Effect of Oil Film Radial Clearances on Dynamic Characteristics of Variable Speed Rotor with Non-Concentric SFD
Abstract
:1. Introduction
2. Equivalent Rotor Design
2.1. Design of the Equivalent Rotor
- (1)
- The main structures, such as the fitting relationship between the inner ring of the bearing and the shaft, turbine disk and shaft, connection method, axial preloading method, support span, support method, support stiffness, and bearing lubrication method, were consistent with the real rotor.
- (2)
- The equivalent power turbine disks adopt an equivalent disk structure, and its inertia parameters, such as mass, center of mass, and moment of inertia, are consistent with those of the real power turbine disks. At the same time, while ensuring that the strength of the power turbine equivalent disk meets the requirements, the structure was simplified, and the blade, mortise, and groove structures of the real wheel disk were removed. The rotor structure shown in Figure 1 was mainly composed of a power turbine shaft with a hollow structure, two-stage turbine disks, and four bearings. The Bearing 1 is a ball bearing, and the others are all roller bearings. Moreover, the Bearing 2 adopts an NCSFD structure, as shown in Figure 2.
2.2. Comparison Between Equivalent and Real Rotor
3. Dynamic Characteristic Analysis
3.1. Rotor Motion Equation
3.2. Nonlinear Analysis
3.3. Critical Speeds and Vibration Shapes
4. Experimental Research
4.1. Equipment and Test Rig
4.2. Experimental Results and Analysis
- (1)
- As the oil film clearance increases, the critical speed gets smaller, and the amplitude at the critical speed decreases, indicating that NCSFD has a good vibration reduction effect when the rotor reaches the critical speed. However, when the oil film clearance is greater than 0.10 mm, the reduction in amplitude tends to be less significant.
- (2)
- When the oil film clearance is 0.05 mm, the rotor response amplitude and corresponding critical speed are both large.
- (3)
- When the oil film clearance is 0.15 mm, the response amplitude of the rotor at high speed after crossing the critical point is larger.
- (4)
- When the oil film clearance is 0.10 mm, the response amplitude of the rotor is small at critical speed and supercritical speed, and the operating speed range is wider. Therefore, it is more reasonable to take 0.10 mm as the oil film clearance.
5. Wide Speed Domain Stability Test of the Rotor System
6. Conclusions
- (1)
- The equivalent rotor dynamic characteristics designed have good consistency with the actual rotor, verifying the practical efficacy of the proposed dynamic similarity design method.
- (2)
- The rotor system with NCSFD exhibits obvious nonlinear characteristics, with the rotor exhibiting “single period motion” at low speeds, then gradually entering “chaotic motion” through bifurcation, and finally returning to “single period motion.” Different oil film radial clearances can lead to differences in the specific speed range of bifurcation points, “single period motion,” and “chaotic motion” regions.
- (3)
- Theoretical analysis and experimental verification have shown that selecting 0.10 mm as the oil film clearance is optimal. To expand the rotor’s operating speed range, increasing the oil film clearance is feasible, although attention should be paid to the rotor’s response amplitude at high speeds.
- (4)
- The rotor system has a deflection variation of no more than 4 μm and a vibration acceleration variation of no more than 0.04 g within the rotating speed range of 0.51 n to 1.0 n. This indicates that it has a wide working speed range.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Structural Parameters | Value |
---|---|
Length | 1400 mm |
Shaft diameter | 50 mm |
Mass | 35 kg |
Disks | Mass (kg) | Axial Position of Mass Center (mm) | Radius of Gyration (mm) |
---|---|---|---|
Equivalent disks | 29.554 | −69.392 | 128.84 |
True disks | 29.995 | −67.128 | 128.89 |
Error rate (%) | 1.49 | 3.37 | 0.03 |
Bearing Number | Support Stiffness (107 N∙m−1) |
---|---|
Bearing1 | 5.00 |
Bearing2 | 1.50 |
Bearing3 | 3.50 |
Bearing4 | 0.01 |
Critical Speed Order | Value of True Rotor | Value of Equivalent Rotor | Error (%) |
---|---|---|---|
First | 0.278 n | 0.264 n | 2.50 |
Second | 0.515 n | 0.517 n | 0.30 |
Third | 1.465 n | 1.488 n | 3.98 |
Mode Shapes Order | True Rotor | Equivalent Rotor |
---|---|---|
First | ||
Second | ||
Third |
Oil Film Radial Clearance Value (mm) | Support Stiffness (107 N∙m−1) | |||
---|---|---|---|---|
Bearing 1 | Bearing 2 | Bearing 3 | Bearing 4 | |
0.05 | 5.00 | 2.59 | 3.50 | 0.01 |
0.10 | 5.00 | 0.32 | 3.50 | 0.01 |
0.15 | 5.00 | 0.10 | 3.50 | 0.01 |
Oil Film Radial Clearance Value (mm) | First Three Orders Critical Speed And Margins (%) | ||
---|---|---|---|
First | Second | Third | |
0.05 | 0.283 n, 44.54 | 0.609 n, 5.80 | 1.859 n, 85.93 |
0.10 | 0.239 n, 22.06 | 0.443 n, 31.47 | 1.340 n, 33.95 |
0.15 | 0.220 n, 12.01 | 0.422 n, 34.73 | 1.305 n, 30.50 |
Oil Film Radial Clearance Value (mm) | First Three Orders Mode Shapes | ||
---|---|---|---|
First | Second | Third | |
0.05 | |||
0.10 | |||
0.15 |
Parameters | Sensors | Unit |
---|---|---|
Amplitude | Displacement sensor (D1–D4) | μm |
Vibration acceleration | Vibration acceleration sensor (A1–A6) | g |
Oil film Radial Clearance Value (mm) | Experimental Value | Calculated Value | Error (%) |
---|---|---|---|
0.05 | 0.630 n | 0.609 n | 3.21 |
0.10 | 0.475 n | 0.443 n | 7.04 |
0.15 | 0.457 n | 0.422 n | 7.62 |
Speeds | 0.51 n | 0.57 n | 0.63 n | 0.69 n | 0.74 n | 0.80 n | 0.86 n | 0.91 n | 0.97 n | 1.0 n | |
---|---|---|---|---|---|---|---|---|---|---|---|
Variation value (μm) | D1 | 220~224 | 103~105 | 79~81 | 93~96 | 99~102 | 97~99 | 108~110 | 115~117 | 114~116 | 119~121 |
D2 | 125~126 | 80~82 | 60~62 | 90~92 | 92~94 | 75~77 | 73~75 | 68~69 | 61~63 | 65~67 | |
D3 | 101~103 | 107~109 | 72~74 | 102~105 | 99~102 | 85~87 | 87~89 | 85~87 | 77~80 | 88~90 | |
D4 | 265~268 | 214~217 | 201~203 | 112~114 | 117~120 | 108~110 | 104~106 | 97~100 | 97~99 | 89~93 |
Speeds | 0.51 n | 0.57 n | 0.63 n | 0.69 n | 0.74 n | 0.80 n | 0.86 n | 0.91 n | 0.97 n | 1.0 n | |
---|---|---|---|---|---|---|---|---|---|---|---|
Variation value (g) | A1 | 0.13~0.16 | 0.16~0.18 | 0.28~0.30 | 0.10~0.13 | 0.19~0.22 | 0.15~0.18 | 0.20~0.23 | 0.24~0.26 | 0.33~0.35 | 0.33~0.35 |
A2 | 0.25~0.28 | 0.28~0.30 | 0.25~0.28 | 0.21~0.24 | 0.27~0.30 | 0.25~0.28 | 0.34~0.38 | 0.41~0.44 | 0.65~0.68 | 0.65~0.68 | |
A3 | 0.24~0.26 | 0.25~0.28 | 0.24~0.28 | 0.24~0.27 | 0.25~0.27 | 0.26~0.28 | 0.25~0.28 | 0.28~0.30 | 0.42~0.45 | 0.41~0.44 | |
A4 | 0.17~0.19 | 0.19~0.22 | 0.17~0.20 | 0.14~0.17 | 0.20~0.24 | 0.23~0.26 | 0.24~0.26 | 0.49~0.51 | 0.75~0.78 | 0.59~0.61 | |
A5 | 0.58~0.62 | 0.69~0.72 | 0.44~0.47 | 0.56~0.60 | 0.71~0.74 | 0.67~0.71 | 0.76~0.80 | 0.59~0.62 | 0.65~0.68 | 0.75~0.77 | |
A6 | 0.50~0.53 | 0.54~0.57 | 0.64~0.66 | 0.50~0.54 | 0.48~0.51 | 0.58~0.60 | 0.46~0.49 | 0.33~0.35 | 0.59~0.62 | 0.52~0.56 |
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Nie, W.; Yang, X.; Tang, G.; Zhang, Q.; Wang, G. Effect of Oil Film Radial Clearances on Dynamic Characteristics of Variable Speed Rotor with Non-Concentric SFD. Machines 2024, 12, 882. https://doi.org/10.3390/machines12120882
Nie W, Yang X, Tang G, Zhang Q, Wang G. Effect of Oil Film Radial Clearances on Dynamic Characteristics of Variable Speed Rotor with Non-Concentric SFD. Machines. 2024; 12(12):882. https://doi.org/10.3390/machines12120882
Chicago/Turabian StyleNie, Weijian, Xiaoguang Yang, Guang Tang, Qicheng Zhang, and Ge Wang. 2024. "Effect of Oil Film Radial Clearances on Dynamic Characteristics of Variable Speed Rotor with Non-Concentric SFD" Machines 12, no. 12: 882. https://doi.org/10.3390/machines12120882
APA StyleNie, W., Yang, X., Tang, G., Zhang, Q., & Wang, G. (2024). Effect of Oil Film Radial Clearances on Dynamic Characteristics of Variable Speed Rotor with Non-Concentric SFD. Machines, 12(12), 882. https://doi.org/10.3390/machines12120882