Modeling of a Jet Pipe Servovalve Considering Nonlinear Flow Forces Acting on the Spool
Abstract
:1. Introduction
2. Theoretical Model
2.1. Linear Model
2.1.1. Kinematic Analysis of Armature Assembly
2.1.2. Flow Equations for the Control Chamber
2.2. Nonlinear Dynamic Analysis of Spool
2.3. Mathematical Modeling of Closed-Loop Systems
3. Numerical Analysis
3.1. Nonlinear Analysis of the Third-Order Closed-Loop Systems
3.1.1. The Calculation of Equilibrium Points
3.1.2. Phase Portrait
3.1.3. Bifurcation Characteristics
- Hopf bifurcation
- Period-doubling bifurcations
3.2. Nonlinear Analysis of the Fifth-Order Closed-Loop System
3.2.1. The Calculation of Equilibrium Points
3.2.2. Phase Portrait
3.2.3. Simulation
4. Experiment
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Symbol | Value | Unit | Symbol | Value | Unit |
---|---|---|---|---|---|
1.5 | Pa | −9.1245 | - | ||
1.97 | m3 | 1.788 | - | ||
3.217 | m2 | 2.232 | - | ||
3.92 | kg | 9.8065 | - | ||
2.0 | N/m | 2.1 | Pa | ||
2 | m | 5 | Pa | ||
1.4 | m | 2.865 | m | ||
6 | m | 5.32 | kg m2 | ||
5.6713 | - | 8.938 | Nms/rad | ||
1.5833 | - | 1.5 | m |
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Kang, S.; Kong, X.; Zhang, J.; Du, R. Modeling of a Jet Pipe Servovalve Considering Nonlinear Flow Forces Acting on the Spool. Water 2024, 16, 683. https://doi.org/10.3390/w16050683
Kang S, Kong X, Zhang J, Du R. Modeling of a Jet Pipe Servovalve Considering Nonlinear Flow Forces Acting on the Spool. Water. 2024; 16(5):683. https://doi.org/10.3390/w16050683
Chicago/Turabian StyleKang, Shuangqi, Xiangdong Kong, Jin Zhang, and Ranheng Du. 2024. "Modeling of a Jet Pipe Servovalve Considering Nonlinear Flow Forces Acting on the Spool" Water 16, no. 5: 683. https://doi.org/10.3390/w16050683