babaei H, Mirzababaie Mostofi T, Armoudli E. On dimensionless numbers for the dynamic plastic response of quadrangular mild steel plates subjected to localized and uniform impulsive loading. Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering. 2017;231(5):939-950. [Link] [DOI:10.1177/0954408916650713]
24. Mirzababaie Mostofi T, Babaei H, Alitavoli M. The influence of gas mixture detonation loads on large plastic deformation of thin quadrangular plates: Experimental investigation and empirical modelling. Thin-Walled Structures. 2017;118:1-11. [Link] [DOI:10.1016/j.tws.2017.04.031]
25. Mirzababaie Mostofi T, Babaei H, Alitavoli M, Lu G, Ruan D. Large transverse deformation of double-layered rectangular plates subjected to gas mixture detonation load. International Journal of Impact Engineering. 2019;125:93-106. [Link] [DOI:10.1016/j.ijimpeng.2018.11.005]
26. Mirzababaie Mostofi T, Babaei H, Alitavoli M. Experimental and theoretical study on large ductile transverse deformations of rectangular plates subjected to shock load due to gas mixture detonation. Strain. 2017;53(4):12235. [Link] [DOI:10.1111/str.12235]
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