Design and Analysis of Internal–External Composite Meshing Hy-Vo Chain
Abstract
:Featured Application
Abstract
1. Introduction
2. Basic Design
2.1. Basic Parameters
2.2. Meshing Parameters
3. Internal Meshing Profile
3.1. Instantaneous Meshing Condition
3.2. Continuous Meshing Condition
3.3. Proper Internal Meshing Profile
4. Meshing Characteristics
5. Multi-Body Dynamics Experiments
5.1. Setting and Calculating
5.2. System Center Distance Fluctuation Analysis
5.3. Contact Analysis
5.4. Rotation Velocity of Driven Sprocket Analysis
6. Conclusions
- p1 = p and α1 = α are the necessary conditions for the existence of the internal–external composite meshing Hy-Vo chain. The proper internal meshing profile of the internal–external composite meshing Hy-Vo chain should be a straight line, and its convexity should satisfy Equation (19). Based on the dynamics simulation results, taking the external meshing Hy-Vo chain system as the benchmark, for the internal–external composite meshing Hy-Vo chain system, the meshing performance is improved by an average of 42.38%, the transmission stability is improved by an average of 40.73%, and the polygon action is improved by an average of 32.72%. For the mixed assembly Hy-Vo chain system, the meshing performance, the transmission stability, and the polygon action are only improved by an average of 13.08%, 8.12%, and 8.60%, respectively;
- The mixed assembly Hy-Vo chain cannot stably enhance the system meshing performance, transmission stability, and polygon action. According to the dynamics simulation results, compared with the external meshing Hy-Vo chain system, the system meshing performance, transmission stability, and polygon action of the mixed assembly Hy-Vo chain system can only be improved at some special speeds. At other speeds, the system meshing performance, transmission stability, and polygon action for the mixed assembly Hy-Vo chain system will become worse. In the worst case, the system meshing performance is reduced by 23.40%, the system transmission stability is worsened by 37.57%, and the system polygon action is worsened by 47.91% instead. Therefore, the proper internal meshing profile of the mixed assembly Hy-Vo chain is not an arc, and the relative design approach is false;
- The meshing between the internal–external composite meshing Hy-Vo chain and the involute sprocket is continuous but incomplete; its effect on reducing the polygon action and the transmission performance is limited. The main reason for that is because the tooth shape of the involute sprocket in the Hy-Vo chain transmission system is significantly smaller than that in the round pin jointed silent chain transmission system;
- The classical meshing theory about the internal–external composite meshing characteristics of the Hy-Vo chain is not completely correct. Under the classical meshing theory, the internal–external composite meshing mechanism should enhance the system meshing performance, transmission stability, and polygon action, as well as the meshing impact between the chain and the sprocket. However, based on the dynamics simulation results in this study, the maximum meshing impact of the internal–external composite meshing Hy-Vo chain system is increased by an average of 51.24%, and the average meshing impact is increased by an average of 6.19% instead. Therefore, we know that using the internal–external composite meshing mechanism can only enhance the system meshing performance, transmission stability, and polygon action but cannot improve the performance of the meshing impact;
- The system polygon action is not always consistent with the system meshing performance and transmission stability, and the polygon action of the Hy-Vo chain system cannot be evaluated by testing the maximum fluctuation difference of system center distance. In this research, the experiment results show that the system polygon action has the possibility to be improved when the system meshing performance and the system transmission stability are worsened.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Parameters | Meanings |
---|---|
p | The chain pitch |
A | The hole pitch |
α | The half angle of chain plate tooth profile |
f | The standard apothem |
f1 | The equivalent apothem when chain is straightened |
γ | The positioning offsetting angle |
rr | The contact radius of rocker pin |
Classes | Parameters | Meanings | Functions |
---|---|---|---|
Hy-Vo chain | pp″ | The equivalent positioning pitch | pp″ = p + 2rr + (p − A + 2rr)·tan γ·tan (φ/2) − 2rr/cos (φ/2) |
fp″ | The equivalent positioning apothem | fp″ = f + (A − pp″)·cos α/2 | |
rp | The radius of the positioning circle | rp = pp″/[2sin (π/z)] | |
Sprocket | p1 | The pitch | - |
α1 | The pressure angle | - | |
z | The tooth number | - | |
φ | The pitch angle | φ = 2π/z | |
r | The radius of reference circle | r = p1z/(2π) | |
rb | The radius of base circle | rb = r·cos α1 | |
ra | The radius of addendum circle | - | |
rf | The radius of dedendum circle | - |
No. | Meshing Mechanism | Chain Link Number | Shape of Internal Meshing Profile | δ (mm) | |
---|---|---|---|---|---|
External Meshing | Internal Meshing | ||||
1 | External meshing | 84 | 0 | - | - |
2 | Mixed assembly | 44 | 40 | Arc | 0.21 |
3 | Internal–external composite meshing | 0 | 84 | Straight line | 0.108 |
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An, L.; Li, J.; Cheng, Y.; Yu, Y.; Gu, X. Design and Analysis of Internal–External Composite Meshing Hy-Vo Chain. Appl. Sci. 2023, 13, 9581. https://doi.org/10.3390/app13179581
An L, Li J, Cheng Y, Yu Y, Gu X. Design and Analysis of Internal–External Composite Meshing Hy-Vo Chain. Applied Sciences. 2023; 13(17):9581. https://doi.org/10.3390/app13179581
Chicago/Turabian StyleAn, Lichi, Jiabao Li, Yabing Cheng, Yongkang Yu, and Xingchen Gu. 2023. "Design and Analysis of Internal–External Composite Meshing Hy-Vo Chain" Applied Sciences 13, no. 17: 9581. https://doi.org/10.3390/app13179581
APA StyleAn, L., Li, J., Cheng, Y., Yu, Y., & Gu, X. (2023). Design and Analysis of Internal–External Composite Meshing Hy-Vo Chain. Applied Sciences, 13(17), 9581. https://doi.org/10.3390/app13179581