Time-Variant Reliability Analysis for Rubber O-Ring Seal Considering Both Material Degradation and Random Load
Abstract
:1. Introduction
2. Methods for Reliability Analysis
2.1. Failure Modes and Criterion
- (1).
- Rubber is the material used in O-rings, which is isotropic and incompressible. The volume of rubber remains the same during its deformation;
- (2).
- As is shown in Figure 1a, the hydraulic system is completely axisymmetric, which means that all the cross profiles of the system bear the same stress. To reduce the computation and increase the accuracy of results, one cross profile (similar to Figure 1b) has been extracted, and the three-dimensional sealing device is changed into a planar question to make the analysis easier;
- (3).
- When constructing the geometric model of the sealing device, we regard the piston and cylinder as rigid bodies, which means when the model is compressed, only the O-ring will deform.
2.2. Materials
2.3. Reliability Modeling
3. Experiments and Simulations
3.1. Experimental Design
3.2. Experimental Results
3.3. Simulations
4. Reliability Analysis under Multiple Conditions
4.1. Material Degradation and Random Load
4.2. Result of Reliability Analysis
4.3. Discussion
4.3.1. Life Prediction and Model Error Analysis
4.3.2. Effect of Oil Pressure
4.3.3. Comparison with the Actual Situation
5. Conclusions
- (1)
- In view of the time-variant degradation of rubber material parameters, its degradation rule can be obtained by using the experimental method in this paper. According to the experimental results, the performance of rubber material worsens with an increase in working hours.
- (2)
- The maintenance and replacement period of the O-ring predicted in this paper is 12 months, with the number of failures having increased sharply after the 12th month according to the actual situation. There is ample evidence to support why 12 months is used as the replacement cycle for the O-ring. Furthermore, the flaws in the processing technology would lead to varying decrements of the O-ring, despite the variations in decrement caused by the processing technology having little impact on the reliability.
- (3)
- The variation in working load would lead to a variation in oil pressure. Furthermore, the impact load creates considerable damage in the O-ring, which would trigger accidents. We optimized the input of the load and properly distributed the impact load to ensure the safe operation of this hydraulic system.
- (4)
- From the analysis results, the reliability model of the O-ring is obtained and calculated through the case analysis with consideration of both material reliability and seal reliability. In the case study, the reliability of the O-ring is high enough, as confirmed by the actual situation. The method in this paper can accurately and promptly calculate the reliability of the O-ring.
Author Contributions
Conflicts of Interest
List of Symbols/Nomenclature
Symbols | Nomenclature | Definition | Unit |
The maximum compressive stress | The maximum value of the stress applied to the rubber during compression. | MPa | |
and | The maximum contact stress | The maximum value of the stress generated by the contact surface when contacting each other. | MPa |
The small contact stress | The minimum value between and . | MPa | |
Limit stress | The stress value of the rubber in the compression process when the normal working capacity is lost. | MPa | |
Oil pressure | The pressure of the hydraulic oil on O-ring during hydraulic system work. | MPa | |
The maximum oil pressure | The maximum value of oil pressure. | MPa | |
Decrement of O-ring | Decrement of O-ring during compression. | mm | |
The mean of . | The mean of . | mm | |
Material reliability | The probability that rubber material does not fail. | / | |
Seal reliability | The probability of no leakage. | / | |
System reliability | The probability of O-ring working properly. | / | |
/ | The upper limit of decrement | Decrement which satisfies with . | mm |
/ | The lower limit of decrement | Decrement which satisfies with . | mm |
The limit of decrement | Decrement which satisfies with both and . | mm | |
/ | Contract properties | The properties of the two contact surface in ABAQUS. | / |
/ | Nephogram | A photograph of a cloud. | / |
/ | Deviation | The degree of deviation from the initial value. | % |
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Parameters | Value |
---|---|
D (mm) | 3.60 |
H (mm) | 2.10 |
d (mm) | 2.65 |
Input Parameters | Value |
---|---|
Time/Month | /MPa | /mm | /mm | |||
---|---|---|---|---|---|---|
0 | 20.79 | 0.12 | 0.46 | 1 | 1 | 1 |
3 | 16.55 | 0.15 | 0.42 | 1 | 1 | 1 |
6 | 12.86 | 0.18 | 0.39 | 1 | 1 | 1 |
9 | 9.66 | 0.21 | 0.36 | 1 | 1 | 1 |
12 | 7.61 | 0.28 | 0.33 | 0.9831 | 0.9214 | 0.9044 |
15 | 5.06 | 0.42 | 0.31 | 0.7603 | 0 | 0 |
18 | 2.83 | out of range | 0.29 | 0.2398 | 0 | 0 |
Time/Month | Deviation | Deviation | Deviation | |||
---|---|---|---|---|---|---|
0 | 1 | 0.00% | 1 | 0.00% | 1 | 0.00% |
3 | 1 | 0.00% | 1 | 0.00% | 1 | 0.00% |
6 | 1 | 0.00% | 1 | 0.00% | 1 | 0.00% |
9 | 1 | 0.00% | 1 | 0.00% | 1 | 0.00% |
12 | 0.9835 | 0.04% | 0.9217 | 0.03% | 0.9048 | 0.04% |
15 | 0.7606 | 0.04% | 0 | 0.00% | 0 | 0.00% |
18 | 0.2399 | 0.04% | 0 | 0.00% | 0 | 0.00% |
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Liao, B.; Sun, B.; Yan, M.; Ren, Y.; Zhang, W.; Zhou, K. Time-Variant Reliability Analysis for Rubber O-Ring Seal Considering Both Material Degradation and Random Load. Materials 2017, 10, 1211. https://doi.org/10.3390/ma10101211
Liao B, Sun B, Yan M, Ren Y, Zhang W, Zhou K. Time-Variant Reliability Analysis for Rubber O-Ring Seal Considering Both Material Degradation and Random Load. Materials. 2017; 10(10):1211. https://doi.org/10.3390/ma10101211
Chicago/Turabian StyleLiao, Baopeng, Bo Sun, Meichen Yan, Yi Ren, Weifang Zhang, and Kun Zhou. 2017. "Time-Variant Reliability Analysis for Rubber O-Ring Seal Considering Both Material Degradation and Random Load" Materials 10, no. 10: 1211. https://doi.org/10.3390/ma10101211
APA StyleLiao, B., Sun, B., Yan, M., Ren, Y., Zhang, W., & Zhou, K. (2017). Time-Variant Reliability Analysis for Rubber O-Ring Seal Considering Both Material Degradation and Random Load. Materials, 10(10), 1211. https://doi.org/10.3390/ma10101211