بررسی تجربی و مدل‌سازی ریاضی پاسخ ورق‌های فلزی مدور تحت بارگذاری دینامیکی شدید پی‌درپی

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشکده مهندسی مکانیک، دانشگاه گیلان

2 دانشیار، دانشکده مهندسی مکانیک، دانشگاه گیلان، رشت، ایران

3 استادیار گروه مهندسی مکانیک دانشگاه ایوان کی

4 استاد، دانشکده مهندسی مکانیک، دانشگاه ایوان‌کی، ایوان‌کی، ایران

چکیده

در پژوهش حاضر، رفتار پلاستیک ورق‌های مدور تحت بارگذاری دفعی مکرر بررسی ‌شده‌است. در بخش تجربی از سامانه پاندول بالستیک جهت اعمال بار دینامیکی و ورق‌های آلیاژ آلومینیوم استفاده شد. جهت بررسی پروفیل تغییر شکل و الگوی شکست نمونه‌ها، بار دینامیکی در محدوده وسیعی از 6/49 تا 24/69 نیوتن در ثانیه اعمال شد. جهت بررسی رفتار تحت بارگذاری مکرر، هر آزمایش تا 5 دفعه بارگذاری ادامه پیدا کرد. مشاهدات تجربی بیانگر تغییر شکل پلاستیک بزرگ سازه همراه با نازک‌شدگی نمونه‌های آزمایشی در مرزهای گیردار و همچنین پارگی برخی در همین ناحیه است. نتایج مشخص کرد که با افزایش تعداد دفعات انفجار و جرم خرج، خیز دائمی افزایش می‌یابد ولی خیز پیش‌رونده ورق به‌صورت نمایی کاهش می‌یابد. در بخش مدل‌سازی، با بهره‌گیری از روش تحلیل ابعادی، روابطی با فرم بسته بر مبنای اعداد بدون بعد به منظور پیش‌بینی بیشترین خیز دائمی ورق استخراج شد که بر اساس مراجع موجود، تاکنون در ادبیات موضوع ارائه نشده‌است. در این روابط، تأثیر پارامترهای مختلف مانند هندسه ورق، اینرسی بار اعمال‌شده و حساسیت ماده به نرخ کرنش در نظر گرفته‌شد. مقایسه نتایج حاصل از مدل با نتایج تجربی نشان داد که توافق بسیار خوبی بین نتایج تجربی و پیش‌بینی‌های مدل حاصل ‌شده‌است.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Experimental investigation and mathematical modeling of the response of circular metallic plates under successive intense dynamic loading

نویسندگان [English]

  • Mojtaba Ziya-Shamami 1
  • Hashem Babaei 2
  • Tohid Mirzababaie Mostofi 3
  • Hossein Khodarahmi 4
1 Faculty of Mechanical Enginnerig, University of Guilan
2 Associate professor, Faculty of Mechanical Engineering, University of Guilan, Rasht, Iran
3 Faculty of Engineering, Mechanical Engineering Department, University of Eyvanekey
4 Professor, Faculty of Mechanical Engineering, University of Eyvanekey, Eyvanekey, Iran
چکیده [English]

In the current research, the plastic behavior of circular plates under dynamic loading was investigated. In the experimental section, a ballistic pendulum apparatus and aluminum alloy plates were used. To investigate the deformation profile and the failure pattern of the specimens, dynamic loads were applied in a wide range from 6.49 to 24.69 Ns. To test the behavior under successive loading, each experiment was continued up to 5 loadings. Experimental observations indicate a large plastic deformation of the structure along with the thinning of the test specimens at fully clamped boundaries and the rupture of some in the same area. The results showed that with increasing the number of explosions and the charge mass, the maximum deflection increases, but the progressive deflection decreases exponentially. In the modeling section, some closed-form relations were proposed using the dimensional analysis approach to predict the maximum permanent deflection plates. In these relations, the effect of various parameters such as the plate geometry, inertia of the applied load, and strain rate sensitivity of material was considered. Comparing the results of the model with the experimental results showed that there is a very good agreement between the experimental results and the predictions of the model.

کلیدواژه‌ها [English]

  • Intense dynamic loading
  • Successive loading
  • Circular plate
  • Mathematical modeling
  • Dimensional analysis

مراجع

[1] H. Babaei, T.M. Mostofi, S.H. Sadraei, Effect of gas detonation on response of circular plate-experimental and theoretical, Struct Eng Mech, 56(4) (2015) 535-548.
[2] T.M. Mostofi, H. Babaei, M. Alitavoli, 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, 109 (2016) 367-376.
[3] T. Mirzababaie Mostofi, H. Babaei, M. Alitavoli, Experimental and theoretical study on large ductile transverse deformations of rectangular plates subjected to shock load due to gas mixture detonation, Strain, 53(4) (2017) e12235.
[4] T.M. Mostofi, A. Golbaf, A. Mahmoudi, M. Alitavoli, H. Babaei, 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, 123 (2018) 48-56.
[5] H. Babaei, T. Mirzababaie Mostofi, M. Alitavoli, 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, 234(5) (2020) 1102-1111.
[6] N. Jones, Structural impact, Cambridge university press, 2012.
[7] S.C.K. Yuen, G. Nurick, G. Langdon, Y. Iyer, Deformation of thin plates subjected to impulsive load: Part III–an update 25 years on, International Journal of Impact Engineering, 107 (2017) 108-117.
[8] Y.-P. Zhao, Suggestion of a new dimensionless number for dynamic plastic response of beams and plates, Archive of Applied Mechanics, 68(7-8) (1998) 524-538.
[9] R. Rajendran, J. Lee, Blast loaded plates, Marine Structures, 22(2) (2009) 99-127.
[10] N. Rudrapatna, R. Vaziri, M. Olson, Deformation and failure of blast-loaded square plates, International journal of impact engineering, 22(4) (1999) 449-467.
[11] N. Rudrapatna, R. Vaziri, M. Olson, Deformation and failure of blast-loaded stiffened plates, International Journal of Impact Engineering, 24(5) (2000) 457-474.
[12] S.C.K. Yuen, G. Nurick, W. Verster, N. Jacob, A. Vara, V. Balden, D. Bwalya, R. Govender, M. Pittermann, Deformation of mild steel plates subjected to large-scale explosions, International journal of impact engineering, 35(8) (2008) 684-703.
[13] M. Rezasefat, T. Mirzababaie Mostofi, H. Babaei, M. Ziya-Shamami, M. Alitavoli, 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, 233(7) (2019) 1449-1471.
[14] M. Rezasefat, T.M. Mostofi, T. Ozbakkaloglu, Repeated localized impulsive loading on monolithic and multi-layered metallic plates, Thin-Walled Structures, 144 (2019) 106332.
[15] T. Børvik, A. Hanssen, M. Langseth, L. Olovsson, Response of structures to planar blast loads–A finite element engineering approach, Computers & Structures, 87(9-10) (2009) 507-520.
[16] I.G. Cullis, J. Schofield, A. Whitby, Assessment of blast loading effects–Types of explosion and loading effects, International journal of pressure vessels and piping, 87(9) (2010) 493-503.
[17] C. Soutis, G. Mohamed, A. Hodzic, Modelling the structural response of GLARE panels to blast load, Composite Structures, 94(1) (2011) 267-276.
[18] K. Spranghers, I. Vasilakos, D. Lecompte, H. Sol, J. Vantomme, Numerical simulation and experimental validation of the dynamic response of aluminum plates under free air explosions, International Journal of Impact Engineering, 54 (2013) 83-95.
[19] N. Mehreganian, L. Louca, G. Langdon, R. Curry, N. Abdul-Karim, The response of mild steel and armour steel plates to localised air-blast loading-comparison of numerical modelling techniques, International Journal of Impact Engineering, 115 (2018) 81-93.
[20] T.F. Henchie, S.C.K. Yuen, G. Nurick, N. Ranwaha, V. Balden, The response of circular plates to repeated uniform blast loads: An experimental and numerical study, International Journal of Impact Engineering, 74 (2014) 36-45.
[21] D.D. Truong, H.-J. Jung, H.K. Shin, S.-R. Cho, Response of low-temperature steel beams subjected to single and repeated lateral impacts, International Journal of Naval Architecture and Ocean Engineering, 10(6) (2018) 670-682.
[22] G. Nurick, J. Martin, Deformation of thin plates subjected to impulsive loading—a review part II: experimental studies, International journal of impact engineering, 8(2) (1989) 171-186.
[23] G. Nurick, J. Martin, Deformation of thin plates subjected to impulsive loading—a review: Part i: Theoretical considerations, International Journal of Impact Engineering, 8(2) (1989) 159-170.
[24] Q. Li, N. Jones, On dimensionless numbers for dynamic plastic response of structural members, Archive of Applied Mechanics, 70(4) (2000) 245-254.
[25] B.-W. Park, S.-R. Cho, Simple design formulae for predicting the residual damage of unstiffened and stiffened plates under explosion loadings, International Journal of Impact Engineering, 32(10) (2006) 1721-1736.
[26] N. Jacob, G. Nurick, G. Langdon, The effect of stand-off distance on the failure of fully clamped circular mild steel plates subjected to blast loads, Engineering Structures, 29(10) (2007) 2723-2736.
[27] H. Babaei, T. Mirzababaie Mostofi, E. Armoudli, 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, 231(5) (2017) 939-950.
[28] T.M. Mostofi, H. Babaei, M. Alitavoli, The influence of gas mixture detonation loads on large plastic deformation of thin quadrangular plates: Experimental investigation and empirical modelling, Thin-Walled Structures, 118 (2017) 1-11.
[29] T.M. Mostofi, H. Babaei, M. Alitavoli, G. Lu, D. Ruan, Large transverse deformation of double-layered rectangular plates subjected to gas mixture detonation load, International Journal of Impact Engineering, 125 (2019) 93-106.
[30] N. Jones, Dynamic inelastic response of strain rate sensitive ductile plates due to large impact, dynamic pressure and explosive loadings, International Journal of Impact Engineering, 74 (2014) 3-15.
[31] H. Babaei, T. Mirzababaie Mostofi, M. Alitavoli, 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, 231(3) (2017) 490-496.
[32] H. Babaei, T.M. Mostofi, M. Alitavoli, Experimental and analytical investigation into large ductile transverse deformation of monolithic and multi-layered metallic square targets struck normally by rigid spherical projectile, Thin-Walled Structures, 107 (2016) 257-265.
[33] T.M. Mostofi, H. Babaei, M. Alitavoli, S. Hosseinzadeh, On dimensionless numbers for predicting large ductile transverse deformation of monolithic and multi-layered metallic square targets struck normally by rigid spherical projectile, Thin-Walled Structures, 112 (2017) 118-124.
[34] H. Babaei, T.M. Mostofi, M. Alitavoli, Study on the response of circular thin plate under low velocity impact, Geomechanics and Engineering, 9(2) (2015) 207-218.
[35] H. Babaei, T. Mirzababaie Mostofi, 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, 234(2) (2020) 231-245.
[36] R. Teeling-Smith, G. Nurick, The deformation and tearing of thin circular plates subjected to impulsive loads, International Journal of Impact Engineering, 11(1) (1991) 77-91.
نشریه مهندسی مکانیک امیرکبیر
دوره 53، شماره 6 (Special Issue)
شهریور 1400
صفحه 4023-4050

فایل ها

هم رسانی

ارجاع به این مقاله

آمار