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Convergence Behaviors of Reduced-Order Models For Frictional Contacts

机译:摩擦接触降阶模型的收敛性

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Numerical models to simulate interface behavior of friction connections under cyclic loading are investigated. The question of validity of lower-order models in successfully capturing response of friction joints under cyclic loading is addressed. Single-element macroslip models are not capable of capturing localized interface behavior prior to gross interfacial slip. This paper focuses on the convergence behavior of a multipoint contact microslip model comprised of Iwan-type elements for different physical parameters such as system response amplitude and kinematic state of the friction joint. System dynamics play a significant role in determining the convergence of structural behavior, especially for tuned damper sets in the nonzero damper mass case. This behavior is explored using simple linearized models that explain the response sensitivity in terms of the overall modal density near the forcing frequency. Convergence of the interface response kinematics is also considered, with a focus on the number of damping elements operating in the stick, stick-slip, and slip regimes at steady state. Energy dissipation scaling under light forcing is also examined, with the class of models considered here yielding scaling exponents consistent with experimental observations and analytical predictions from the literature. We show that the interface kinematic behavior converges at a slower rate than the structural response and therefore requires a higher-order interface model. These results suggest that extremely low-order models (i.e., <5 damping elements) provide predictions that are model order dependent, while higher-order models (i.e., >50 damping elements) are not. This result impacts model development and calibration approaches, as well as providing clues for appropriate model reduction strategies.
机译:研究了用于模拟循环载荷下摩擦连接界面行为的数值模型。解决了低阶模型在循环载荷下成功捕获摩擦接头响应的有效性问题。单元素宏观滑移模型无法在总界面滑移之前捕获局部界面行为。本文重点研究由Iwan型元素组成的多点接触微滑动模型在不同物理参数(例如系统响应幅度和摩擦接头的运动状态)下的收敛行为。系统动力学在确定结构行为的收敛性方面起着重要作用,尤其是在非零阻尼器质量情况下的调谐阻尼器组。使用简单的线性化模型探索了此行为,该模型以接近强迫频率的总模态密度解释了响应灵敏度。还考虑了界面响应运动学的收敛性,重点是稳定状态下在操纵杆,操纵杆滑移和滑移状态下工作的阻尼元件的数量。还研究了光强迫下的能量耗散标度,此处考虑的模型类别产生的标度指数与文献中的实验观察结果和分析预测一致。我们表明,界面运动行为收敛速度比结构响应速度慢,因此需要较高阶的界面模型。这些结果表明,极低阶的模型(即<5个阻尼元素)提供的预测与模型阶次有关,而高阶模型(即> 50个阻尼元素)则没有。该结果影响模型开发和校准方法,并为适当的模型简化策略提供线索。

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