Applied Mathematics and Mechanics (English Edition) ›› 2026, Vol. 47 ›› Issue (10): 2145-2164.doi: https://doi.org/10.1007/s10483-026-3445-7

Previous Articles     Next Articles

Spider-web-inspired structure for low-frequency vibration isolation

Wei ZHANG1,2, Zikun WANG1, Chaoran LIU1,3(), Xiaoyang SU1,2   

  1. 1.Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, Beijing University of Technology, Beijing 100124, China
    2.School of Civil Engineering and Architecture, Guangxi University, Nanning 530004, China
    3.Chongqing Research Institute, Beijing University of Technology, Chongqing 401100, China
  • Received:2026-05-24 Revised:2026-07-20 Online:2026-10-12 Published:2026-10-12
  • Contact: Chaoran LIU, E-mail: chaoran@bjut.edu.cn
  • About author:First author contact:These authors contributed equally to this work
  • Supported by:
    Project supported by the National Natural Science Foundation of China (No. 12302002), the Beijing Natural Science Foundation of China (No. 3262009), the Young Elite Scientists Sponsorship Program of the Beijing High Innovation Plan of China (No. 20250902), and the Natural Science Foundation of Chongqing of China (No. CSTB2024NSCQ-MSX0692)

Abstract:

Spiders can easily maintain a stable posture under external disturbances owing to the excellent anti-disturbance capability of spider webs. Drawing inspiration from the intrinsic topological features of the spider web, this paper proposes a biomimetic structure for low-frequency vibration isolation, a capability that remains challenging for traditional isolators. The rods and elastic ropes are utilized to mimic the radial threads and circumferential threads of the spider web to produce negative stiffness, while the repulsive magnets are adopted to produce hardening positive stiffness. Through a nonlinear compensation method, the entire isolator combining the rod-elastic-rope structure and the repulsive magnets is designed to possess quasi-zero-stiffness (QZS) characteristics with high tunability, thereby enabling effective low-frequency vibration isolation. The static analysis and dynamic modeling of the proposed spider-web-inspired (SWI) isolator are carried out to reveal the underlying principle, along with an exploration of its diverse nonlinear dynamic behaviors such as bifurcations and chaos. The vibration isolation performance is then comprehensively investigated, validating the superior low-frequency isolation capability of the SWI isolator.

Key words: biomimetic structure, nonlinear compensation method, quasi-zero-stiffness (QZS), vibration isolation

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals