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 transfer 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.
Zhou, JW; Zhang, W; Wang, XS; Mann, BP; Dowell, EH
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