Research Papers

Determination of Motion Equation of Rivet Head During Shaft Riveting Assembly Process for Wheel Hub Bearing Units

[+] Author and Article Information
Jie Qu

Associate Professor
School of Mechanical & Automotive Engineering,
South China University of Technology, Guangzhou 510640, China
e-mail: qujie@scut.edu.cn

Guojie Zhang

School of Mechanical & Automotive Engineering,
South China University of Technology, Guangzhou 510640, China
e-mail: infinitezgj@163.com

1Corresponding author.

Contributed by the Manufacturing Engineering Division of ASME for publication in the JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING. Manuscript received February 25, 2015; final manuscript received September 9, 2015; published online October 27, 2015. Editor: Y. Lawrence Yao.

J. Manuf. Sci. Eng 138(4), 041006 (Oct 27, 2015) (9 pages) Paper No: MANU-15-1092; doi: 10.1115/1.4031588 History: Received February 25, 2015; Revised September 09, 2015

The shaft riveting assembly process is a very effective method for assembling lightweight, integrated, and highly reliable automobile wheel hub bearings. This paper proposes a method to determine the motion equation of a rivet head during the shaft riveting process based on a theoretical derivation, on-site test results, and structural equipment parameters. Based on the structure of the riveting machine, the motion equation of the rivet head is deduced through the combined application of a rectangular spatial coordinate system and the Euler angle method. In addition, the axial displacement and axial riveting force of the spindle were measured during the shaft riveting process using a newly developed on-site testing system. The axial velocity of the rivet head is determined using the spline function method based on the measured axial displacement–time curve. Subsequently, the motion equation of velocity and three-axis angular velocity of the rivet head can be obtained based on the deduced motion equation of the rivet head, test data, and structural equipment parameters. Finally, the motion equation of the rivet head is validated by simulating the shaft riveting process using the finite-element (FE) method, and then comparing the simulated axial riveting force and final geometric shape of the riveted hub shaft with the experimental ones. The result shows that the method proposed in this paper lays the foundation for the numerical simulation and optimization of the shaft riveting technology for a wheel hub bearing unit.

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Fig. 1

Principle of shaft riveting assembly

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Fig. 2

Structural schematic diagram of riveting machine

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Fig. 3

Analysis of point M motion due to engagement of external and internal gear

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Fig. 4

Schematic diagram of spatial movement of rivet head

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Fig. 5

Relationship between precession angle φ and revolution angle ψ of external gear

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Fig. 6

Data testing system and testing site during shaft riveting process: (a) schematic diagram of on-site testing system and (b) testing site of shaft riveting process

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Fig. 7

Experimental axial displacement–time and axial load–time curves

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Fig. 8

(a) Smoothed axial displacement–time curves and (b) calculated axial velocity–time curves

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Fig. 9

Upper end point velocities of rivet's central axis–time curves during riveting process: (a) upper end point velocities of rivet's central axis at deforming phase, (b) upper end point velocities of rivet's central axis at reshaping phase, and (c) upper end point velocities of rivet's central axis at tool retracting phase

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Fig. 10

Rotational angular velocities of rivet head–time curves around X and Y axes

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Fig. 11

Simulated axial riveting force–time curve

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Fig. 12

Comparison of simulated (a) and experimental (b) ultimate deformed shapes of wheel hub shaft




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