# Design Method of the Stroke Ring Based on Deformation Pre-Compensation

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## Abstract

**:**

## 1. Introduction

## 2. Simulation Model

#### 2.1. Force Analysis

#### 2.2. Transient Dynamic Model

#### 2.3. Hydraulic Model

## 3. Influence of Elastic Deformation

#### 3.1. Deformation Analysis

#### 3.2. Deformation Test Verification

#### 3.3. Influence of Deformation on Motor Output Characteristics

## 4. Numerical Analyses Based on Deformation Compensation Optimization

#### 4.1. Compensation Method

#### 4.2. Result Verification

## 5. Conclusions

- A finite element simulation model was established to calculate the elastic deformation value of the stroke ring curve, which was verified using tests;
- The elastic deformation of the stroke ring curve has a significant effect on the output torque of the motor. Under the condition of 35 MPa, the pulsation rate of the uncompensated working curve is 3.902% higher than that of the ideal design curve;
- An effective deformation compensation optimization method was proposed. The results show that the pulsation rate of the deformation-compensated working curve was significantly reduced compared with the uncompensated working curve, and the reduction rate of torque pulsation reached 79.12% under 35 MPa working conditions;
- The research contents of this paper can provide reference for structural optimization and performance improvement of multiple-stroke piston motor used in military, marine, and engineering machinery and other occasions with high requirements for impact and noise;
- In the future, based on this research, factors such as oil film thickness and fatigue stress can be considered to better optimize the service life and performance of the multiple-stroke piston motor.

## Author Contributions

## Funding

## Data Availability Statement

## Conflicts of Interest

## References

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**Figure 11.**Pressure comparison diagram of piston chamber before and after deformation of ideal design curve under different pressures: (

**a**) 15 MPa; (

**b**) 20 MPa; (

**c**) 25 MPa; (

**d**) 30 MPa; (

**e**) 35 MPa; (

**f**) pressure pulsation increase rate.

**Figure 13.**Comparison of output torque before and after deformation of ideal design curve under different pressures: (

**a**) 15 MPa; (

**b**) 20 MPa; (

**c**) 25 MPa; (

**d**) 30 MPa; (

**e**) 35 MPa; (

**f**) torque pulsation rate comparison diagram.

Name | Material | Density/kg (m^{3})^{−1} | Young’s Modulus/MPa | Poisson’s Ratio | Yield Strength/MPa |
---|---|---|---|---|---|

Piston | 38CrMoAl | 7870 | 213,000 | 0.286 | 835 |

Roller | GCr15 | 7810 | 208,000 | 0.3 | 750 |

Bearing bush | PEEK | 1320 | 3200 | 0.41 | 97 |

Stroke ring | 42CrMo | 7850 | 212,000 | 0.28 | 930 |

Rotor | QT700 | 7300 | 145,000 | 0.3 | 420 |

Constraint Type | Component 1 | Component 2 |
---|---|---|

Fixed support | Stroke ring | Ground |

Bearing bush | Piston | |

Revolute support | Rotor | Ground |

Roller | Bearing bush | |

Translation support | Piston | Rotor |

Contact | Stroke ring | Roller |

Experimental Force (kN) | Displacement (μm) | Deformation (mm) | |
---|---|---|---|

Error | ±0.2% | ±0.5% | ±0.5% |

Resolution ratio | 0.002 | 0.04 | 0.002 |

Measurement range | 0.4–100 | \ | \ |

Location/° | Cylinder Diameter/mm | Roller Diameter/mm | Simulation Deformation Value/μm | Test Deformation Value/μm | Error/% |
---|---|---|---|---|---|

0 | 99.47 | 40 | 31.51 | 32.8 | 4.09 |

7 | 249.78 | 40 | 31.47 | 32.7 | 3.91 |

15 | 250.22 | 40 | 43.25 | 45.2 | 4.51 |

20 | 126.22 | 40 | 29.14 | 30.2 | 3.64 |

25 | 86.31 | 40 | 24.18 | 25.1 | 3.81 |

30 | 74.99 | 40 | 23.25 | 24.7 | 6.24 |

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**MDPI and ACS Style**

An, G.; Gao, K.; Dong, H.; Liu, B.; Li, L.; Hu, Z.
Design Method of the Stroke Ring Based on Deformation Pre-Compensation. *Actuators* **2024**, *13*, 22.
https://doi.org/10.3390/act13010022

**AMA Style**

An G, Gao K, Dong H, Liu B, Li L, Hu Z.
Design Method of the Stroke Ring Based on Deformation Pre-Compensation. *Actuators*. 2024; 13(1):22.
https://doi.org/10.3390/act13010022

**Chicago/Turabian Style**

An, Gaocheng, Kai Gao, Hongquan Dong, Baoyu Liu, Lin Li, and Zhenhua Hu.
2024. "Design Method of the Stroke Ring Based on Deformation Pre-Compensation" *Actuators* 13, no. 1: 22.
https://doi.org/10.3390/act13010022