Dynamic Deflection of a Beam on Metal Foam

Abstract:

An analytic model is developed to obtain the dynamic response of beams with initial velocities of the upper beam which is clamped at both ends and fully supported by metal foam, as a representative arrangement for protective structures. In large deflection, plastic bending and stretching in deforming regions are considered and the membrane factor method is introduced in the model to take into account the effect of axial force in the yielding. The relationships between the final displacement of the center in the beam and the dimensionless parameters are obtained. This model can predict the dynamic effects of different initial velocities and beams with different lengths, thickness and yield strength of cores.

• Periodical: Key Engineering Materials (Volumes 535-536)
• Pages: 481-484
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.535-536.481
• Online since: January 2013
• Authors: Xin Mei Xiang, Guo Xing Lu
• Keywords: Beam, Dimensionless Parameters, Large Deflection, Membrane Factor

References

[1] G.X. Lu, T. X. Yu, Energy absorption of structures and materials, Woodhead Publishing Ltd., Cambridge, 2003.

[2] N. A. Fleck and V. S. Deshpande, The Resistance of Clamped Sandwich Beams to Shock Loading，ASME 71(2004), 386-400.

DOI: 10.1115/1.1629109

[3] T. X. Yu and W. J. Stronge, Large Deflections of a Rigid-Plastic Beam-on-Foundation From Impact, Int. J. Impact Engng 9 (1), 115-126 (1990).

DOI: 10.1016/0734-743x(90)90025-q

[4] F. L. Chen and T. X. Yu, Analysis of Large Deflection Dynamic Response of Rigid Plastic Beam, ASCE 119 (6), 1293-1300 (1993).