Volume 20, Issue 8 (August 2020)
Modares Mechanical Engineering 2020, 20(8): 2045-2060 |
Back to browse issues page
Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
Sayah Badkhor M, Mirzababaie Mostofi T, Babaei H. The Influence of Uniform and Localized Blast Loading on the Response of Single-Layered Circular Plates: Experimental Study and Regression Analysis Using Response Surface Methodology. Modares Mechanical Engineering 2020; 20 (8) :2045-2060
URL: http://mme.modares.ac.ir/article-15-40590-en.html
URL: http://mme.modares.ac.ir/article-15-40590-en.html
1- Mechanical Engineering Department, Faculty of Electrical, Computer and Mechanical Engineering, University of Eyvanekey, Eyvanekey, Iran
2- Mechanical Engineering Department, Faculty of Mechanical Engineering, University of Guilan, Rasht, Iran ,ghbabaei@guilan.ac.ir
2- Mechanical Engineering Department, Faculty of Mechanical Engineering, University of Guilan, Rasht, Iran ,
Abstract: (3501 Views)
In the present study, the experimental study and regression analysis of the dynamic response of circular plates under uniform and localized blast loading were investigated. To this end, several experiments were performed on steel plates under different conditions in the experimental section. In order to complete the database and perform a comprehensive analysis, fourteen series of experiments and 562 data in the open literature were added to the experimental results of the present study. Subsequently, the effect of the radius and thickness of the plate, the impulse of applied load, the mechanical properties of the plate, the loading radius, and the standoff distance on the maximum deflections of circular plates were simultaneously investigated using the Design-Expert software package and response surface methodology. In order to find a significant model, the confidence level of 95% was considered in the analysis. Two separate analyses were done based on the types of loading. The values of R2 for uniform and localized blast loading are equal to 0.9712 and 0.9548, respectively. The results show that the predicted values of the models are in good agreement with the experimental data and the presented models are suitable. Optimal conditions for the minimum deflection of the circular plates under dynamic loading with uniform and local distribution were also presented.
Keywords: Uniform Load, Local Load, Plate Deflection, Circular Plate, Optimization, Response Surface Methodology
Article Type: Original Research |
Subject:
Metal Forming
Received: 2020/02/10 | Accepted: 2020/05/26 | Published: 2020/08/15
Received: 2020/02/10 | Accepted: 2020/05/26 | Published: 2020/08/15
References
1. 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]
2. 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]
3. 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]
4. 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]
5. 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]
6. 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):e12235. [Link] [DOI:10.1111/str.12235]
7. Babaei H, Mirzababaie Mostofi T, Namdari-Khalilabad M, Alitavoli M, Mohammadi K. Gas mixture detonation method, a novel processing technique for metal powder compaction: Experimental investigation and empirical modeling. Powder Technology. 2017;315:171-181. [Link] [DOI:10.1016/j.powtec.2017.04.006]
8. Babaei H, Mirzababaie Mostofi T, Alitavoli M. Experimental and theoretical study of large deformation of rectangular plates subjected to water hammer shock loading. Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering. 2017;231(3):490-496. [Link] [DOI:10.1177/0954408915611055]
9. Babaei H, Mirzababaie Mostofi T, Alitavoli M, Saeidinejad A. Experimental investigation and dimensionless analysis of forming of rectangular plates subjected to hydrodynamic loading. Journal of Applied Mechanics and Technical Physics. 2017;58(1):139-147. [Link] [DOI:10.1134/S0021894417010151]
10. Babaei H, Mirzababaie Mostofi T, Alitavoli M. Experimental study and analytical modeling for inelastic response of rectangular plates under hydrodynamic loads. Modares Mechanical Engineering. 2015;15(4):361-368. [Persian] [Link]
11. Babaei H, Mirzababaie Mostofi T. New dimensionless numbers for deformation of circular mild steel plates with large strains as a result of localized and uniform impulsive loading. Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications. 2020;234(2):231-245. [Link] [DOI:10.1177/1464420716654195]
12. Rezasefat M, Mirzababaie Mostofi T, Babaei H, Ziya-Shamami M, Alitavoli M. Dynamic plastic response of double-layered circular metallic plates due to localized impulsive loading. Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications. 2019;233(7):1449-1471. [Link] [DOI:10.1177/1464420718760640]
13. Rezasefat M, Mirzababaie Mostofi T, Ozbakkaloglu T. Repeated localized impulsive loading on monolithic and multi-layered metallic plates. Thin-Walled Structures. 2019;144:106332. [Link] [DOI:10.1016/j.tws.2019.106332]
14. Babaei H, Mirzababaie Mostofi T, Sadraei SH. Effect of gas detonation on response of circular plate-experimental and theoretical. Structural Engineering and Mechanics. 2015;56(4):535-548. [Link] [DOI:10.12989/sem.2015.56.4.535]
15. Babaei H, Mirzababaie Mostofi T, Alitavoli M. Experimental investigation and analytical modelling for forming of circular-clamped plates by using gases mixture detonation. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 2020;234(5):1102-1111. [Link] [DOI:10.1177/0954406215614336]
16. Babaei H, Mirzababaie Mostofi T, Alitavoli M, Darvizeh A. Empirical modelling for prediction of large deformation of clamped circular plates in gas detonation forming process. Experimental Techniques. 2016;40(6):1485-1494. [Link] [DOI:10.1007/s40799-016-0063-3]
17. Babaei H, Mirzababaie Mostofi T, Alitavoli M. Study on the response of circular thin plate under low velocity impact. Geomechanics and Engineering. 2015;9(2):207-218. [Link] [DOI:10.12989/gae.2015.9.2.207]
18. Babaei H, Darvizeh A, Alitavoli M, Mirzababaie Mostofi T. Experimental and analytical investigation into plastic deformation of circular plates subjected to hydrodynamic loading. Modares Mechanical Engineering. 2015;15(2):305-312. [Persian] [Link]
19. Hudson G. A theory of the dynamic plastic deformation of a thin diaphragm. Journal of Applied Physics. 1951;22(1):1-11. [Link] [DOI:10.1063/1.1699815]
20. Duffey TA. Large deflection dynamic response of clamped circular plates subjected to explosive loading. Albuquerque: Sandia Corp; 1967. [Link]
21. 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]
22. Wierzbicki T, Florence AL. A theoretical and experimental investigation of impulsively loaded clamped circular viscoplastic plates. International Journal of Solids and Structures. 1970;6(5):553-568. [Link] [DOI:10.1016/0020-7683(70)90030-2]
23. Lippmann H. Kinetics of the axisymmetric rigid-plastic membrane subject to initial impact. International Journal of Mechanical Sciences. 1974;16(5):297-303. [Link] [DOI:10.1016/0020-7403(74)90046-0]
24. Symonds PS, Wierzbicki T. Membrane mode solutions for impulsively loaded circular plates. Journal of Applied Mechanics. 1979;46(1):58-64. [Link] [DOI:10.1115/1.3424528]
25. Hu YQ. Application of response number for dynamic plastic response of plates subjected to impulsive loading. International Journal of Pressure Vessels and Piping. 2000;77(12):711-714. [Link] [DOI:10.1016/S0308-0161(00)00082-X]
26. Perrone N, Bhadra P. Simplified large deflection mode solutions for impulsively loaded, viscoplastic, circular membranes. Journal of Applied Mechanics.1984;51(3):505-509. [Link] [DOI:10.1115/1.3167665]
27. Nurick GN, 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]
28. Nurick GN, 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. [Link] [DOI:10.1016/0734-743X(89)90015-8]
29. 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]
30. Jacob N, Nurick GN, Langdon GS. The effect of stand-off distance on the failure of fully clamped circular mild steel plates subjected to blast loads. Engineering Structures. 2007;29(10):2723-2736. [Link] [DOI:10.1016/j.engstruct.2007.01.021]
31. Gharababaei H, Nariman-Zadeh N, Darvizeh A. A simple modelling method for deflection of circular plates under impulsive loading using dimensionless analysis and singular value decomposition. Journal of Mechanics. 2010;26(3):355-361. [Link] [DOI:10.1017/S1727719100003919]
32. Gharababaei H, Darvizeh A, Darvizeh M. Analytical and experimental studies for deformation of circular plates subjected to blast loading. Journal of Mechanical Science and Technology. 2010;24(9):1855-1864. [Link] [DOI:10.1007/s12206-010-0602-2]
33. Babaei H, Darvizeh A. Investigation into the response of fully clamped circular steel, copper, and aluminum plates subjected to shock loading. Mechanics Based Design of Structures and Machines. 2011;39(4):507-526. [Link] [DOI:10.1080/15397734.2011.583204]
34. Babaei H, Darvizeh A. Analytical study of plastic deformation of clamped circular plates subjected to impulsive loading. Journal of Mechanics of Materials and Structures. 2012;7(4):309-322. [Link] [DOI:10.2140/jomms.2012.7.309]
35. Cloete TJ, Nurick GN. On the influence of radial displacements and bending strains on the large deflections of impulsively loaded circular plates. International Journal of Mechanical Sciences. 2014;82:140-148. [Link] [DOI:10.1016/j.ijmecsci.2014.02.026]
36. Yuen SCK, Nurick GN, Langdon G, 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]
37. 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]
38. 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]
39. 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]
40. Sayah Badkhor M, Hasanzadeh M, Mirzababaie Mostofi T. Numerical investigation and optimization on performance of sandwich panel structures with honeycomb core subjected to blast loading by response surface methodology. Amirkabir Journal of Mechanical Engineering. 2019;52(10):121-130. [Persian] [Link]
41. Sayah Badkhor M, Mirzababaie Mostofi T, Babaei H. Low-velocity impact response of plate with different geometries under hydrodynamic load: Experimental investigation and process optimization by response surface methodology. Modares Mechanical Engineering. 2020;20(4):807-818. [Persian] [Link]
42. Mirzababaie Mostofi T, Sayah Badkhor M. Experimental study and optimization of dynamic response of polymer-coated metal plates subjected to impact loading using response surface methodology. Modares Mechanical Engineering. 2020;20(4):1011-1023. [Persian] [Link]
43. Sayah Badkhor M, Mirzababaie Mostofi T, Babaei H. Dynamic response of metal powder subjected to low-velocity impact loading: Experimental investigation and optimization using response surface methodology. Modares Mechanical Engineering. 2020;20(4):863-876. [Persian] [Link]
44. Bodner SR, Symonds PS. Experiments on viscoplastic response of circular plates to impulsive loading. Journal of the Mechanics and Physics of Solids. 1979;27(2):91-113. [Link] [DOI:10.1016/0022-5096(79)90013-9]
45. Teeling-Smith RG, Nurick GN. The deformation and tearing of thin circular plates subjected to impulsive loads. International Journal of Impact Engineering. 1991;11(1):77-91. [Link] [DOI:10.1016/0734-743X(91)90032-B]
46. Nurick GN, Teeling-Smith RG. Predicting the onset of necking and hence rupture of thin plates loaded impulsively-an experimental view. Structures Under Shock and Impact II: Proceedings of the Second International Conference, 16-18 June 1992, Portsmouth, United Kingdom. London: Thomas Telford Publishing; 1992. [Link]
47. Thomas B. The effect of boundary conditions on thin plates subjected to impulsive loading [dissertation]. Cape Town: University of Cape Town; 1995. [Link]
48. Nurick GN, Gelman ME, Marshall NS. Tearing of blast loaded plates with clamped boundary conditions. International Journal of Impact Engineering. 1996;18(7-8):803-827. [Link] [DOI:10.1016/S0734-743X(96)00026-7]
49. Nurick GN, Lumpp DM. Deflection and tearing of clamped stiffened circular plates subjected to uniform impulsive blast loads. WIT Press. 1996;25:393-404. [Link]
50. 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]
51. Yuen SCK, Nurick GN. Deformation and tearing of uniformly blast-loaded quadrangular stiffened plates. Proceedings of the International Conference on Structural Engineering, Mechanics and Computation, 2-4 April 2001, Cape Town, South Africa. Amsterdam: Elsevier Science; 2001. [Link] [DOI:10.1016/B978-008043948-8/50114-4]
Send email to the article author
| Rights and permissions | |
 |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |