Design sensitivity analysis of a Stockbridge damper to control resonant frequencies

Abstract

A Stockbridge damper system can control the aeolian vibrations in a transmission line by dissipating excitation energy through the self-excitation of the damper system. Therefore, locating these resonant frequencies is a critical design consideration for a Stockbridge damper to determine the efficiency of spectral energy dissipation. In this study, the design strategy of a damper was investigated after conducting a design sensitivity analysis of the resonant frequency of a Stockbridge damper that considered several design parameters, including length of the messenger wire, inertia of the counterweight, and gyration radius of the counterweight. The formulation of the design sensitivity analysis was performed using partial derivatives of the eigenvalues with respect to each design parameter over two resonant frequencies. The sensitivity formulations were validated through a case study of eigenvalues that considered a variation of up to ±30 % in the values of the design parameters. The design guidelines for a Stockbridge damper were derived from the sensitivity analysis results.