# Study on Vibration Characteristics of Marine Centrifugal Pump Unit Excited by Different Excitation Sources

^{1}

^{2}

^{*}

## Abstract

**:**

## 1. Introduction

## 2. Numerical Calculation Model and Strategy

#### 2.1. Flow Field Calculation Model and Calculation Method

^{3}/h; rated head, H = 35 m; rated speed, n = 2950 r/min. The structural parameters of the marine pump are shown in Table 1.

^{−4}s, which is the time required for the impeller to rotate 1°. When the flow field is stable, the time-domain information of pressure pulsation on the surface of the stationary domain and moving domain can be derived. The pressure pulsation data for 10 stable cycles of impeller rotation were used as the fluid excitation source, and the total duration was set to 0.25s.

#### 2.2. Electromagnetic Field Calculation Model and Calculation Method

#### 2.3. Structure Calculation Model and Calculation Method

#### 2.4. Test Object and External Characteristic Experiment

## 3. Analysis of Numerical Simulation Results

#### 3.1. Analysis of Fluid Excitation Calculation Results

#### 3.1.1. Force Analysis of the Volute Wall

#### 3.1.2. Force Analysis of the Impeller

#### 3.2. Analysis of Electromagnetic Excitation Calculation Results

#### 3.3. Analysis of Vibration Calculation Results

#### 3.3.1. Fluid Excitation on the Inner Surface of the Pump-Induced Vibration Analysis

#### 3.3.2. Fluid Excitation in Impeller-Induced Vibration Analysis

#### 3.3.3. Electromagnetic Excitation-Induced Vibration Analysis

#### 3.4. Comparison of Numerical Simulation and Test Results

_{1}, VaL

_{2}, and VaL

_{3}are the vibration levels in three directions perpendicular to each other at the monitoring point.

## 4. Conclusions

## Author Contributions

## Funding

## Conflicts of Interest

## References

- Liu, H.-M.; Liu, Y. Research Status and Developing Tendency of Malfunction Diagnosis in Centrifugal Pumps. Agric. Sci. Technol. Equip.
**2019**, 1, 70–74, 77. [Google Scholar] - Zhao, Y.-Q. Research on Cavitation Diagnosis and Its Characteristics of Flow Field and Acoustic Field in Centrifugal Pump. Master’s Thesis, Jiangsu University, Zhen Jiang, China, 2018. [Google Scholar]
- Duan, X.-H.; Tang, F.-P.; Duan, W.-Y.; Zhou, W.; Shi, L.-J. Experimental investigation on the correlation of pressure pulsation and vibration of axial flow pump. Adv. Mech. Eng.
**2019**, 11, 168781401988947. [Google Scholar] [CrossRef] [Green Version] - Zhao, W.-Y.; Bai, S.-B.; Ma, P.-F. Vibration of Rotor in Centrifugal Pump Status and Prospects. Fluid Mach.
**2011**, 3, 37–39. [Google Scholar] - Ren, Y.-X.; Chen, H.-X. Introduction. In Fundamentals of Computational Fluid Dynamics; Liu, J.-L., Song, Y.-Q., Eds.; Tsinghua University Press: Beijing, China, 2006; pp. 5–6. [Google Scholar]
- Zhou, Y.-L. Analysis on Pressure Fluctuation and Vibration of a Centrifugal Pump for Off-design Conditions. Fluid Mach.
**2015**, 2, 52–55. [Google Scholar] - Lucius, A.; Brenner, G. Unsteady CFD simulations of a pump in part load conditions using scale-adaptive simulation. Int. J. Heat Fluid Flow
**2010**, 31, 1113–1118. [Google Scholar] [CrossRef] - Park, S.H.; Morrison, G.L. Centrifugal pump pressure pulsation prediction accuracy dependence upon CFD models and boundary conditions. In Proceedings of the ASME 2009 Fluids Engineering Division Summer Meeting, Vail, CO, USA, 2–6 August 2009; pp. 207–220. [Google Scholar]
- Wang, Y. Research on Cavitation and Its Induced Vibration and Noise in Centrifugal Pimps. Ph.D. Thesis, Jiangsu University, Zhen Jiang, China, 2011. [Google Scholar]
- Wang, Y.; Dai, C. Analysis on Pressure Fluctuation of Unsteady Flow in a Centrifugal Pump. Trans. Chin. Soc. Agric. Mach.
**2010**, 41, 91–95. [Google Scholar] - Jin, Y.-B.; Dong, K.-Y.; Yu, J.; Wu, X.-R. Research progress of centrifugal pump fluid-induced vibration. Pump Technol.
**2015**, 3, 1–5. [Google Scholar] - Ye, J.-P. Research on Optimization of Vibration and Structural Noise of Centrifugal Pump. Master’s Thesis, Wuhan University of Technology, Wuhan, China, 2006. [Google Scholar]
- Jiang, Y.-Y.; Yoshimura, S.; Imai, R.; Katsura, H.; Yoshida, T.; Kato, C. Quantitative evaluation of flow-induced structural vibration and noise in turbomachinery by full-scale weakly coupled simulation. J. Fluids Struct.
**2007**, 23, 531–544. [Google Scholar] [CrossRef] - Wang, Y.; Luo, K.-K.; Wang, K.; Liu, H.-L.; Li, Y.; He, X.-H. Research on pressure fluctuation characteristics of a centrifugal pump with guide vane. J. Vibroeng.
**2017**, 19, 5482–5497. [Google Scholar] [CrossRef] - He, T.; Yi, Z.-Y.; Sun, Y.-D. Numerical analysis for flow induced vibration of a centrifugal pump. J. Vib. Shock.
**2012**, 31, 96–102. [Google Scholar] - Jiang, A.-H.; Li, G.-P.; Zhou, P.; Zhang, Y. Vibration incited by fluid forces on centrifugal pump from volute path and impeller path. J. Vib. Shock.
**2014**, 33, 1–7. [Google Scholar] - Luo, B.; Wang, C.-L.; Xia, Y.; Ye, J.; Yang, X.-Y. Numerical simulation of flow-induced vibration of double-suction centrifugal pump as turbine. J. Drain. Irrig. Mach. Eng.
**2019**, 37, 313–318. [Google Scholar] - Yao, T.-T.; Zheng, Y. Finite element analysis of stress, deformation and modal of head cover in axial-flow hydro-turbine. J. Drain. Irrig. Mach. Eng.
**2020**, 38, 39–44. [Google Scholar] - Pei, J. Investigations on Fluid-Structure Interaction of Unsteady Flow-Induced Vibration and Flow Unsteadiness Intensity of Centrifugal Pumps. Ph.D. Thesis, Jiangsu University, Zhen Jiang, China, 2013. [Google Scholar]
- Zhang, D.-S.; Zhang, L.; Shi, W.-D.; Chen, B.; Zhang, H. Optimization of Vibration Characteristics for Centrifugal Pump Volute Based on Fluid-structure Interaction. Trans. Chin. Soc. Agric. Mach.
**2013**, 44, 40–45. [Google Scholar] - Guo, W.-J. Analysis of Unsteady Flow and Vibration Characteristics of Low Specific Speed Centrifugal Pump Based on Two-way Fluid-Structure Interaction. Master’s Thesis, Zhejiang Sci-Tech University, Hang Zhou, China, 2017. [Google Scholar]
- El-Gazzar, D.M. Finite element analysis for structural modification and control resonance of a vertical pump. Alex. Eng. J.
**2017**, 56, 695–707. [Google Scholar] [CrossRef] - Bae, D.-M.; QI, D.L.; Cao, B.; Cuo, W. A study on the method vibration analysis of marine pump. J. Korean Soc. Fish. Ocean. Technol.
**2015**, 51, 279–284. [Google Scholar] [CrossRef] - Wu, J.-H.; He, T.; Yi, Z.-Y. FEM/BEM analysis for flow induced noise and vibration of a centrifugal pump. Ship Sci. Technol.
**2016**, 38, 49–55. [Google Scholar] - Jiang, Y.; Zhao, J.-T. Reduce vibration measures for ship centrifugal pump based on modal analysis and CFD simulation. Ship Sci. Technol.
**2012**, 34, 109–114. [Google Scholar] - Choi, B.K. Abnormal Vibration Diagnosis of High Pressure LNG Pump. J. Power Syst. Eng.
**2005**, 2, 45–49. [Google Scholar] - Chen, W. Numerical Simulation an Experimental Study on Damping Vibration of Ships. Master’s Thesis, Shanghai Jiao Tong University, Shanghai, China, 2019. [Google Scholar]
- Liu, Z.; Li, B.; Ma, Q.-N.; Zhu, D.-P. Experiment on vibration characteristics of centrifugal pump with high head. J. Drain. Irrig. Mach. Eng.
**2013**, 31, 938–942. [Google Scholar] - Jiang, T. Vibration Level Evaluation of the Environmental Vibration Affected by Multi-vibration Sources. Urban Mass Transit
**2010**, 13, 26–29. [Google Scholar]

**Figure 2.**y+ distribution of the volute, pump chamber, and impeller: (

**a**) static domain; (

**b**) moving domain.

**Figure 4.**The three-dimensional (3D) model of the pump unit: (

**a**) pump unit structure; (

**b**) rotor system.

**Figure 10.**Time-domain and frequency-domain changes of pressure pulsation at each monitoring point: (

**a**) time-domain characteristics; (

**b**) frequency-domain characteristics.

**Figure 11.**The radial force on each part of the impeller in the time domain and frequency domain: (

**a**) time domain (X); (

**b**) frequency domain (X); (

**c**) time domain (Y); (

**d**) frequency domain (Y); (

**e**) time domain (Z); (

**f**) frequency domain (Z).

**Figure 14.**The distribution nephogram of electromagnetic force on the surface of the stator slot at different rotation angles.

**Figure 16.**The frequency spectrum of the vibration of the pump unit caused by fluid excitation on the inner surface of the pump: (

**a**) export flange; (

**b**) import flange; (

**c**) connecting plate; (

**d**) base.

**Figure 17.**The frequency spectrum of the vibration of the pump unit caused by fluid excitation in impeller: (

**a**) export flange; (

**b**) import flange; (

**c**) connecting plate; (

**d**) base.

**Figure 18.**The frequency spectrum of the vibration of the pump unit caused by electromagnetic excitation: (

**a**) export flange; (

**b**) import flange; (

**c**) connecting plate; (

**d**) base.

**Figure 19.**The total vibration velocity level caused by different excitation sources at each measuring point.

**Figure 20.**Comparison of the vibration generated by the fluid on the inner surface of the pump and the vibration obtained in the test: (

**a**) export flange; (

**b**) import flange; (

**c**) connecting plate; (

**d**) base.

Components | Geometric Parameters | Symbol | Value |
---|---|---|---|

Impeller | Inlet diameter (mm) | D_{1} | 65 |

Exit diameter (mm) | D_{2} | 165 | |

Exit width (mm) | b_{2} | 7 | |

Blade wrap angle (°) | φ | 110 | |

Blade numbers | z | 6 | |

Volute | Basic circle diameter (mm) | D_{3} | 170 |

Inlet width (mm) | b_{3} | 20 | |

Exit diameter (mm) | D_{d} | 50 |

Scheme | Number of Grids | Number of Nodes | Head (m) |
---|---|---|---|

1 | 1,647,157 | 1,474,148 | 34.5 |

2 | 2,457,849 | 2,287,414 | 35.2 |

3 | 2,914,979 | 2,741,943 | 35.5 |

4 | 3,278,458 | 3,024,785 | 35.5 |

5 | 3,715,756 | 3,546,854 | 35.6 |

Voltage (V) | 380 | Pole Number | 2 |
---|---|---|---|

Rated speed (rpm) | 2950 | Phase number | 3 |

Frequency (Hz) | 50 | Connection method | Delta connection |

Stator outer diameter (mm) | 210 | Stator inner diameter (mm) | 116 |

Rotor outer diameter (mm) | 114 | Rotor inner diameter (mm) | 74 |

Stator slot number | 30 | Rotor slot number | 26 |

**Table 4.**The value of total vibration velocity level of different measuring points obtained by simulation and test.

Measuring Point | Test Results (dB) | Fluid Excitation on the Inner Surface (dB) | Fluid Excitation in the Impeller (dB) | Electromagnetic Excitation (dB) |
---|---|---|---|---|

Outlet flange | 128.8 | 128 | 125 | 127 |

Inlet flange | 127.5 | 126 | 122.6 | 125.5 |

Connecting plate | 125.9 | 124.4 | 119.5 | 123.3 |

Base | 121 | 120.8 | 115 | 117.6 |

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. |

© 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).

## Share and Cite

**MDPI and ACS Style**

Dai, C.; Zhang, Y.; Pan, Q.; Dong, L.; Liu, H.
Study on Vibration Characteristics of Marine Centrifugal Pump Unit Excited by Different Excitation Sources. *J. Mar. Sci. Eng.* **2021**, *9*, 274.
https://doi.org/10.3390/jmse9030274

**AMA Style**

Dai C, Zhang Y, Pan Q, Dong L, Liu H.
Study on Vibration Characteristics of Marine Centrifugal Pump Unit Excited by Different Excitation Sources. *Journal of Marine Science and Engineering*. 2021; 9(3):274.
https://doi.org/10.3390/jmse9030274

**Chicago/Turabian Style**

Dai, Cui, Yuhang Zhang, Qi Pan, Liang Dong, and Houlin Liu.
2021. "Study on Vibration Characteristics of Marine Centrifugal Pump Unit Excited by Different Excitation Sources" *Journal of Marine Science and Engineering* 9, no. 3: 274.
https://doi.org/10.3390/jmse9030274