Journal of Jilin University(Engineering and Technology Edition) ›› 2023, Vol. 53 ›› Issue (5): 1305-1314.doi: 10.13229/j.cnki.jdxbgxb.20210914

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Modified IWAN model of helical threaded connector imposed to torsional load

Jiu-yi LI1(),Feng-jun ZHOU1(),Jian-hua LIU2,Yun-hou SUN1,Jing-zhong ZHU1,Ming-kun QIU3   

  1. 1.National Defense Engineering Research Institute，Academy of Military Science of PLA，Beijing 100850，China
    2.School of Materials Science and Engineering，Southwest Jiao Tong University，Chengdu 610031，China
    3.Internal Control Audit Center of PLA General Hospital，Beijing 100850，China
  • Received:2021-09-13 Online:2023-05-01 Published:2023-05-25
  • Contact: Feng-jun ZHOU E-mail:jylee.swjtu@foxmail.com;zhoufj@cae.cn

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Abstract:

A three-dimensional finite element model of spiral thread is established in the paper， and the effectiveness of the model scheme is verified by the numerical calculations of "stress distribution on the surface of thread"， the mechanical properties of threaded structure under torsional load are numerically studied. The results show that： The thread structure experiences three states： adhesion， partial slip and macro slip in the loading and unloading stages； In the macro sliding stage of the tightening process， the torque increases due to the increase of axial force， and decreases due to the decrease of axial force in the loosening process. Based on the finite element calculation results of threaded structure， for the three-dimensional threaded structure with lifting angle under torsional load， the modified IWAN model is established by adding the overall correction of residual stiffness and torque during macro slip. The calculation results show that the modified IWAN model can accurately reproduce the relationship between torque and rotation angle in the finite element simulation results， The modified IWAN model composed of three Jenkins element models can accurately restore the dissipated energy obtained by finite element simulation.

Key words: engineering mechanics, thread structure, finite element modeling, torsional load, IWAN model

CLC Number: 

  • TH112

Fig.1

Thread section along the central axis of the bolt"

Fig.2

Sketch diagram of external thread profile"

Fig.3

Modeling platform main interface"

Fig.4

Model building process"

Fig.5

Integral finite element model of threaded connection components"

Table 1

Material parameters of each component"

部件（材料）密度/ （kg·m-3）弹性模量 /MPa泊松比
螺栓（35CrMn）7.87213 0000.286
螺母（45钢）7.87209 0000.269
板（碳钢）7.87210 0000.280

Table 2

Plastic strain behavior of bolt and nut"

螺栓（35CrMn）螺母（45钢）
应力/MPa塑性应变应力/MPa塑性应变
48004000
5000.002 824200.001 52
5800.0125000.0295
6800.0456300.056
8500.117000.095
10000.37600.25

Fig.6

Equivalent stress contour"

Fig.7

Plastic strain contour"

Table 3

Summary of finite element calculation conditions"

工况序号Cont2Cont3扭转角度/rad预紧力/kN
10.10.10.0055
20.10.10.00510
30.10.10.00520
40.10.10.00220
50.10.10.003520
60.050.10.00520
70.150.10.00520
80.10.050.00520
90.10.150.00520

Fig.8

Influence of Fp， A，μh and μb on the dynamic response of threaded connection structures"

Fig.9

Hysteresis curve of classical IWAN model"

Fig.10

Hysteresis curve incorporated ks"

Fig.11

Modified IWAN model with integral torque correction and its hysteretic curve"

Fig.12

Modified IWAN model with modified residual stiffness and its hysteretic curve"

Table 4

Parameter extraction results of Jenkins unit model with different number"

滞回曲线类型kiRi单周期耗散能/J
有限元模拟//451.34
经典IWAN//453.26
1阶修正k1=15.70R1=68.50367.04
2阶修正k1=23.09R1=52.06438.58
k2=6.90R2=16.43
3阶修正k1=26.81R1=42.03440.10
k2=13.65R2=21.60
k3=4.01R3=4.87
公共修正项ks=0.64；U=12.179 15 N?m；kp=0.55

Fig.13

Modified IWAN model hysteresis curve"

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