Keywords: vibration absorbers, tuned frequency, natural frequencies, nonlinear springs: soft springs, hard springs, stability, boundary value problem, multi-segment integration, nonlinear dynamics, forcing frequencies, simulation, periodic motion, instability, spring nonlinearity
Boundary value problem analysis of a tuned vibration absorber having non-linear springs
Non-linear dynamics of a two degrees-of-freedom (TDOF) tuned vibration absorber system using non-linear spring is studied as a boundary value problem. Five different combinations of linear and non-linear springs have been comprehensively analysed. For the different cases, a comparative study is made varying the forcing frequency. Another comparison is made for response versus time for different spring types at three important forcing frequencies. Analysis shows that the response of the system is changed because of the spring non-linearity; the change is different for different cases. Numerical simulation shows that the systems exhibit quasi periodic motion and instability.