Analytical model for large deflection bending of helically stranded electrical wires

摘要

An analytical model is presented to calculate the elasto-plastic bending response of electrical wires subjected to large deflections. Electrical wires are defined as helically wound conductors enclosed in polymer insulation. For modeling purposes, the conductor layout in a wire's cross section is estimated using a packing algorithm. Euler-Bernoulli beam theory describes the overall wire bending behavior; the conductors' stick-slip behavior is modeled based on Coulomb's friction law. In the plastic region, the conductors are modeled as laminated composite beams. A cantilever bending setup is used to characterize the force displacement response of wires with different diameters, number of conductors, beam lengths, and conductor cross sections. The model parameters are calibrated to ensure that the force-displacement calculations are within the 95% confidence interval of the test data.