Effects of Boundary Damping on the Elastic Rod’s Response to Longitudinal Impact

JIAO Xiao-juan; MA Jian-min

doi:10.3879/j.issn.1000-0887.2015.04.007

Volume 36 Issue 4

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JIAO Xiao-juan, MA Jian-min. Effects of Boundary Damping on the Elastic Rod’s Response to Longitudinal Impact[J]. Applied Mathematics and Mechanics, 2015, 36(4): 393-403. doi: 10.3879/j.issn.1000-0887.2015.04.007

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Effects of Boundary Damping on the Elastic Rod’s Response to Longitudinal Impact

doi: 10.3879/j.issn.1000-0887.2015.04.007

Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, P.R.China

Received Date: 2014-09-09
Rev Recd Date: 2015-02-16
Publish Date: 2015-04-15

Abstract

Abstract

The longitudinal impact between a rigid body and an elastic rod with boundary stiffness and damping conditions was discussed, the analytical velocity and stress distributions during the 1st impact wave period were derived for the rod, and the condition that the impact time duration equals 2 times of the value of the rod length divided by the wave velocity, was also investigated. Then several examples were calculated to discuss the effects of the boundary damping on the velocity and stress distributions in the rod in the cases of different mass ratios between the rigid body and the rod, and different connection stiffnesses. It is shown that the boundary damping influences the values of reflection wave velocity and stress wave front, and the velocity and stress distributions in the rod become gentler with a higher boundary damping. Given a larger boundary stiffness, the effects of the boundary damping on the velocity and stress in the rod will be more significant. It is also indicated that the impact time duration is not related to the initial impact velocity, but to the mass ratio, the boundary stiffness, the boundary damping and the rod length. Especially, for a larger mass ratio, the boundary damping has greater influence on the stress of the rod’s impact end.
- elastic rod,
- longitudinal impact,
- boundary damping,
- wave propagation analysis

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References(18)

References

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