Zhang Ruifu, Tao Qian, Zhang Li, Hao Linfei, Xue Songtao
State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University, Shanghai, 200092, China.
Department of Disaster Mitigation for Structures, Tongji University, Shanghai, 200092, China.
Sci Rep. 2025 Mar 24;15(1):10122. doi: 10.1038/s41598-025-93971-w.
Yoke-type inerters demonstrate adaptive apparent mass properties and dynamic negative stiffness characteristics; however, prior research has yet to establish an engineering-applicable mechanical constitutive model, thereby constraining their implementation in structural vibration control applications. This study proposes a multi-body dynamics-derived constitutive model that considers backlash-induced collision effects in yoke-type inerters, accompanied by experimental validation. Building upon established theoretical frameworks, a constitutive model is first formulated to incorporate inertial forces, Coulomb friction, and backlash nonlinearities. Subsequently, experiments are conducted on a prototype yoke-type inerter. To rigorously characterize the device's nonlinear behaviors arising from backlash and collision, a multi-body dynamics simulation is implemented, which facilitates the development of an enhanced constitutive model integrating collision. The enhanced model is then employed to quantitatively assess the influence of the backlash and collision on vibration isolator response. Experimental findings confirm the yoke-type inerter's the adaptive apparent mass effect and dynamic negative stiffness characteristics, suggesting its potential as a viable mechanism for advanced vibration mitigation systems. Comparative analysis reveals that simulation results obtained through the proposed multi-body dynamics model demonstrate strong concordance with experimental trends, thereby verifying both model validity and predictive accuracy. Parametric studies further establish that backlash-induced collision effects exert influence on isolator dynamic responses. The developed modeling framework provides critical theoretical foundations for optimized design of yoke-type inerter-enhanced structures, advancing practical applications in high-performance vibration suppression engineering.
轭式惯性器表现出自适应表观质量特性和动态负刚度特性；然而，先前的研究尚未建立适用于工程的力学本构模型，从而限制了它们在结构振动控制应用中的实施。本研究提出了一种基于多体动力学的本构模型，该模型考虑了轭式惯性器中由齿隙引起的碰撞效应，并进行了实验验证。在已建立的理论框架基础上，首先建立了一个本构模型，该模型纳入了惯性力、库仑摩擦和齿隙非线性。随后，对一个轭式惯性器原型进行了实验。为了严格表征由齿隙和碰撞引起的装置非线性行为，进行了多体动力学模拟，这有助于开发一个集成碰撞的增强本构模型。然后使用增强模型来定量评估齿隙和碰撞对隔振器响应的影响。实验结果证实了轭式惯性器的自适应表观质量效应和动态负刚度特性，表明其作为先进减振系统可行机制的潜力。对比分析表明，通过所提出的多体动力学模型获得的模拟结果与实验趋势具有很强的一致性，从而验证了模型的有效性和预测准确性。参数研究进一步表明，由齿隙引起的碰撞效应对隔振器动态响应有影响。所开发的建模框架为轭式惯性器增强结构的优化设计提供了关键的理论基础，推动了高性能振动抑制工程中的实际应用。
