In this paper, we numerically solved the elastic multiple impact problem in a linear chain of balls using the impulse momentum and Hertz contact theory based methods. The first method depends on a parameter called the impulse correlation ratio (ICR) while the latter one depends on the material properties and geometries of the colliding bodies. We compared the post impact velocities from the two methods and we found that the two methods yield similar solutions for elastic collisions. Then, we develop an energy absorption scheme using an arrangement of balls with different sizes. The impulse momentum method is used and the ICRs are experimentally estimated. We use numerical and experimental analyses to demonstrate that one can significantly improve the energy absorption by placing small balls in specific locations in a linear chain of large balls.
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e-mail: mgharib@smu.edu
e-mail: acelik@yildiz.edu.tr
e-mail: hurmuzlu@lyle.smu.edu
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Shock Absorption Using Linear Particle Chains With Multiple Impacts
Mohamed Gharib,
Mohamed Gharib
Department of Mechanical Engineering,
e-mail: mgharib@smu.edu
Southern Methodist University
, Dallas, TX 75275
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Ahmet Celik,
Ahmet Celik
Department of Mechanical Engineering,
e-mail: acelik@yildiz.edu.tr
Yildiz Technical University
, Besiktas, Istanbul 80750, Turkey
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Yildirim Hurmuzlu
Yildirim Hurmuzlu
Department of Mechanical Engineering,
e-mail: hurmuzlu@lyle.smu.edu
Southern Methodist University
, Dallas, TX 75275
Search for other works by this author on:
Mohamed Gharib
Department of Mechanical Engineering,
Southern Methodist University
, Dallas, TX 75275e-mail: mgharib@smu.edu
Ahmet Celik
Department of Mechanical Engineering,
Yildiz Technical University
, Besiktas, Istanbul 80750, Turkeye-mail: acelik@yildiz.edu.tr
Yildirim Hurmuzlu
Department of Mechanical Engineering,
Southern Methodist University
, Dallas, TX 75275e-mail: hurmuzlu@lyle.smu.edu
J. Appl. Mech. May 2011, 78(3): 031005 (9 pages)
Published Online: February 7, 2011
Article history
Received:
September 29, 2009
Revised:
September 27, 2010
Posted:
January 4, 2011
Published:
February 7, 2011
Online:
February 7, 2011
Citation
Gharib, M., Celik, A., and Hurmuzlu, Y. (February 7, 2011). "Shock Absorption Using Linear Particle Chains With Multiple Impacts." ASME. J. Appl. Mech. May 2011; 78(3): 031005. https://doi.org/10.1115/1.4003349
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