Construction of complex high order subharmonic vibrations in a nonlinear rotor system I: Eigenvalue dynamics and prediction

Xu, Yeyin; Wang, Mukai; Lu, Duhui; Zandigohar, Mehrdad

doi:10.1016/j.jsv.2024.118439

Journal of Sound and Vibration

2024

DOI: 10.1016/j.jsv.2024.118439

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Construction of complex high order subharmonic vibrations in a nonlinear rotor system I: Eigenvalue dynamics and prediction

Yeyin Xu,

Mukai Wang,

Duhui Lu

et al.

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2024

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Complex Periodic Motions and Bifurcations of a Forced Duffing Oscillator with Its Field-Programmable Gate Arrays Implementation

Liu,

Yang,

Mao

et al. 2024

Applied Sciences

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The dynamical behavior of a Duffing oscillator under periodic excitation is investigated using semi-analytical methods. Bifurcation trees with varying periodic excitation are constructed. The stability, saddle-node bifurcation and period-doubling bifurcation are revealed by assessing the eigenvalue of the model. From the bifurcation trees, we observed that saddle-node and period-doubling bifurcations occur when the excitation frequency and excitation amplitude vary to an appropriate value. The generation of periodic-doubling bifurcation leads to a change in the periodicity of periodic motion. The relationships among periodic-m motions are interconnected yet independent of each other. To satisfy the need of parameter selection for FPGA circuits, a dual-parameter map is calculated to study the periodic characteristics. Then, an FPGA circuit model is designed and implemented. The results show that the phase trajectory and waveform of the FPGA hardware circuit match the numerical model.

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Complex Periodic Motions and Bifurcations of a Forced Duffing Oscillator with Its Field-Programmable Gate Arrays Implementation

Liu,

Yang,

Mao

et al. 2024

Applied Sciences

View full text Add to dashboard Cite

show abstract

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Construction of complex high order subharmonic vibrations in a nonlinear rotor system I: Eigenvalue dynamics and prediction

Cited by 1 publication

References 12 publications

Complex Periodic Motions and Bifurcations of a Forced Duffing Oscillator with Its Field-Programmable Gate Arrays Implementation

Complex Periodic Motions and Bifurcations of a Forced Duffing Oscillator with Its Field-Programmable Gate Arrays Implementation

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