Applied Mathematics and Mechanics (English Edition) ›› 2025, Vol. 46 ›› Issue (8): 1475-1492.doi: https://doi.org/10.1007/s10483-025-3277-8

Previous Articles     Next Articles

An innovative nonlinear bionic X-shaped vibration isolator enhanced by quasi-zero stiffness characteristics: theory and experimental investigation

Zeyu CHAI1, Zhen ZHANG1, Kefan XU1, Xuyuan SONG1,(), Yewei ZHANG1, Liqun CHEN2   

  1. 1.College of Aerospace Engineering, Shenyang Aerospace University, Shenyang 110136, China
    2.Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai Institute of Applied Mathematics and Mechanics, School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China
  • Received:2025-02-26 Revised:2025-05-27 Online:2025-07-28 Published:2025-07-28
  • Contact: Xuyuan SONG, E-mail: songxuyuan@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (No. U23A2066) and the Liaoning Revitalization Talents Program of China (No. XLYC2202032)

Abstract:

Bionic X-shaped vibration isolators have been widely employed in aerospace and other industrial fields, but the stiffness properties of classic X-shaped structures limit the vibration isolation ability for low frequencies. An innovative bionic quasi-zero stiffness (QZS) vibration isolator (BQZSVI), which can broaden the QZS range of a classic X-shaped isolator and can bring it closer to the equilibrium position, is proposed. The BQZSVI consists of an X-shaped structure as the bone fabric of lower limbs and a nonlinear magnetic loop device simulating the leg muscle. Based on static calculation, the stiffness characteristic of the structure is confirmed. The governing equations of motion of the BQZSVI structure are established in the framework of the Lagrange equation, and the harmonic balance method (HBM) is adopted to obtain the transmissibility responses. The results show that the BQZSVI can provide a more accessible and broader range of QZS. In the dynamic manifestation, the introduction of the BQZSVI can reduce the amplitude of a classic X-shaped vibration isolator by 65.7%, and bring down the initial vibration isolation frequency from 7.43 Hz to 2.39 Hz. In addition, a BQZSVI prototype is designed and fabricated, and the exactitude of the theoretical analysis method is proven by means of experiments.

Key words: bionic quasi-zero stiffness (QZS), X-shaped structure, magnetic loop device, vibration isolation, dynamic property

2010 MSC Number: 

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