Hysteretic beam model for steel wire ropes hysteresis identification

Abstract

A nonlinear hysteretic beam model based on a geometrically exact planar beam theory combined with a continuum extension of the Bouc-Wen model of hysteresis is proposed to describe the memory-dependent dissipative response of short wire ropes which have the unique feature of exhibiting hysteretic energy dissipation due to the interwire friction. With the proposed model, hysteresis is introduced in the constitutive equation between the bending moment and the curvature within the special Cosserat theory of shearable beams. The model is indeed capable of describing the hysteretic behavior exhibited by short steel wire ropes subject to flexural cycles. The model parameters which best fit a series of experimental measurements for selected wire ropes are identified employing the Particle Swarm Optimization method. The identified parameters are used to reproduce other experimental tests on the same wire ropes obtaining a good accuracy.