Sub-Harmonic Response Analysis of Nonlinear Dynamic Behaviors Induced by Piecewise-Type Nonlinearities in a Torsional Vibratory System

Piecewise-type nonlinearities, such as clutch dampers in a torsional system, induce complex nonlinear dynamic behaviors that resemble super- and sub-harmonic responses. This study focuses on investigating the responses induced by piecewise-type nonlinearities middle of various vibratory system. To examine characteristics regime, harmonic balance method (HBM) was implemented. Its results were compared with numerical simulation (NS). reveal responses, input conditions HBM modified small number values. In addition, bifurcation diagrams numerically determined projected onto stable unstable solutions to effective within regimes. The effects well, comparisons under lead an understanding behaviors. Overall, this suggests first analytical technique determine HBM, second investigates practical system considering bifurcations