基于非线性弹性边界的双准零刚度区间柔顺隔振器

DUAL QUASI-ZERO-STIFFNESS INTERVAL COMPLIANT VIBRATION ISOLATOR BASED ON NONLINEAR ELASTIC BOUNDARY

  • 摘要: 大变形柔顺机构可作为非线性刚度元件用于准零刚度(quasi-zero-stiffness, QZS)隔振。针对QZS隔振的负载适应性问题,基于边界敏感性提出一种利用非线性弹性边界构造双QZS区间的新方式,并设计了一种双层柔顺隔振器。下层机构为上层机构提供可控的非线性弹性边界与轴力释放路径,使上层机构在两种大变形状态下均呈现QZS特性。采用改进的链式梁约束模型,建立了双层隔振器的非线性恢复力模型,并揭示了设计参数对双QZS特性的影响规律。利用谐波平衡法求解了隔振器在两个QZS区间内的非线性幅频响应。结果表明,该隔振器可为两个质量范围的负载提供起始频率低至2.3 Hz的低频隔振能力,在简谐激励下表现出非对称振动响应现象。

     

    Abstract: A large-deformation compliant mechanism can be used as a nonlinear stiffness element for quasi-zero-stiffness (QZS) vibration isolation. To address the load adaptability issue of QZS isolation, a new approach for constructing dual QZS interval by exploiting nonlinear elastic boundaries based on boundary sensitivity is proposed, and a double-layer compliant isolator is designed. The lower mechanism provides a controllable nonlinear elastic boundary and an axial force release path for the upper mechanism, enabling the upper mechanism to exhibit QZS characteristics in two distinct large-deformation states. An improved chained beam constraint model is employed to establish the nonlinear restoring force model of the double-layer isolator, and the influence of design parameters on the dual QZS characteristics is revealed. The nonlinear amplitude-frequency responses of the isolator within the two QZS ranges are solved using the harmonic balance method. The results show that the isolator can offer low-frequency vibration isolation with an onset frequency as low as 2.3 Hz for payloads in two mass ranges, and it exhibits asymmetric vibration response phenomena under harmonic excitation.

     

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