Investigation of the Two-state, Maximum Work Extraction Switching Rule of a State-switched Absorber for Vibration Control

Abstract

A state-switched absorber (SSA) is a derivative of a classical tuned vibration absorber (TVA). An SSA is a mass-spring-damper system that is capable of instantaneously changing its stiffness, thus is capable of instantaneously changing its resonance frequency. Between instantaneous switch events, the absorber is a passive device, acting similarly to a classical TVA. When a switch event occurs, the SSA instantly changes its stiffness, effectively `retuning' its resonance frequency. At this point, the SSA remains tuned to this new frequency until the next switch event, where it changes frequencies again. Previous research has shown that applying a maximum work extraction switching rule to a two-stiffness-state absorber results in improved performance of the SSA over classical vibration absorbers. The article at hand investigates the two-state, maximum work extraction switching rule in more detail. Specifically, the explanation of how the switching rule reduces the vibration of the base to which it is attached is considered. The article also details the stability of such a switching rule.