悬臂式转子-轴承系统热弯曲振动特性分析

Vibration Characteristics Analysis of Thermal Bending for Cantilever Rotor-Bearing System

  • 摘要: 滑动轴承的楔形油膜对于高速旋转的转子轴颈有不均匀加热效应,使得轴颈产生周向温差。周向温差所导致的热弯曲会加剧转子振动,甚至造成转子热失稳,即所谓“莫顿效应”。对于悬臂式转子,莫顿效应尤其严重。首先建立椭圆轴承的热流体润滑模型并计算其动力系数及油膜温度场,然后基于傅里叶热传导理论,以所得油膜温度为边界条件,采用有限元方法求解轴颈三维瞬态温度场以获得轴颈热变形与热应力,对热应力积分得到等效弯矩用于转子动力学分析,同时基于热变形更新滑动轴承油膜厚度。重复上述步骤便完成了转子-轴承系统的流-固-热多场耦合分析,基于实验数据验证仿真模型的有效性。最后,以转子悬臂长度及悬垂质量为参数,对转子-轴承系统进行参数分析。结果表明,缩短悬臂长度或减小悬垂质量可有效降低系统振动。

     

    Abstract: The wedge-shaped oil film in sliding bearings induces uneven heating effects on the journal of a rapidly rotating rotor, resulting in circumferential temperature variations in the journal. The thermal bending caused by these temperature differences exacerbates rotor vibration, leading to a phenomenon known as "Morton effect" or rotor thermal instability. This effect is particularly severe in cantilevered rotors. Initially, an elliptical bearing's thermal fluid lubrication model is established, and its dynamic coefficients and oil film temperature field are calculated. Subsequently, based on Fourier heat conduction theory, using the obtained oil film temperature as a boundary condition, a finite element method is employed to solve the three-dimensional transient temperature field of the journal to determine the thermal deformation and thermal stress. The thermal stress is then integrated to obtain an equivalent moment for rotor dynamic analysis. Additionally, the sliding bearing oil film thickness is updated based on thermal deformation. Repeating these steps completes the fluid-solid-thermal multi-field coupling analysis of the rotor-bearing system, and the effectiveness of the simulation model is validated against experimental data. Finally, parameter analysis is conducted on the rotor-bearing system with the rotor's cantilever length and suspended mass as variables. The results indicate that reducing the cantilever length or decreasing the suspended mass effectively reduces system vibration.

     

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