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Acta Mechanica Solida Sinica

, Volume 30, Issue 3, pp 291–298 | Cite as

Influence of the connecting condition on the dynamic buckling of longitudinal impact for an elastic rod

  • Xiaojuan Jiao
  • Jianmin Ma
Article

Abstract

The stress wave propagation law and dynamic buckling critical velocity are formulated and solved by considering a general axial connecting boundary for a slender elastic straight rod impacted by a rigid body. The influence of connecting stiffness on the critical velocity is investigated with varied impactor mass and buckling time. The influences of rod length and rod mass on the critical velocity are also discussed. It is found that greater connecting stiffness leads to larger stress amplitude, and further results in lower critical velocity. It is particularly noteworthy that when the connecting stiffness is less than a certain value, dynamic buckling only occurs before stress wave reflects off the connecting end. It is also shown that longer rod with larger slenderness ratio is easier to buckle, and the critical velocity for a larger-mass rod is higher than that for a lighter rod with the same geometry.

Keywords

Elastic rod Longitudinal impact Connecting boundary Stress wave Dynamic buckling Critical velocity 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2017

Authors and Affiliations

  1. 1.Department of Aeronautics and AstronauticsFudan UniversityShanghaiChina

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