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Dynamic Analysis of the Stick-Slip Phenomenon in an Automotive Water Pump

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Abstract

In this paper, we present a study on the stick-slip torsional vibration of the spinning shaft in an automotive water pump. We propose a dynamic rotor model with a pulley, an impeller, a mechanical seal and a shaft to analyze the stick-slip vibration of a water pump. The dynamic states of the mechanical seal are classified into stick and slip states depending on whether the seal and mating rings of the mechanical seal have relative motion or not. We derived the partial differential equations of motion and the corresponding boundary conditions for each state of the seal. In addition, we established a judgement criterion for the stick and slip states of the seal. After the equations of motion were discretized by a proposed finite element procedure, the dynamic responses of the rotor system of a water pump were computed by using the generalized-a time integration method. Furthermore, we analyzed the effects of various system parameters on stick-slip vibration, including the mass moment of inertia for the pulley, the drag torque at the impeller, the external torque at the pulley, and the normal force between the seal and mating rings.

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Abbreviations

C d :

drag coefficient of the impeller

G :

shear modulus of the shaft

I p :

mass moment of inertia of the pulley

I i :

mass moment of inertia of the impeller

J :

polar moment of inertia of the shaft

L :

length of the shaft

(Tf)max :

maximum static friction torque

T r :

shaft torque at the seal position

T p :

external torque applied to the pulley

x r :

mechanical seal location

μ s :

maximum static friction coefficient

μ m :

minimum kinetic friction coefficient

ρ :

mass density of the shaft

ω m :

angular velocity corresponding to the minimum friction coefficient

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Acknowledgement

This work was supported by a grant from the National Research Foundation of Korea (NRF), funded by the Korean government (MEST) (NRF-2018R1D1A1B07050187).

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  1. Department of Mechanical Engineering, Hanyang University, Gyeonggi, Seoul, 15588, Korea

    Bohyeong Kim & Jintai Chung

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  1. Bohyeong Kim
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  2. Jintai Chung
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Correspondence to Jintai Chung.

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Kim, B., Chung, J. Dynamic Analysis of the Stick-Slip Phenomenon in an Automotive Water Pump. Int.J Automot. Technol. 21, 71–82 (2020). https://doi.org/10.1007/s12239-020-0008-9

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  • DOI: https://doi.org/10.1007/s12239-020-0008-9

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