Analysis of Postimpact Plastic Indentation Profiles

Abstract:

The paper presents the analysis of plastic indentations resulting after the impact between a steel ball and a disc made of mild steel, rotating about a vertical axis. The imprints are analysed using a laser scanner, the profiles of the mark, in normal and tangent section about the impact point radius, being relevant. It is shown that the use of parabolas is sufficient to approximate the profiles of the imprint. The profiles from the two sections are interpolated and then brought for comparison into the same coordinate system. Finally, the curvature radii of the profiles from the two sections are found and the remark that increasing the angular speed of the disc presents opposite effects to the curvature radius in the two sections.

• Periodical: Applied Mechanics and Materials (Volumes 809-810)
• Pages: 223-228
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.809-810.223
• Online since: November 2015
• Authors: Stelian Alaci*, Florina Carmen Ciornei, Constantin Filote, Ionuţ Cristian Românu
• Keywords: Ball Bearing, Collision, Curvature Radius, Plastic Indentation, Rotating Disc

References

[1] R. M Brach, Mechanical Impact Dynamics, Rigid Body Collisions, Wiley, New York, (1991).

[2] T.R. Kane, A Dynamic Puzzle, Stanford Mechanics Alumni Club Newsletter, 1984, pp.6-10.

[3] Y. Wang, M.T. Mason, Two dimensional rigid-body collisions with friction. Journal of Applied Mechanics. 59 (1992) 635–642.

DOI: 10.1115/1.2893771

[4] H.M. Lankarani, M. Ayyagari, A Poisson-based Formulation for Frictional Impact Analysis of Multibody Mechanical Systems with Open or Closed Kinematic Chains, ASME Journal of Mechanical Design. 122, 4 (2000) 489-497.

DOI: 10.1115/1.1319160

[5] J.B. Keller. Impact with friction, Journal of Applied Mechanics. 53 ( 1986) 1-4.

[6] A.E.H. Love, A Treatise on the Mathematical Theory of Elasticity: Fourth Edition, CambridgeUniversityPress, (2013).

[7] S.P. Timoshenko, J.N. Goodier, Theory of elasticity. McGraw-Hill, New York, (1970).

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

[9] H.M. Lankarani, P.E. Nikravesh, Continuous contact force models for impact analysis in multibody systems. Nonlinear Dyn. 5 (1994) 193–207.

DOI: 10.1007/bf00045676

[10] H.M. Lankarani, P.E. Nikravesh, A contact force model with hysteresis damping for impact analysis of multibody systems, J. Mech. Des. 112 (1990) 369-376.

DOI: 10.1115/1.2912617

[11] P. Flores, M. Machado, M.T. Silva, J.M. Martins, On the continuous contact force models for soft materials in multibody dynamics, Multibody System Dynamics. 25 (2011) 357-375.

DOI: 10.1007/s11044-010-9237-4

[12] W. Goldsmith, Impact, The Theory and Physical Behaviour of Colliding Solids, Edward Arnold, Sevenoaks, (1960).

[13] D. Tabor, The Hardness of Metals, Oxford University Press, (2000).

[14] S. Alaci, F.C. Ciornei, Comparative Analysis of Indentations From Spatial Impact with Plastic Deformations, Annals of the Oradea University, Fascicle of Management and Technological Engineering. 1 (2014) 107-110.

DOI: 10.15660/auofmte.2014-1.2950