Articles
Multi-criteria analysis to evaluate the energy absorption capacity of pipes manufactured with expanded and solid metal sheets
Published 2018-01-08
Keywords
- Round tubes,
- expanded metal sheets,
- analytic hierarchy process,
- complex proportional assessment,
- energy absorption
How to Cite
Smith, D., Graciano Gallego, C. A., & Martínez, M. (2018). Multi-criteria analysis to evaluate the energy absorption capacity of pipes manufactured with expanded and solid metal sheets. Revista UIS Ingenierías, 17(1), 69–80. https://doi.org/10.18273/revuin.v17n1-2018007
Abstract
A multi-criteria analysis has been developed to evaluate the energy absorption of round tubes made with expanded metal sheets and solid sheets. Throughout an AHP (Analytic Hierarchy Process) the assignation of the weight to different load parameter and impact resistance were given. Thereafter, these weights were then attributed to the COPRAS method (Complex Proportional Assessment) to select the best alternative among the available options. The results show that the circular tubes made with deployed metal sheets and individual cells with orientation α=0º present favorable characteristics to absorb energy in a controlled and stable way as well as efficient structural design parameters. Multi-criteria analysis methodology is a valuable support for decision making processes to the selection of devices used in energy absorbing applications.
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References
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A,A,A. Alghamdi, “Collapsible impact energy absorbers: an overview,” Thin-Walled Structures, vol. 39, no. 2, pp. 189-213, Feb, 2001.
A. Olabi, E. Morrisa and M. Hashmi, “Metallic tube type energy absorbers: a synopsis,” Thin-Walled Structures, vol. 45, no. 7-8, pp. 706-726, Jul-Ago, 2007.
D. Smith, C. Graciano and G. Martínez, “Quasistatic axial compression of concentric expanded metal tubes,” Thin-Walled Structures, vol. 84, pp. 70-76, 2014.
D. Smith, C. Graciano, G. Martínez and P. Teixeira, “Axial crushing of flattened expanded metal tubes,” Thin Walled Structures, vol. 85, pp. 42-49, Dec. 2014.
D. Smith, C. Graciano and G. Aparicio, “An empirical method for the estimation of yield strength on expanded metal meshes,” Rev. Fac. Ing. Univ. Ant. vol. 74, pp. 161-171, 2015.
D. Smith, C. Graciano and G. Aparicio, “Energy absorption capacity of expanded metal meshes subjected to tensile loading,” Rev. Fac. Ing. Univ. Ant., vol. 77, pp. 48-53, 2015.
N. M. Stefano, N. Casarotto Filho, L.G.L. Vergara and R.U.G. da Rocha, “COPRAS (Complex Proportional Assessment): state of the art research and its applications,” IEEE Latin America Transactions, vol. 13, no. 12, pp. 3899-3906, 2015.
O. Taylan, A. Bafail, R. Abdulaal and M. Kabli, “Construction projects selection and risk assessment by fuzzy AHP and fuzzy TOPSIS methodologies,” Int J Appl Soft Comput, vol. 17, pp. 105-116, Apr, 2014.
T. Boucher and E. McStravic, “Multi-attribute evaluation within a present value framework and its relation to the analytic hierarchy process,” Eng Econ, vol. 37, pp. 55-71, 1991.
F. Tarlochan and F. Samer, “Design of thin wall structures for energy absorption applications: design for crash injuries mitigation using magnesium alloy,” Int J Res Eng Tech, vol. 2, no. 7, pp. 24-36. 2013.
A. Mohammed, A. Hazem, and M. Ayman “Integrated Fuzzy (GMM) -TOPSIS model for best design concept and material selection process,” Int J Innov Res Sci Eng Technol, vol. 2, no. 11, pp. 6464-6486, 2013.
G. Zheng, S. Wu, G. Sun, G. Li, and Q. Li, “Crushing analysis of foam-filled single and bitubal polygonal thin-walled tubes,” International Journal of Mechanical Sciences, vol. 87, pp. 226-240, Oct, 2014.
N. Qiu, Y. Gao, J. Fang, Z. Feng, G. Sun, and Q. Li, “Crashworthiness analysis and design of multi-cell hexagonal columns under multiple loading cases,” Finite Elements in Analysis and Design, vol. 104, pp. 89-101. 2015.
S. Pirmohammad, and S.E. Marzdashti, “Crushing behavior of new designed multi-cell members subjected to axial and oblique quasi-static loads,” Thin-Walled Structures, vol. 108, pp. 291-304, 2016.
V. Gadakh, “Parametric optimization of wire electrical discharge machining using TOPSIS method,” Adv Produc Eng Manag, vol. 7, no. 3, pp. 157-164, 2012.
L. Wang, T. Raz, “Analytic hierarchy process based on data for problem,” Comput & IE, vol. 20, pp. 355-365, 1991.
V. Tarigopula, M. Langseth, O. Hopperstad, and A. Clausen, “Axial crushing of thin-walled high-strength steel sections,” Int J Impact Eng, vol. 32, pp. 847-882, 2005.
A. Puglsey, “The crumpling of tubular structures under impact conditions,” In: Proc. of the Symposium on the use of aluminium in railway rolling stock. Institute of Locomotive Engineers. The Aluminium Development Association, pp. 22-41, 1960.
S. Hosseinipour, G. Daneshi, “Energy absorption and mean load of thin-walled grooved tubes under axial compression,” Thin-Walled Structures, vol. 41, pp. 3146, 2003.
Z. Ahmad, “Impact and energy absorption of empty and foam-filled conical tubes,” Doctoral dissertation, Queensland University of Technology, 2009.
Y. Lou, C. Park and H. Huh, “Parameter study on the quasi-statically axial crush of frusta with small semiapical angles using finite element method,” Annual Conference. The Korean Society of Automotive Engineers. [En línea]. Disponible en: http://koasas.kaist.ac.kr/bitstream/10203/19503/1/ck174 .pdf, 2008.
S. Chung, and G. Nurick, “The energy-absorbing characteristics of tubular structures with geometric and material modifications: An overview,” Appl Mech Rev, vol. 61, pp. 020802-1/020802-15, 2008.
R.H. Smith Jr, “Energy absorption of sine wave beams subjected to axial impact loading,” Doctoral dissertation, Clemson University, 2007.
ASTM A1011/A1011M-03a: Standard specification for steel, sheet and strip, hot-rolled, carbon, structural, high-strength low-alloy and high-strength low-alloy with improved formability. ASTM International, West Conshohoken, PA, 2003.
A. Aalberg, and B. Haugen, “An experimental investigation of a rectangular hollow steel section with solid corners and expanded metal sections,” Norwegian University of Science Technology. Technical Report, R8-97, p. 1-77, 1997.
S. Tung, and S. Tang, “Comparison of the saaty’s AHP and modified AHP for right and left eigenvector inconsistency,” European Journal of Operational Research, vol. 106, no. 1, pp. 123-128, 1998.
T. Saaty, The analytic hierarchy process. Ed. McGraw-Hill, New York, 1980.
T. Saaty, “Priority setting in complex problems,” IEEE Trans. Eng. Manag, vol. 30, no. 3, pp. 140-155, 1983.
A. Ishizaka and M. Lusti, “An intelligent tutoring system for AHP,” Proceedings of the 9th international conference on operational research. University of Osijek, Croatia, pp. 215-223, 2003.
E. Zavadskas and A. Kaklauskas, Multicriteria evaluation of building, Technika Vilnius, 1996.
P. Chatterjee, V. Manikrao and S. Chakraborty, “Materials selection using complex proportional assessment and evaluation of mixed data methods,” Mater Design, vol. 32, pp. 851-860, 2011.
D.J Smith, C.A. Graciano, P. Teixeira, G. Martínez and A. Pertuz, “Energy absorption characteristics of coiled expanded metal tubes under axial compression,” Latin American Journal of Solids and Structures, vol. 13, no. 16, pp. 3145-3160, 2016.
A,A,A. Alghamdi, “Collapsible impact energy absorbers: an overview,” Thin-Walled Structures, vol. 39, no. 2, pp. 189-213, Feb, 2001.
A. Olabi, E. Morrisa and M. Hashmi, “Metallic tube type energy absorbers: a synopsis,” Thin-Walled Structures, vol. 45, no. 7-8, pp. 706-726, Jul-Ago, 2007.
D. Smith, C. Graciano and G. Martínez, “Quasistatic axial compression of concentric expanded metal tubes,” Thin-Walled Structures, vol. 84, pp. 70-76, 2014.
D. Smith, C. Graciano, G. Martínez and P. Teixeira, “Axial crushing of flattened expanded metal tubes,” Thin Walled Structures, vol. 85, pp. 42-49, Dec. 2014.
D. Smith, C. Graciano and G. Aparicio, “An empirical method for the estimation of yield strength on expanded metal meshes,” Rev. Fac. Ing. Univ. Ant. vol. 74, pp. 161-171, 2015.
D. Smith, C. Graciano and G. Aparicio, “Energy absorption capacity of expanded metal meshes subjected to tensile loading,” Rev. Fac. Ing. Univ. Ant., vol. 77, pp. 48-53, 2015.
N. M. Stefano, N. Casarotto Filho, L.G.L. Vergara and R.U.G. da Rocha, “COPRAS (Complex Proportional Assessment): state of the art research and its applications,” IEEE Latin America Transactions, vol. 13, no. 12, pp. 3899-3906, 2015.
O. Taylan, A. Bafail, R. Abdulaal and M. Kabli, “Construction projects selection and risk assessment by fuzzy AHP and fuzzy TOPSIS methodologies,” Int J Appl Soft Comput, vol. 17, pp. 105-116, Apr, 2014.
T. Boucher and E. McStravic, “Multi-attribute evaluation within a present value framework and its relation to the analytic hierarchy process,” Eng Econ, vol. 37, pp. 55-71, 1991.
F. Tarlochan and F. Samer, “Design of thin wall structures for energy absorption applications: design for crash injuries mitigation using magnesium alloy,” Int J Res Eng Tech, vol. 2, no. 7, pp. 24-36. 2013.
A. Mohammed, A. Hazem, and M. Ayman “Integrated Fuzzy (GMM) -TOPSIS model for best design concept and material selection process,” Int J Innov Res Sci Eng Technol, vol. 2, no. 11, pp. 6464-6486, 2013.
G. Zheng, S. Wu, G. Sun, G. Li, and Q. Li, “Crushing analysis of foam-filled single and bitubal polygonal thin-walled tubes,” International Journal of Mechanical Sciences, vol. 87, pp. 226-240, Oct, 2014.
N. Qiu, Y. Gao, J. Fang, Z. Feng, G. Sun, and Q. Li, “Crashworthiness analysis and design of multi-cell hexagonal columns under multiple loading cases,” Finite Elements in Analysis and Design, vol. 104, pp. 89-101. 2015.
S. Pirmohammad, and S.E. Marzdashti, “Crushing behavior of new designed multi-cell members subjected to axial and oblique quasi-static loads,” Thin-Walled Structures, vol. 108, pp. 291-304, 2016.
V. Gadakh, “Parametric optimization of wire electrical discharge machining using TOPSIS method,” Adv Produc Eng Manag, vol. 7, no. 3, pp. 157-164, 2012.
L. Wang, T. Raz, “Analytic hierarchy process based on data for problem,” Comput & IE, vol. 20, pp. 355-365, 1991.
V. Tarigopula, M. Langseth, O. Hopperstad, and A. Clausen, “Axial crushing of thin-walled high-strength steel sections,” Int J Impact Eng, vol. 32, pp. 847-882, 2005.
A. Puglsey, “The crumpling of tubular structures under impact conditions,” In: Proc. of the Symposium on the use of aluminium in railway rolling stock. Institute of Locomotive Engineers. The Aluminium Development Association, pp. 22-41, 1960.
S. Hosseinipour, G. Daneshi, “Energy absorption and mean load of thin-walled grooved tubes under axial compression,” Thin-Walled Structures, vol. 41, pp. 3146, 2003.
Z. Ahmad, “Impact and energy absorption of empty and foam-filled conical tubes,” Doctoral dissertation, Queensland University of Technology, 2009.
Y. Lou, C. Park and H. Huh, “Parameter study on the quasi-statically axial crush of frusta with small semiapical angles using finite element method,” Annual Conference. The Korean Society of Automotive Engineers. [En línea]. Disponible en: http://koasas.kaist.ac.kr/bitstream/10203/19503/1/ck174 .pdf, 2008.
S. Chung, and G. Nurick, “The energy-absorbing characteristics of tubular structures with geometric and material modifications: An overview,” Appl Mech Rev, vol. 61, pp. 020802-1/020802-15, 2008.
R.H. Smith Jr, “Energy absorption of sine wave beams subjected to axial impact loading,” Doctoral dissertation, Clemson University, 2007.
ASTM A1011/A1011M-03a: Standard specification for steel, sheet and strip, hot-rolled, carbon, structural, high-strength low-alloy and high-strength low-alloy with improved formability. ASTM International, West Conshohoken, PA, 2003.
A. Aalberg, and B. Haugen, “An experimental investigation of a rectangular hollow steel section with solid corners and expanded metal sections,” Norwegian University of Science Technology. Technical Report, R8-97, p. 1-77, 1997.
S. Tung, and S. Tang, “Comparison of the saaty’s AHP and modified AHP for right and left eigenvector inconsistency,” European Journal of Operational Research, vol. 106, no. 1, pp. 123-128, 1998.
T. Saaty, The analytic hierarchy process. Ed. McGraw-Hill, New York, 1980.
T. Saaty, “Priority setting in complex problems,” IEEE Trans. Eng. Manag, vol. 30, no. 3, pp. 140-155, 1983.
A. Ishizaka and M. Lusti, “An intelligent tutoring system for AHP,” Proceedings of the 9th international conference on operational research. University of Osijek, Croatia, pp. 215-223, 2003.
E. Zavadskas and A. Kaklauskas, Multicriteria evaluation of building, Technika Vilnius, 1996.
P. Chatterjee, V. Manikrao and S. Chakraborty, “Materials selection using complex proportional assessment and evaluation of mixed data methods,” Mater Design, vol. 32, pp. 851-860, 2011.
D.J Smith, C.A. Graciano, P. Teixeira, G. Martínez and A. Pertuz, “Energy absorption characteristics of coiled expanded metal tubes under axial compression,” Latin American Journal of Solids and Structures, vol. 13, no. 16, pp. 3145-3160, 2016.