Mechanical response of transmission lines based on sliding cable element

Abstract

In order to study the sliding characteristics when the cable is connected with the other rods in the transmission line structures, a linear sliding cable element based on updated Lagrangian formulation and a sliding catenary element considering the out-of-plane stiffness coefficient are put forward. A two-span and a three-span cable structures are taken as examples to verify the sliding cable elements. By comparing the tensions of the two proposed cable elements with the existing research results, the error is less than 1%, which proves the correctness of the proposed elements. The sliding characteristics should be considered in the practical engineering because of the significant difference between the tensions of sliding cable elements and those of cable element without considering sliding. The out-of-plane stiffness coefficient and friction characteristics do not obviously affect the cable tensions.

Keywords

transmission lines / sliding cable element / updated Lagrangian formulation / geometric nonlinearity / mechanical response

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