Performance, robustness and sensitivity analysis of the nonlinear tuned vibration absorber

摘要

The nonlinear tuned vibration absorber (NLTVA) is a recently-developednonlinear absorber which generalizes Den Hartog's equal peak method tononlinear systems. If the purposeful introduction of nonlinearity can enhancesystem performance, it can also give rise to adverse dynamical phenomena,including detached resonance curves and quasiperiodic regimes of motion.Through the combination of numerical continuation of periodic solutions,bifurcation detection and tracking, and global analysis, the present studyidentifies boundaries in the NLTVA parameter space delimiting safe, unsafe andunacceptable operations. The sensitivity of these boundaries to uncertainty inthe NLTVA parameters is also investigated.