A consistency analysis of phase-locked-loop testing and control-based continuation for a geometrically nonlinear frictional system

Two of the most popular vibration testing methods for nonlinear structures are control-based continuation and phase-locked-loop testing. In this paper, they directly compared on same benchmark system, first time, to demonstrate their general capabilities discuss practical implementation aspects. The considered which is specifically designed study, a slightly arched beam clamped at both ends via bolted joints. It exhibits pronounced softening–hardening behavior as well an increasing damping characteristic due frictional clamping. Both implemented identify periodic responses steady-state constituting phase-resonant backbone curve frequency response curves. To ensure coherent results, repetition variability thoroughly assessed uncertainty analysis. concluded that in excellent agreement, taking into account inherent system.