Journal of Jilin University(Engineering and Technology Edition) ›› 2023, Vol. 53 ›› Issue (8): 2219-2226.doi: 10.13229/j.cnki.jdxbgxb.20211164

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Reliability sensitivity analysis of bolt pre-tightening connection

Xian-zhen HUANG1,2(),Kai-bo SUN1,Xiao-gang LUAN1,Bing HU1   

  1. 1.School of Mechanical Engineering and Automation，Northeastern University，Shenyang 110819，China
    2.Key Laboratory of Vibration and Control of Aero-Propulsion Systems Ministry of Education of China，Northeastern University，Shenyang 110819，China
  • Received:2021-11-08 Online:2023-08-01 Published:2023-08-21

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Abstract:

In bolt connection， excessive pre-tightening force will make bolts fail in case of accidental overload. Traditional method of bolt pre-tightening analysis considers that the parameters are determined， but the parameters are random in actual working conditions， which causes larger analysis errors. To solve this problem， considering the influence of random factors， a finite element analysis model of bolt pre-tightening failure behavior is proposed in this paper， the reliability analysis is carried out by judging whether the stress value at the thread of bolt exceeds the allowable stress value， and the reliability sensitivity analysis is calculated to evaluate the influence of various parameters on the failure phenomenon in bolt connection. The results show that the change of bolt diameter has the greatest influence on the phenomenon of bolt static strength failure， and the Poisson's ratio of material has the second influence on it. The reliability of bolt connection will increase with the increase of bolt tooth angle， screw pitch and Poisson's ratio of material， and decrease with the increase of bolt diameter， material density and elastic modulus.

Key words: machanical design, bolt connection, statics, reliability, sensitivity

CLC Number: 

  • TH131.3

Fig.1

Mesh generation of hexahedron connected by bolts"

Fig.2

Schematic diagram of bolt connection Pic title"

Table 1

Structure and material parameters of bolts and nuts"

参数螺栓螺母
公称直径/mm1010
牙型角/（°）6060
螺距/mm1.51.5
弹性模量/GPa210210
泊松比0.30.3
密度/（kg·m-2）78507850

Fig.3

Static analysis of bolt pre-tightening"

Fig.4

Experimental device"

Table 2

Experimental and simulated strain values"

夹紧力/N仿真值组别平均值
1234
503.182.873.353.833.233.32
1006.346.235.276.716.486.17
1509.5210.549.5810.069.8910.02
20012.5913.4111.5012.4512.9312.57
25015.8414.8515.3316.2916.7715.81
30018.9919.6418.2018.6817.7218.56
35022.1422.9923.4720.1222.0422.16
40025.2424.9126.3524.4323.9524.91
45028.5529.2228.7426.8325.3927.55
50031.5230.1831.1432.5734.4932.10

Table 3

Experimental and simulated stress values"

夹紧力/N有限元应力值/MPa各项夹紧力下对应的实验应力值/MPa
500.6340.664
1001.2551.234
1501.9042.004
2002.5232.514
2503.1713.162
3003.7973.712
3504.4194.432
4005.0664.982
4505.5935.510
5006.3526.420

Fig.5

Kriging reliability analysis flow chart"

Table 4

Table of bearing parameters random variables"

螺栓参数数值分布变异系数
螺栓大径D/mm10正态分布0.002
螺栓的牙型角α/（°）60正态分布0.005
螺栓的螺距p/mm1.5正态分布0.005
弹性模量Em/GPa210正态分布0.05
密度ρ/（kg·m-3）7850正态分布0.05
泊松比μ00.3正态分布0.05

Fig.6

Comparison between function values and finite element calculation values"

Fig.7

Sensitivity analysis"

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