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On the application of generalized integral transform technique to wind‐induced vibrations on overhead conductors

2008; Wiley; Volume: 78; Issue: 8 Linguagem: Inglês

10.1002/nme.2513

1097-0207

Carlos Frederico Trotta Matt,

Wind and Air Flow Studies

Abstract The aim of the present paper is to describe the application of the generalized integral transform technique (GITT) for the theoretical analysis of wind‐induced vibrations on overhead conductors. In the mathematical model adopted, the complicated helicoidal geometry of the conductor is simplified by treating it as a homogeneous taut string simple supported at both ends. Solving the governing partial differential equation through the GITT approach, one derives purely analytical or analytical–numerical solutions for the conductor transverse displacement as a function of both position and time. In order to highlight the potential and flexibility of the GITT approach to account for realistic features of the phenomenon, three particular cases of practical interest are analyzed in detail, for which benchmark results are provided: (i) the damped‐free vibrations of the conductor; (ii) the harmonic‐forced vibrations of the conductor without and with Stockbridge dampers; and (iii) the forced vibrations of the conductor under a non‐linear wind excitation. The current results may be combined with previous analytical predictions to compute the conductor amplitudes and bending strains at critical locations. Although this work is focused on a taut string model for the conductor, the approach described herein may be easily extendable to the beam model. Copyright © 2008 John Wiley & Sons, Ltd.