Effect of Impact Location upon Sub-Impacts between Beam and Block

The present investigation is concerned with sub-impacts taken placed when a rigid hemispherical-head block transversely impacts against a beam at different locations. Dynamic substructure technique for elastic-plastic impact is applied to solve numerically this problem. The time history of impact force and energy exchange between block and beam are obtained. The process of sub-impacts is analyzed from the energy exchange point of view. The results verify the influences of the impact location on impact duration, the first sub-impact and energy exchange between the beam and the block.

Authors:

• T. F. Jin
• X. C. Yin
• P. B. Qian

Keywords:

• Beam
• sub-impact
• substructure
• elastic-plasticity.

References:

[1] D. Stoianovici and Y. Hurmuzlu, "A critical study of the applicability of
rigid-body collision theory," Journal of Applied Mechanics, vol. 63, pp.
307-316, 1996.
[2] H. L. Mason, Impact of beams. vol. 58: Transactions of the American
Society of Mechanical Engineers, 1935, pp. 55-61.
[3] W. Goldsmith, Impact: the theory and physical behaviour of colliding
solids. Dover Pubns, 1960.
[4] X. C. Yin, "Multiple impacts of two concentric hollow cylinders with zero
clearance," International Journal of Solids and Structures, vol. 34, pp.
4597-4616, 1997.
[5] P. R. Marur, "Charpy specimen--a simply supported beam or a
constrained free-free beam?," Engineering Fracture Mechanics, vol. 61,
pp. 369-386, 1998.
[6] X. C. Yin and L. G. Wang, "The effect of multiple impacts on the
dynamics of an impact system," Journal of Sound and Vibration, vol. 228,
pp. 995-1015, 1999.
[7] H. Shan, J. Su, F. Badiu, J. Zhu, and L. Xu, "Modeling and simulation of
multiple impacts of falling rigid bodies," Mathematical and Computer
Modelling, vol. 43, pp. 592-611, 2006.
[8] Z. H. Liu, X. C. Yin, and L. Tang, "Comparison of simulation results of
local contact deformable models on multiple elastic-plastic impacts of
simply supported beam," Journal of Nanjing University of Science and
Technology (Natural Science), vol. 6, pp. 739-744, 2009.
[9] R. S. Langley, "The analysis of impact forces in randomly vibrating
elastic systems," Journal of Sound and Vibration, 2012.
[10] P. B. Qian, X. C. Yin, Y. N. Shen, and J. Yang, "Dynamic substructure
method for propagation of elastic-plastic wave induced by impact,"
Chinese Journal of Theoretical and Applied Mechanics, vol. 44, pp.
184-188, 2012.
[11] P. B. Qian, X. C. Yin, Y. N. Shen, J. Yang, and D. P. Kong, "Dynamic
substructure technique for elastic-plastic impact responses of simply
supported beam," Journal of Nanjing University of Science and
Technology, vol. 36, pp. 176-181, 2012.