Primary resonance suppression of a base excited oscillator using a spatially constrained system: Theory and experiment

This paper studies the dynamic behaviors of a magnetically coupled oscillator with two degrees-of-freedom. For the certain parameter combinations, the target component (TC), which is excited by a base movement, enters the saturated steady-state responses. Another component, which is called as the spatially constrained system (SCS), is considered as an energy absorber pumping out of the energy from the TC under 1:3 internal resonance. The governing equations of motion are derived using a magnetic dipole model and then are solved with the method of multiple scales. The energy distributions between the TC and SCS can vary with the base movement amplitude and excitation frequency. The saturation behavior is found and used for constraining the moving amplitude of an excited system. The bifurcation diagrams reveal the complex and interesting responses when the excitation frequency and amplitude change. The results include the comparisons among the analytical predictions, numerical simulations, and experimental tests. For the purpose of suppressing the primary resonance, the present system effectively transf er the energy from the excited component. The jumping and saturation phenomena are found in the experiments and the changes in the spectrum of two steady-state responses are also observed. (C) 2020 Elsevier Ltd. All rights reserved.

Automated summary

This paper investigates the dynamic behaviors of a magnetically coupled oscillator with two degrees-of-freedom, focusing on the energy distribution between components and the effect of saturation behavior on the moving amplitude of the excited system. The bifurcation diagrams reveal complex responses when excitation frequency and amplitude change, with comparisons among analytical predictions, numerical simulations, and experimental tests showing the system's effectiveness in transferring energy and observing jumping and saturation phenomena.