Abstract Hybrid oil-bearing-viscoelastic-support systems are promising mechanical devices aiming to provide stability and vibration control in rotating systems. This paper proposes a mathematical model that combines analytical calculation of oil-film coefficients, fractional derivative approach for the viscoelastic materials dynamics and generalized equivalent parameters for dynamically modelling multi-DOF supports as stiffness coefficients. This general model accounts double frequency dependence of the hybrid system, i.e., spin speed and external excitation frequency, and temperature dependence of the viscoelastic material. The generalized equivalent parameter approach is fundamental for determining natural frequencies and ordaining the eigenvalues and eigenvectors of a rotating system that combines viscous and viscoelastic behaviors. The simulations show that viscoelastic supports improve the rotating system stability when compared to the system using oil bearings. Furthermore, the optimization can be applied to the hybrid system, improving the vibration suppression characteristics of the device.

中文翻译：

---

滑动轴承与粘弹性支撑相结合的混合旋转机械支撑稳定性分析与优化

摘要 含油-粘弹性混合支撑系统是一种很有前途的机械装置，旨在为旋转系统提供稳定性和振动控制。本文提出了一种将油膜系数的解析计算、粘弹性材料动力学的分数阶导数方法和用于动态建模多自由度支撑的广义等效参数作为刚度系数的数学模型。该通用模型考虑了混合系统的双频率依赖性，即自旋速度和外部激励频率，以及粘弹性材料的温度依赖性。广义等效参数方法是确定固有频率和确定结合粘性和粘弹性行为的旋转系统的特征值和特征向量的基础。模拟表明，与使用含油轴承的系统相比，粘弹性支撑提高了旋转系统的稳定性。此外，优化可以应用于混合系统，提高设备的振动抑制特性。