Journal of Jilin University(Engineering and Technology Edition) ›› 2023, Vol. 53 ›› Issue (7): 1911-1919.doi: 10.13229/j.cnki.jdxbgxb.20211023

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Uncertainty quantification of normal contact stiffness of bolt joint surface

Ling LI(),Kai ZHAO,Hong LIN(),Jing-jing WANG,An-jiang CAI   

  1. School of Mechanical and Electrical Engineering，Xi'an University of Architecture and Technology，Xi'an 710055，China
  • Received:2021-10-27 Online:2023-07-01 Published:2023-07-20
  • Contact: Hong LIN E-mail:liling@xauat.edu.cn;lh759@163.com

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Abstract:

There are many uncertainties in the contact of bolted joints. It is difficult to determine the reasonable interval of contact stiffness in existing models. Therefore， the range of contact stiffness of joint surface with uncertain micromorphology is obtained by using interval Estimation theory. Firstly， based on fractal theory to characterize the contour height of the micro-convex body of the combined surface， the structural function method and interval algorithm are used to solve the uncertainty interval of the fractal parameters of the combined surface. Then， the surface topography parameters are connected in parallel with the fractal parameters by moment spectroscopy. The Chebyshev envelope function is introduced to calculate the surface morphology parameters interval under the influence of uncertainty. Finally， the uncertainty interval of surface morphology parameters is introduced into the statistical model to establish the contact stiffness model of joint surface considering the uncertainty of surface morphology parameters. The range of joint surface contact stiffness is obtained， and the influence of surface morphology parameters on the joint surface contact stiffness is explored. The results indicate that the model can accurately predict the range of changes in the surface contact stiffness of bolted connections， which can provide guidance for the design of the joint surface.

Key words: friction mechanics, uncertainty, joint surface, contact stiffness, surface topography parameters, Chebyshev envelope function

CLC Number: 

  • TH131.3

Fig.1

Sample and measurement location"

Table 1

Fractal parameter values under the samemeasured surface"

实验次数DG/10-7 mm
11.39086.6440
21.39718.5597
31.39219.1981
41.450323.635
51.472825.739
61.39176.9936
71.45258.9967
81.463540.223
91.507030.278
101.495951.1981

Fig.2

Surface contour height under different fractalparameters"

Fig.3

Interval influence of fractal parameters on surface topography parameters"

Table 2

Comparison table of comprehensive influenceof fractal parameters on joint surface parameters"

区间区间半径区间中点
［R］/μm［2.8028， 6.7898］2.05334.7963
［η］/μm -2［0.1378， 0.1649］0.013910.1514
［σs ］/μm［2.5352， 11.8701］4.80757.2027

Fig.4

Effect of contact gap on stiffness"

Fig.5

Influence of R on tangential contact stiffness"

Fig.6

Influence of η on tangential contact stiffness"

Fig.7

Influence of σs on tangential contact stiffness"

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