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 sub-harmonic responses induced by piecewise-type nonlinearities in the middle of various dynamic behaviors in a torsional vibratory system. https://www.nacrack.com/flash-choice-Netgear-Nighthawk-LTE-Mobile-Hotspot-Router-Mobile-Hotspot-LTE-BRAND-NEW-p8608-best-super/