MS04.2: Experiments in Nonlinear Dynamics and Control

This paper examines the escape dynamics of a harmonically excited, one-degree-of-freedom (DoF) bistable mechanical system. The study focuses on validating the V-shaped critical force-frequency curve, influenced by concurrent escape mechanisms: the maximum mechanism (MM) and the saddle mechanism (SM). We investigate the effects of varying initial excitation phases and viscous damping on this curve. Given the minimal damping of the system, the transient dynamics, significantly impacted by the initial phase, is crucial in the escape process.

An experimental nonlinear mass-in-mass meta-cell is fabricated and observed responses under base excitation are compared to analytical predictions. The unit mass-in-mass cell, capable of presenting periodic and non-periodic responses, exhibits vibro-acoustical control. Units are assembled in order to fabricate a meta-chain for the aim of localization and creation of nonlinear behaviors in the chain.