Handbook of Friction-Vibration Interactions

4.3.6 Non-linear numerical analysis

For a general complex system with friction, to obtain an analytical solution is difficult. The transient analysis by using the numerical approach is a feasible approach to obtain a quantitative prediction.

For one-degree-of-freedom systems, the basic vibration phenomena are depicted in Section 4.2. For MDOF friction systems, besides the above cases, the basic characteristics are similar to that of the MDOF non-linear system presented in Chapter 2, such as primary resonance, secondary resonance, combination resonance, bifurcation and chaos. For the MDOF friction system, complex eigenvalue analysis offers an efficient way to estimate the instability associated with the primary resonance. But this predication ...