The Bouc-Wen model was used to investigate nonlinear dynamical behavior of a wire-rope isolator and an asymmetric Stockbridge damper. The experimental vibration signals were acquired through accelerometers placed along the sample. The wire-rope isolator system was excited using and electromechanical shaker with constant values of acceleration, and the Stockbridge damper was excited using a cam machine with different profiles. The numeric and experimental data were approximated using particle swarm optimization method. The agreement between numerical and experimental data show that the model of Bouc-Wen is well suited for dynamic analysis of such systems.

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The purpose of this work is to validate a nonlinear mathematical model (finite element method) for dynamic simulation of Stockbridge dampers of electric transmission line cables. To obtain the mathematical model, a nonlinear cantilever beam with a tip mass was used. The mathematical model incorporates a nonlinear stiffness matrix of the element due to the nonlinear curvature effect of the beam. To validate the mathematical model, the numerical results were compared with experimental data obtained on a machine adapted from cam test. Five different circular cam profiles with eccentricities of 0.25, 0.5, 0.75, 1.25, and 1.5 mm were used. Vibration data were collected through three accelerometers arranged along the sample. A good concordance was found between the numerical and experimental data. The same behavior was observed in tests of another Stockbridge damper excited by a shaker. The nonlinear behavior of the system was evidenced.

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