Experimental and Numerical Analysis of Repeated Impacts between Two Spheres

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Abstract:

The impact of spheres and bodies with spherical surfaces is frequently occurring in engineering applications. Only little research on repeated impacts of spheres is available and the variation of the COR (Coefficient of Restitution) due to repeated impacts is not fully understood yet. Further, the variation of the COR for impact repetition of visco-plastic materials, such as steel, has not been investigated in full detail yet. Therefore, the aim of this study is to investigate the behavior of steel spheres during repeated impact in detail in both, experiments and numerical simulations. In the experiments, two steel spheres are suspended like pendula, and the two spheres collide at the same position with the same initial velocity for every repeated impact. The COR is obtained from the velocity change of the spheres which is measured by LDVs (Laser Doppler Vibrometers) set at both sides of the spheres. The static and dynamic material properties are obtained from material tests and are incorporated into an FEM (Finite Element Method) analysis. The experimental results and the FEM results agree fairly well. It is observed that the COR increases toward to 1 by the repetition of impacts, indicating decreasing amount of plastic deformation in the successive impacts.

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250-255

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June 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] K. L. Johnson: Contact Mechanics, (Cambridge University Press, 1985).

Google Scholar

[2] C. Thornton: Coefficient of restitution for collinear collisions of elastic-perfectly plastic spheres, Transactions of the ASME, Journal of Applied Mechanics, Vol. 64, (1997), pp.383-386.

DOI: 10.1115/1.2787319

Google Scholar

[3] W. J. Stronge: Impact Mechanics, (Cambridge University Press, 2004).

Google Scholar

[4] H. Minamoto, S. Kawamura: Effects of material strain rate sensitivity in low speed impact between two identical spheres, International Journal of Impact Engineering, Vol. 36, (2009), pp.680-686.

DOI: 10.1016/j.ijimpeng.2008.10.001

Google Scholar

[5] R. L. Jackson, I. Green, D. B. Marghitu: Predicting the coefficient of restitution of impacting elastic-perfectly plastic spheres, Nonlinear Dynamics, Vol. 60, (2010), pp.217-229.

DOI: 10.1007/s11071-009-9591-z

Google Scholar

[6] W. Graham, T. Stephen: The coefficient of restitution for normal incident, low velocity particle impacts, Chemical Engineering Science, Vol. 60, (2005), p.3637–3647.

DOI: 10.1016/j.ces.2005.01.040

Google Scholar

[7] R. Seifried, W. Schiehlen, P. Eberhard: Numerical and experimental evaluation of the coefficient of restitution for repeated impacts, International J. of Impact Engineering, Vol. 32, (2005), pp.508-524.

DOI: 10.1016/j.ijimpeng.2005.01.001

Google Scholar

[8] T. Chaise, D. Nelias, F. Sadeghi: On the effect of isotropic hardening on the COR for single or repeated impact, Tribology Transactions, Vol. 54, (2011), pp.714-722.

DOI: 10.1080/10402004.2011.593113

Google Scholar

[9] B. Hopkinson: A method of measuring the pressure in the deformation of high explosives or by the impact of bullets, Philosophical Transactions of the Royal Society, A213, (1914), pp.437-452.

Google Scholar

[10] H. Kolsky: An investigation of the mechanical properties at very high rates of loading, Proceedings of the Physical Society, B62, (1949), pp.676-700.

DOI: 10.1088/0370-1301/62/11/302

Google Scholar

[11] LS-DYNA KEYWORD USER'S MANUAL, Version 971 (2007) and THEORY MANUAL (2006), Livermore Software Technology Corporation.

Google Scholar

[12] R. Seifried, H. Minamoto, P. Eberhard: Viscoplastic effects occurring in impacts of aluminum and steel bodies and their influence on the coefficient of restitution. Journal of Applied Mechanics, Vol. 77, No. 4, (2010), 41008, pp.1-7.

DOI: 10.1115/1.4000912

Google Scholar