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Stability study of electromagnetic SD oscillator vibration isolation system considering nonlinear characteristics of electromagnetic force under state feedback control

Author

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  • Wang, Meiqi
  • Zu, Qian
  • Wang, Ruichen
  • Qin, Chengwei
  • Liu, Pengfei

Abstract

To enhance the robustness of SD oscillator system, an electromagnet with state feedback control is introduced above the oscillator, considering the nonlinear characteristics of the electromagnetic force. Initially, the system's steady-state amplitude-frequency response, phase-frequency response, and backbone curve are determined using the averaging method. These results are compared with the traditional SD oscillator, analyzing the influence of state feedback parameter on vibration isolation effectiveness and acceleration transmissibility. Subsequently, differences in bifurcation diagrams between the conventional SD oscillator and the electromagnetic SD oscillator are examined, focusing on how parameters affect the system's dynamic bifurcation characteristics. Finally, employing the cell mapping method, the global bifurcation characteristics are analyzed, investigating how parameters influence the number of attractors and the area of their attraction domains. The research indicates that the system exhibits rich nonlinear characteristics, and that appropriate selection of state feedback parameters can effectively suppress chaos and bifurcations induced by external excitation, thereby enhancing the system's stability and vibration isolation performance.

Suggested Citation

  • Wang, Meiqi & Zu, Qian & Wang, Ruichen & Qin, Chengwei & Liu, Pengfei, 2025. "Stability study of electromagnetic SD oscillator vibration isolation system considering nonlinear characteristics of electromagnetic force under state feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
  • Handle: RePEc:eee:chsofr:v:199:y:2025:i:p1:s0960077925006459
    DOI: 10.1016/j.chaos.2025.116632
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