STEEL WIRE ROPES UNDER TRANSVERSE IMPACT

Summary

With the surging need of structures like cable barrier systems for roads, landslide and rockfall barriers, and artificial bottoms for shaft mines. But it is necessary to continue studying the steel wire ropes under oblique or transverse impact for bigger impact body masses and velocities to develop more and better designs. Since 1945, the specific modelling of single wire ropes transversely impacted started with the works of Housner, H. G.  in 1945 [1], Rakhmatulin K. A.  in 1951 [2], Ringleb F. O. in 1956 [3], Cristescu, N. in 1967 [4], then continuing 31 years later with Oplatka, G., and Volmer M.  in 1998 [5], Lombard, J. in 1998 [6], [7], Teng, X., in 2005 [8], and last with the use of numerical solutions using LS-DYNA: Stolle, C. S., in 2010 [9], Gospodarczyk, P. in 2015 [10] and Tytko, A. A. et al in 2015 [11]. The eight first gave analytical solutions and only the last three authors had considered a finite length wire rope including the deceleration of the impact body without assuming beforehand a shape for the string (wire rope) but they did not give an analytical solution. This is why the main purpose of this article is to look again into the physics of this not so common studied phenomena presenting a new analytical model and contrasting it with already available experimental and simulated data of the tension in a straight steel wire rope, assumed as a string, with both ends rigidly fixed, and transversely impacted in its mid-point by a punctual mass for which its kinematics is also modelled until it fully or partially rebounds to its initial position.

Here are presented the general equations of motion for an elastic string as the wire rope, body and transverse impact idealization in its midpoint, a phenomenological model based on the specific characteristics of experiments and simulations done in previous researches and a contrast of results. 

Author(s): G. Vasquez-Arribasplata