Instabilities in a nonlinear model of a passive damper

During a study of the dynamic characteristics of a wire rope vibration isolation system constructed with helical isolatoars, an interesting instability was observed. In addition to experimental investigation of this system, a semi-empirical model having nonlinear stiffness, nth-power velocity damping, and variable Coulomb-type friction damping was developed. Results obtained using ACSL compare well with experimental data. The primary emphasis of this paper, however, centers on the instabilities and largea-response behavior of this semi-empirical model. Stabilizing effects are discussed.