Thermo-mechanical instability in vibration absorbers

We analyze a problem of the thermo-mechanical instability caused by small changes of a viscous damping in vibration absorbers. The nonlinear coupling between the oscillations and temperature takes place due to a linear thermal dependence of the coefficient of energy dissipation. This provides typical phase–amplitude frequency patterns inherent in unstable regimes. While the damping coefficient decreases with the increase in the temperature, the effect of bifurcated oscillations can be exhibited brightly as some abnormal operating regimes. The vibration absorber appears as a complex dynamical system, behaving strongly upon the ambient temperature. Typical thermo-mechanical instability patterns are traced in detail within a parametric analysis along an approach closed to the Lie method. This study would explain some unwanted dynamical effects accompanying the utilizing of vibration absorbers.