[1] Alexander J.M (1960) An  approximate  analysis  of  the  collapse  of  thin cylindrical  shells  under  axia loading. Mech Appl Math 13(1): 5-10.

­[2] Pyrz M, Krzywoblocki M (2017) Crashworthiness optimization of thin-walled tubes using Macro Element Method and Evolutionary Algorithm. Thin-Walled Structures 112:  12-19.

[3] Esmaeili-Marzdashti S, Pirmohammad S, Esmaeili Marzdashti S (2017) Crashworthiness analysis of S-shaped structures under axial impact loading. Latin American J of Solids and Structures (In Press).

[4] Alizadeh Yazdi M, Zamani J, Darvizeh A, Darvizeh M, Liaghat Gh (1385) Experimental analysis of thin-walled mono-cell structures and investigation of the effect of geometrical parameters on the specific mean collapse load, First Congress on the Special Structures, Tehran, Iran (In Persian).

[5] Alizadeh Yazdi M, Darvizeh A, Liaghat Gh, Zamani J (1385) Experimental analysis on the effect of thin ratio on the mean collapse load and energy absorption of the thin-walled structures, First conference on the metals deformations, Tehran, Iran (In Persian).

[6] Zamani J, Darvizeh A, Zia Hagh M, Soleimani M (1387) Experimental analysis on the collapse load of the thin-walled extruded cell under axial quasi-static loading. Modares Mechanical Engineering 31(1): 91-102, 1387. (In Persian).

[7] Tran T (2017) Crushing analysis under multiple impact loading cases for multi-cell triangular tubes. Thin-Walled Structures 113: 262-272.

[8] Tran T, Hou S, Han X, Nguyen NT, Chau MQ (2014) Theoretical prediction and crashworthiness optimization of multi-cell square tubes under oblique impact loading. Int. Journal of Mechanical Sciences 89: 177-193.

[9] Eyvazian A, Habibi MK, Hamouda AM, Hedayati R (2014) Axial crushing behavior and energy absorption efficiency of corrugated tubes. Materials and Design 54: 1028-1038.

[10] Hosseini S.V, Zamani J, Darvizeh A, Soleimani M (1385) Experimental and numerical analysis on the effect of geometrical and mechanical parameters on the collapse force of the square structures under axial loading (first part). Aerospace Mechanics Journal 2(2): 27-40 (In Persian). 

[11] Zamani J, Fakhri A, Ghamsari A.K (2008) Experimental Analysis of the folding force in thin wall extruded cells under quasi-static in-plane loading. Materialwisenschaft und Werkstofftechnik  Journal 39(2): 176-182.

­[12] Hosseini-TehraniP, PirmohammadS.Collapse Study of A pair thin walled prismatic column subjected to oblique loads, Int J Auto Eng 1:267-279.

[13] Abramowicz W, Jones N­ (1984) Dynamic axial crushing of square  tubes. Int J Mech Sci 2(­2):179-208.

­[14] Abramowicz W, Jones N (1986) Dynamic progressive buckling of circular and square tubes. Int J Mech Sci 4(­4): 243-270.

­[15] Langseth M, Hopperstad OS (1996) Static and dynamic axial crushing of square thin- walled aluminium extrusions. Int J Mech Sci 18 (7-8): 946-968.

­[16] Damghani Nouri M, Hatami H, Ghodsbin Jahromi A (1394) Experimental Investigation of Expanded Metal Tube Absorbers under axial Impact Loading. Modares Mechanical Engineering. 15(1): 372-378  (In Persian).

[17] Azarakhsh S, Rahi A, Ghamarian A (1395) Experimental and numerical investigation of crushing of brass cylindrical tubes. Journal of Solid and Fluid Mechanics 6(2):181-196 (In Persian).

[18] Shojaeefard MH, Khalkhali A, Kalantari R (1394) Side panel of B-Class body in white vehicle design and side crash finite element simulation. Journal of Solid and Fluid Mechanics 5(3): 51-64.

­[19] Chen W.G, Wierzbicki T (2001) Relative merits of single-cell, multi-cell and foam -­ filled thin-walled structures in energy absorption. Thin-Walled Structures 39(4): 287­-­306.

­[20] Kim ­H.S (2002) New extruded multi-cell aluminum profile for maximum crash energy absorption and weight efficiency. Thin-Walled Structures 40(4): 311-327.

­[21] Qiu N, Gao Y, Fang J, Feng ZH, Sun G, Li Q (2015) Crashworthiness analysis and design of multi-cell hexagonal columns under multiple loading cases. Finite Elements in Analysis and Design 89: 89-101.

­[22] Pirmohammad S, Esmaeili Marzdashti S (2016) Crushing behavior of new designed multi-cell members subjected to axial and oblique quasi-static loads. Thin-Walled Struct 108: 291-304.

[23] Pirmohammad S, Nikkhah H, Esmaeili-Marzdashti S (1395) Experimental and numerical study on the collapse behavior of double-walled tubes reinforced with inside ribs under dynamic axial loading. Modaress Mechanical Engineering 16(9): 347-358 (In Persian).

_­[24] Najafi A, Rais-Rohani M (2011)  Mechanics of axial plastic collapse in multi-cell, multi-corner crush tubes. Thin-Walled Struc 49(1): 1-12.

­[25] Tehrani P.­H, Pirmohammad S (2010) Study on Crashworthiness Characteristics of Several Concentric Thin Wall Tubes. ASME 10th Biennial Conference on Engineering Systems Design and Analysis 3(­2): 12-14.

­[26]  Hanssen A.G, Langseth M, Hopperstad O.S,  (2000) Static and dynamic crushing of circular aluminium extrusions with aluminium foam filler. Int J of Impact Eng 24(5): 475-507.

[27] Hanssen A.G, Langseth M, Hopperstad O.S,  (2000) Static and dynamic crushing of square aluminium extrusions with aluminium foam filler. Int J of Impact Eng 24(4): 347-383.

­[28] Aktay L, Toksoy A, Guden M (2006) Quasi-static axial crushing of extruded polystyrene foam-filled thin-walled aluminum tubes: Experimental and numerical analysis. J of Mat and Des 27(7): 556-565.

­[29] Ghamarian A, Zarei HR, Abadi MT (2011) Experimental and numerical crashworthi- ness investigation of empty and foam-filled end-capped conical tubes. Thin- Walled Struct 49(10):1312-1319.

­[30]  Zhang X, Cheng G (2007) A comparative study of energy absorption characteristics of foam-filled and multi-cell square columns Int J of Impact Eng 34(11): 1739-1752.

­[31] Naddaf Oskouei A, Khodarahmi H, Sohrab M (1394) Experimental and Numerical Study of Conical Thin Shells Collapse under Dynamic Axial Loadings Modares Mechanical Engineering 15(7): 392-402 (In Persian).

­[32]­ Hosseini-Tehrani P, Pirmohamad S, Golmohamadi M (2008) Study on the collapse of tapered tubes subjected to oblique loads. Proceedings of the Institution of Mechanical Engineers, Part D: Journal Automobile Engineering 222­: 2025-2039.

[33] Azarakhsh S, Ghamarian A, Khodarahmi H (1395) Investigation of Axial and Oblique Crushing of Empty and Foam-Filled Conical Tubes under Clamped Boundary Condition. Journal of Solid and Fluid Mechanics 6(4): 139-159 (In Persian).

­[34] Hanfeng ­Y,­ Guilin­ W, ­Hongbing F,­ Qixiang­­ Q, Xiangzheng K, Jiuru ­X, Zhibo L (2014)     Multiobjective crashworthiness optimization design of functionally graded foam-filled tapered tube based on dynamic ensemble metamodel. J of Mat and Des 55: 747-757.

[35] Pirmohammad S,  Ekbatan MH, Esmaeili-Marzdashti S (2017) Crashworthiness of double-cell conical tubes with different cross-sections subjected to dynamic axial and oblique loads. j of Central South University (In Press).

[36] Nagel G.M, Thambiratnam D.P (2004) A numerical study on the impact response and energy absorption of tapered thin-walled tubes. Int Journal of Mech Sci 46(2): 201-216.

­[37] Malek A, Nia B (2009) Fundamentals of Design-Expert software, 2th Eddition 93-110 Tehran: Afarinesh.

­[38] Marzbanrad J, Abdollahpour A (2009) Effects of the triggering of circular aluminum tubes on crashworthiness. Int J of crashworthiness 14(9): 591-599.

­[39] Demuth H, Beale M, Hagan M (2010) Neural network tool box^TM 6 user’s guide. the Math Works Website: The Math Works,Inc.

[40] Schalkoff R.J (1997) Artificial neural networks. McGraw-Hill.