The paper is aimed at the parametric dynamic analysis of the two degrees of freedom (DoF) phenomenological model of aero-elastic interaction between a friction-damped flexible mounted body and a flowing fluid. A coupled system of a linear structure oscillator and the van der Pol based wake oscillator is introduced. Firstly, the complex eigenvalue problem is used for the comprehensive analysis of frequency lock-in, veering and crossing areas from the structural mode stability point of view. Further, an in-depth analysis of the fully nonlinear model based on the numerical continuation method is presented. The analysis focuses on non-synchronous vibration in the resonance areas. Attention is paid to the investigation of transition mechanisms to frequency lock-in and frequency veering in the structural response. In experimental studies, the amplitude and frequency jumps are observed. Here, we show that the origin of these jump phenomena results from the mutual coexistence of two stable solutions, which form a hysteresis region, which can be found in experimentally gained data. Moreover, the influence of structure friction-damping on nonlinear response is evaluated. The proposed phenomenological model is validated concerning two different experimental-based investigations.

中文翻译：

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减缩气弹系统的自感非同步共振现象及稳定性


本文旨在对摩擦阻尼柔性安装体与流动流体之间的气动弹性相互作用的二自由度 (DoF) 唯象模型进行参数动态分析。介绍了线性结构振荡器和基于范德波尔的尾流振荡器的耦合系统。首先，利用复特征值问题从结构模态稳定性的角度对频率锁定、转向和交叉区域进行综合分析。进一步，基于数值连续方法对全非线性模型进行了深入分析。分析重点是共振区域的非同步振动。重点关注结构响应中频率锁定和频率转向的过渡机制的研究。在实验研究中，观察到幅度和频率跳跃。在这里，我们证明这些跳跃现象的根源是两个稳定解的相互共存，这形成了一个滞后区域，可以在实验获得的数据中找到。此外，还评估了结构摩擦阻尼对非线性响应的影响。所提出的现象学模型在两项不同的基于实验的研究中得到了验证。