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<p>Conventional quasi-zero stiffness (QZS) vibration isolation systems fail to meet the requirements of high-frequency, heavy-duty mechanical equipment vibration isolation for multi-condition operations. To address this engineering challenge, this paper proposes a composite spring system capable of achieving dual quasi-zero stiffness (DQZS) under multi-condition operations. First, based on existing research and theoretical analysis, the hysteresis effect of standard disc springs under loading and unloading conditions is validated. Subsequently, a theoretical derivation establishes the criterion for negative stiffness in single disc spring, elucidating the mechanism by which disc springs with negative stiffness exhibit two distinct negative stiffness regions during loading and unloading. A composite spring system is then designed by parallelizing multiple negative stiffness disc springs with positive stiffness springs. Experimental results confirm the theoretical validity of the negative stiffness criterion for disc springs and demonstrate the existence of two distinct QZS regions in the composite spring system under multi-condition operations. Finally, the forced vibration characteristics of the composite spring system are investigated via the harmonic balance method, with quantitative analysis revealing its superior isolation performance. Results indicate that, compared to an equivalent linear stiffness system, the composite system exhibits significant amplitude suppression enhancement under high-frequency vibration: excitation amplitude is reduced by 62.1%, force transmissibility peak decreases by 37.8%, and quality factor declines by 45.8%.</p>

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Theoretical Design and Experimental Investigation of a Composite Spring System with Dual Quasi-Zero Stiffness Under Multi-Condition Operations

  • 期刊论文

  • 发表日期：

    2025年7月4日

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  • Lingxuan Li,
  • Xuesong Bai,
  • Baoqiang Li,
  • Ziwei Gao

摘要

Conventional quasi-zero stiffness (QZS) vibration isolation systems fail to meet the requirements of high-frequency, heavy-duty mechanical equipment vibration isolation for multi-condition operations. To address this engineering challenge, this paper proposes a composite spring system capable of achieving dual quasi-zero stiffness (DQZS) under multi-condition operations. First, based on existing research and theoretical analysis, the hysteresis effect of standard disc springs under loading and unloading conditions is validated. Subsequently, a theoretical derivation establishes the criterion for negative stiffness in single disc spring, elucidating the mechanism by which disc springs with negative stiffness exhibit two distinct negative stiffness regions during loading and unloading. A composite spring system is then designed by parallelizing multiple negative stiffness disc springs with positive stiffness springs. Experimental results confirm the theoretical validity of the negative stiffness criterion for disc springs and demonstrate the existence of two distinct QZS regions in the composite spring system under multi-condition operations. Finally, the forced vibration characteristics of the composite spring system are investigated via the harmonic balance method, with quantitative analysis revealing its superior isolation performance. Results indicate that, compared to an equivalent linear stiffness system, the composite system exhibits significant amplitude suppression enhancement under high-frequency vibration: excitation amplitude is reduced by 62.1%, force transmissibility peak decreases by 37.8%, and quality factor declines by 45.8%.