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

TL;DR

This study analyzes the nonlinear tuned vibration absorber (NLTVA), exploring its performance, robustness, and sensitivity, by identifying safe operational boundaries and effects of parameter uncertainties using advanced numerical and bifurcation analysis.

Contribution

It introduces a comprehensive analysis of NLTVA's dynamical behavior, including boundary identification and sensitivity assessment, extending understanding of nonlinear vibration mitigation.

Findings

Boundaries for safe and unsafe NLTVA operation identified.

NLTVA performance is sensitive to parameter uncertainties.

Detachment of resonance curves and quasiperiodic regimes analyzed.

Abstract

The nonlinear tuned vibration absorber (NLTVA) is a recently-developed nonlinear absorber which generalizes Den Hartog's equal peak method to nonlinear systems. If the purposeful introduction of nonlinearity can enhance system 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 study identifies boundaries in the NLTVA parameter space delimiting safe, unsafe and unacceptable operations. The sensitivity of these boundaries to uncertainty in the NLTVA parameters is also investigated.