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| 标 题： |
Analytical model of curvic coupling and application in nonlinear vibration analysis of a squeeze film damper - rolling bearing - rotor system
曲率耦合的分析模型及其在挤压膜阻尼器—滚动轴承—转子系统非线性振动分析中的应用 |
| 作 者： |
Junzeng He
Dong Jiang
Stefano Marchesiello
Xueyang Miao
Dahai Zhang
Qingguo Fei |
| 关键词： |
Vibration analysis [振动分析]
Curvic coupling [ 曲轴联轴器]
Squeeze film damper [ 挤压薄膜阻尼器]
Rolling bearing [ 滚动轴承]
Rotor [ 转子] |
| 出版年： |
2025 |
| 期刊名： |
Applied Mathematical Modelling
应用数学建模 |
| 年卷期： |
2025, vol.137, no.Pt.B |
| 摘 要： |
The curvic coupling has been extensively employed in the rotor system of aero-engine. Effects of the radical slip of the teeth and damping are usually neglected in the traditional models of the curvic coupling. Additionally, there are only a few researches on the vibration characteristics of the rotor system with curvic coupling, squeeze film damper (SFD) and rolling bearing. In this paper, an analytical model of the curvic coupling is proposed. The nonlinear vibration analysis of a SFD - rolling bearing - rotor system with curvic coupling is furtherly carried out. The Jenkins element is adopted to simulate the dynamic behaviors of the curvic coupling in the model. The hysteresis curves of the analytical model show good agreement with the results of the three-dimensional (3D) finite element (FE) simulation. After that, the dynamic equation of a SFD - rolling bearing - rotor system with curvic coupling is formulated. Subsequently, detailed parametric analyses, including preload, number of teeth and pressure angle, are conducted to investigate the vibration characteristics of the rotor system. Results show that the curvic coupling mainly produces stiffness loss and damping at the interface of the curvic coupling. The motion stability of the rotor system can be enhanced by increasing the preload, number of teeth at multiple curvic couplings and pressure angle. Moreover, the vibration level of the rotor system initially decreases and then increases as the number of the teeth and pressure angle increase. Finally, the numerical results are validated to be reasonable by an experimental study.
曲率联轴器在航空发动机转子系统中得到了广泛应用。传统曲率联轴器模型通常忽略了齿的激振滑移效应和阻尼效应。此外，关于曲率联轴器、压膜阻尼器（SFD）与滚动轴承组合的转子系统振动特性的研究也较为有限。本文提出一种曲率联轴器的解析模型，并进一步对包含曲率联轴器、压膜阻尼器和滚动轴承的转子系统进行非线性振动分析。在模型中采用Jenkins元件来模拟曲率联轴器的动力学行为。该解析模型的滞后曲线与三维（3D）有限元（FE）仿真结果具有良好的一致性。随后，建立了含曲率联轴器的压膜阻尼器-滚动轴承-转子系统的动力学方程。接着，开展了包括预载荷、齿数和压力角等参数的详细参数分析，以研究转子系统的振动特性。结果表明，曲面联轴器主要在联轴器界面产生刚度损失和阻尼。通过增大预紧力、多个曲面联轴器的齿数以及压力角，可提高转子系统的运动稳定性。此外，随着齿数和压力角的增加，转子系统的振动水平先降低后升高。最后，通过实验研究验证了数值结果的合理性。 |
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