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

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

Chaos, Solitons & Fractals, 2025, vol. 199, issue P1

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.

Keywords: SD oscillator; Electromagnetic force; Acceleration transfer rate; Dynamic bifurcation; Cell mapping (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077925006459
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:199:y:2025:i:p1:s0960077925006459

DOI: 10.1016/j.chaos.2025.116632

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().