Numerical Method of Dynamic Buckling of Bar Impacted by a Rigid Body

DOI

10.2991/mmsa-18.2018.64How to use a DOI?

Keywords

rigid body; dynamic buckling; critical speed; stress wave; finite difference method

Abstract

The issues of dynamic buckling of elastic bar impacted by a rigid body before and after the stress wave reflection were studied by considering the stress wave effect. Based on the Hamiltonian principle, the dynamic buckling control equations and constraint conditions at the wavefront were derived in the case of axial inertia and transverse inertia. All the equations and conditions should be dimensionless, and the governing equations were resolved by the difference method and the boundary condition and continuity condition were solved by forward and backward difference method. The buckling waveforms of the elastic rods under different impact speed, impact mass and section size were obtained. The influence of the impact speed, the impact mass and the cross-sectional dimension on the dynamic buckling of the elastic rods after the stress wave reflection were analyzed. The results show that the critical velocity decreases with the increase of impact mass and critical length, and increases with the increase of inertia radius. The higher modes would be excited with the higher impact velocity easily. The number of buckling modes, wave crests and trough valleys increased with the increase of the propagation distance, indicating that the stress wave effect has a great influence on dynamic buckling.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Guangyuan Zhang
AU  - Zhijun Han
AU  - Guoyun Lu
PY  - 2018/03
DA  - 2018/03
TI  - Numerical Method of Dynamic Buckling of Bar Impacted by a Rigid Body
BT  - Proceedings of the 2018 International Conference on Mathematics, Modelling, Simulation and Algorithms (MMSA 2018)
PB  - Atlantis Press
SP  - 288
EP  - 293
SN  - 1951-6851
UR  - https://doi.org/10.2991/mmsa-18.2018.64
DO  - 10.2991/mmsa-18.2018.64
ID  - Zhang2018/03
ER  -