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<p>The increasing sensitivity of precision equipment to small environmental disturbances has imposed more stringent performance requirements on passive vibration isolation systems. Existing passive isolator designs predominantly emphasize lowering the isolation onset frequency, whereas improvements in vibration attenuation performance in the mid- and high-frequency ranges have received comparatively limited attention. To address this gap, this study proposes a multi-parameter vibration isolator (MPVI) design methodology based on a spatial beam structure, with the objective of expanding the effective isolation bandwidth and enhancing mid- and high-frequency vibration suppression.</p><p>A theoretical compliance matrix model of the combined spatial beam structure is first derived, and the structural characteristics of the load platform are incorporated into the dynamic formulation. Multiple structural parameters are selected as design variables, and a multi-objective optimization model is established by taking the system’s key natural frequencies as objective functions. The non-dominated sorting genetic algorithm II (NSGA-II) is employed to perform the optimization, yielding a set of Pareto-optimal solutions. On this basis, a rational combination of structural parameters is identified to improve the overall dynamic performance of the vibration isolation system.</p><p>Numerical simulation results indicate that, compared with a traditional vibration isolator (TVI), the proposed MPVI achieves significantly improved vibration attenuation in the mid- and high-frequency ranges, with an approximate 50% increase in vibration reduction within the target frequency band. Moreover, the relatively concentrated distribution of system natural frequencies provides a favorable structural foundation for the potential integration of active vibration control strategies. The proposed design approach offers an effective framework for parameter configuration and performance optimization of high-performance passive vibration isolation systems.</p>

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A study on the design method of multi-parameter collaborative optimization vibration isolators based on flexibility matrix reconstruction

  • 期刊论文

  • 发表日期：

    2026年7月2日

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  • Yang Chen,
  • Shuai He,
  • Chao Qin,
  • Yubo Zhang,
  • Anpeng Xu,
  • He Zhu,
  • Zhenbang Xu,
  • Hang Li,
  • Xuyan Zhang,
  • Xiaotao Cao

摘要

The increasing sensitivity of precision equipment to small environmental disturbances has imposed more stringent performance requirements on passive vibration isolation systems. Existing passive isolator designs predominantly emphasize lowering the isolation onset frequency, whereas improvements in vibration attenuation performance in the mid- and high-frequency ranges have received comparatively limited attention. To address this gap, this study proposes a multi-parameter vibration isolator (MPVI) design methodology based on a spatial beam structure, with the objective of expanding the effective isolation bandwidth and enhancing mid- and high-frequency vibration suppression.

A theoretical compliance matrix model of the combined spatial beam structure is first derived, and the structural characteristics of the load platform are incorporated into the dynamic formulation. Multiple structural parameters are selected as design variables, and a multi-objective optimization model is established by taking the system’s key natural frequencies as objective functions. The non-dominated sorting genetic algorithm II (NSGA-II) is employed to perform the optimization, yielding a set of Pareto-optimal solutions. On this basis, a rational combination of structural parameters is identified to improve the overall dynamic performance of the vibration isolation system.

Numerical simulation results indicate that, compared with a traditional vibration isolator (TVI), the proposed MPVI achieves significantly improved vibration attenuation in the mid- and high-frequency ranges, with an approximate 50% increase in vibration reduction within the target frequency band. Moreover, the relatively concentrated distribution of system natural frequencies provides a favorable structural foundation for the potential integration of active vibration control strategies. The proposed design approach offers an effective framework for parameter configuration and performance optimization of high-performance passive vibration isolation systems.