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A quantitative assessment of the model form error of friction models across different interface representations for jointed structures

机译：不同界面表示对连接结构的不同界面表示模型形式误差的定量评估

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摘要

Hysteretic models are widely used to model frictional interactions in joints to recreate experimental behavior. However, it is unclear which models are best suited for fitting or predicting the responses of structures. The present study evaluates 26 friction model/interface representation combinations to quantify the model form error. A Quasi-Static Modal Analysis approach (termed Rayleigh Quotient Nonlinear Modal Analysis) is adopted to calculate the nonlinear system response, and a Multi-Objective Optimization is solved to fit experimental data of the first mode of the Brake-Reuss Beam. Optimized parameters from the first mode are applied to the second and third bending modes to quantify the predictive ability of the models. Formulations for both tracing full hysteresis loops and recreating hysteresis loops from a single loading curve (Masing assumptions) are considered. Smoothly varying models applied to a five patch representation showed the highest flexibility (for fitting mode 1) and good predictive potential (for modes 2 and 3). For a second formulation, which uses 152 frictional elements to represent the interface, the physically motivated spring in series with a Coulomb slip model (elastic dry friction) has high error for fitting mode 1 and performs near the middle for predicting higher modes. For both interface representation, the best fit models are not the most physical, but rather the ones with the most parameters (as expected); however, the more physical models perform somewhat better for predicting the higher modes.
机译：滞后模型广泛用于在关节中模拟摩擦相互作用来重建实验行为。然而，目前尚不清楚哪种型号最适合配合或预测结构的响应。本研究评估了26个摩擦模型/接口表示组合，以量化模型形式误差。采用准静态模态分析方法（称为瑞利商非线性模态分析）来计算非线性系统响应，并解决了多目标优化以适合制动Reuss光束的第一模式的实验数据。来自第一模式的优化参数应用于第二和第三弯曲模式，以量化模型的预测能力。考虑用于跟踪全滞后环和从单个加载曲线（粉碎假设）的重新创建滞后环的制剂。应用于五个补丁表示的模型平稳变化显示了最高的灵活性（用于拟合模式1）和良好的预测电位（用于模式2和3）。对于使用152摩擦元件来表示界面的第二制剂，与库仑滑动模型（弹性干摩擦）串联的物理动力弹簧具有高误差，用于拟合模式1，并且在中间执行以预测更高模式。对于界面表示，最佳拟合模型不是最物理的，而是具有最多参数的物质（如预期）;然而，对于预测更高的模式，物理模型越多。

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