扭转荷载下螺旋形螺纹连接件的IWAN改进模型

doi:10.13229/j.cnki.jdxbgxb.20210914

摘要/Abstract

摘要：

建立了螺旋形螺纹三维有限元模型，通过螺纹表面应力分布等数值计算验证模型方案的有效性，并对扭转载荷下螺纹结构的力学特性开展数值研究。结果表明：螺纹结构在加、卸载阶段均经历了黏着、部分滑移和宏观滑移3种状态；在拧紧过程的宏观滑移阶段由于轴向力增大，扭矩呈上升趋势，在拧松过程中由于轴向力减小，扭矩呈下降趋势。在螺纹结构有限元计算结果的基础上，针对扭转载荷作用下带升角的三维螺纹结构，通过增添宏观滑移时的残余刚度和扭矩整体修正量，建立了修正的IWAN模型。计算结果表明：修正的IWAN模型能较准确地重现有限元模拟结果中扭矩与转角的关系，且3个Jenkins单元模型组成的修正IWAN模型即可足够精确地还原有限元模拟得到的耗散能。

关键词: 工程力学, 螺纹结构, 有限元建模, 扭转载荷, IWAN模型

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

中图分类号:

TH112

李九一,周丰峻,刘建华,孙云厚,朱精忠,邱明坤. 扭转荷载下螺旋形螺纹连接件的IWAN改进模型[J]. 吉林大学学报(工学版), 2023, 53(5): 1305-1314.

Jiu-yi LI,Feng-jun ZHOU,Jian-hua LIU,Yun-hou SUN,Jing-zhong ZHU,Ming-kun QIU. Modified IWAN model of helical threaded connector imposed to torsional load[J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(5): 1305-1314.

图/表 17

图1

图2

图3

图4

图5

表1

表2

图6

图7

表3

图8

图9

图10

图11

图12

表4

不同数量Jenkins单元模型参数提取结果"

滞回曲线类型	k_i	R_i	单周期耗散能/J
有限元模拟	/	/	451.34
经典IWAN	/	/	453.26
1阶修正	k₁=15.70	R₁=68.50	367.04
2阶修正	k₁=23.09	R₁=52.06	438.58
2阶修正	k₂=6.90	R₂=16.43	438.58
3阶修正	k₁=26.81	R₁=42.03	440.10
	k₂=13.65	R₂=21.60
	k₃=4.01	R₃=4.87
公共修正项	k_s=0.64；U=12.179 15 N $?$ m；k_p=0.55

表4

图13

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部件（材料）	密度/ （kg·m^-3）	弹性模量 /MPa	泊松比
螺栓（35CrMn）	7.87	213 000	0.286
螺母（45钢）	7.87	209 000	0.269
板（碳钢）	7.87	210 000	0.280

螺栓（35CrMn）		螺母（45钢）
应力/MPa	塑性应变	应力/MPa	塑性应变
480	0	400	0
500	0.002 82	420	0.001 52
580	0.012	500	0.0295
680	0.045	630	0.056
850	0.11	700	0.095
1000	0.3	760	0.25