Applied Mathematics and Mechanics (English Edition) ›› 2026, Vol. 47 ›› Issue (11): 2435-2454.doi: https://doi.org/10.1007/s10483-026-3454-7

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A novel bidirectional X-shaped linkage mechanism with torsional dual-stiffness for low-frequency vibration isolation

Chuanyun YU1, Jianrun ZHANG1, Xiaofei DU2, Qingguo FEI1()   

  1. 1.School of Mechanical Engineering, Key Laboratory of Structure and Thermal Protection for High-Speed Aircraft of Ministry of Education, Jiangsu Engineering Research Center of Aerospace Machinery, Southeast University, Nanjing 211189, China
    2.School of Mechanical Engineering, Nanjing Institute of Technology, Nanjing 211167, China
  • Received:2026-05-15 Revised:2026-08-06 Online:2026-11-02 Published:2026-11-02
  • Contact: Qingguo FEI, E-mail: qgfei@seu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Nos. 52125209, 52532012, and 52405275), the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province of China (No. 24KJB460017), and the Postdoctoral Fellowship Program of China Postdoctoral Science Foundation (No. GZC20250946)

Abstract:

Low-frequency vibration suppression under multidirectional excitations remains a major challenge in engineering systems. To address this issue, a novel bidirectional quasi-zero-stiffness (QZS) X-shaped linkage isolator incorporating torsional positive springs and a torsional magnetic negative stiffness (TMNS) mechanism connected in parallel is proposed. The parallel torsional positive-negative-stiffness strategy enables simultaneous QZS characteristics in both horizontal and vertical directions. An analytical model describing the coupled in-plane dynamics is established and validated through ADAMS simulations. The stability analysis shows that the stable potential well disappears under horizontal-torsional coupling when the vertical static equilibrium displacement exceeds a critical threshold. With the torsional motion constrained, the coupled dynamic behavior and transmissibility under bidirectional excitations are further investigated. Compared with previous structures, the proposed isolator achieves superior bidirectional low-frequency vibration-isolation performance. The experimental results agree well with the theoretical predictions, confirming the effectiveness of the proposed bidirectional vibration-isolation mechanism.

Key words: quasi-zero-stiffness (QZS), low-frequency vibration isolation, torsional magnetic negative stiffness (TMNS), bidirectional vibration isolator, X-shaped mechanism

2010 MSC Number: 

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