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.