Theoretical analyses and numerical simulation of the interaction time and the separation time of two elastic bars after the loading of a triangular wave

Wei Zhong, Ming Lei, Zhou Tian

Northwest Institute of Nuclear Technology, Xi’an 710024, Shaanxi Province, China

With theoretical analyses, the stress-wave propagation and reflection between two elastic bars, whose left side achieved a triangular wave load, is mainly studied. Considering the effects of pulse width of the load, length and wave impedance of the bars and the relationship between the length of the load wave and the two bars, the regularities of the stress-wave propagation and reflection between the two bars is analysed, and the formulas for calculating the interaction time and the separation time of the two bars are derived, in three different conditions. The same problems in three different conditions are simulated by using AUTODYN, and curves of displacements of points at contact surface of the two bars varying the time are given. According these curves, the simulating results of the separation time can be obtained. By the comparison of the simulating results and the theoretical calculated results using formulas derived in this paper, the correctness of the theoretical analyses and formulas here is demonstrated.