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<p>Quasi-zero stiffness (QZS) structures are widely employed due to their high static–low dynamic characteristic. While most current QZS structures demonstrate excellent performance in low-frequency vibration isolation, their complex design forms and challenging parameter tuning often limit engineering applications. To address this, this paper proposes a novel multi-segment beam-type QZS structure with simplified geometry and tunable properties. The proposed design consists of two symmetrically arranged inclined straight beams connected to a central platform. The structure first employs Timoshenko beam theory combined with the chain beam constraint method (CBCM) to establish its geometric-mechanical model. Key parameters are then optimized through a Kriging surrogate model and genetic algorithm, enabling QZS over a wide displacement range with flexible parameter-driven adjustability. The structure demonstrates strong global stability and is validated through theoretical analysis and experimental testing. A 3D-printed prototype confirms the vibration isolator’s effective vibration isolation performance, offering a practical solution for compact, high-performance QZS systems in engineering applications.</p>

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Design and optimization of multi-segmented beam structures with quasi-zero stiffness based on Kriging models

  • 期刊论文

  • 发表日期：

    2026年5月18日

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  • Ming Xu,
  • Yiwen Chai,
  • Zhiqiang Liu,
  • Qiangfeng Lu,
  • Ronghua Huan

摘要

Quasi-zero stiffness (QZS) structures are widely employed due to their high static–low dynamic characteristic. While most current QZS structures demonstrate excellent performance in low-frequency vibration isolation, their complex design forms and challenging parameter tuning often limit engineering applications. To address this, this paper proposes a novel multi-segment beam-type QZS structure with simplified geometry and tunable properties. The proposed design consists of two symmetrically arranged inclined straight beams connected to a central platform. The structure first employs Timoshenko beam theory combined with the chain beam constraint method (CBCM) to establish its geometric-mechanical model. Key parameters are then optimized through a Kriging surrogate model and genetic algorithm, enabling QZS over a wide displacement range with flexible parameter-driven adjustability. The structure demonstrates strong global stability and is validated through theoretical analysis and experimental testing. A 3D-printed prototype confirms the vibration isolator’s effective vibration isolation performance, offering a practical solution for compact, high-performance QZS systems in engineering applications.