田帅,李欣,杨建伟,刘乐强,张育轩.复杂交变载荷条件下微动运行状态[J].表面技术,2023,52(1):112-120.
TIAN Shuai,LI Xin,YANG Jian-wei,LIU Le-qiang,ZHANG Yu-xuan.Fretting Running State under Complex Alternating Loads[J].Surface Technology,2023,52(1):112-120
复杂交变载荷条件下微动运行状态
Fretting Running State under Complex Alternating Loads
  
DOI:10.16490/j.cnki.issn.1001-3660.2023.01.012
中文关键词:  微动  多轴交变载荷  动力学  接触状态  有限元仿真
英文关键词:fretting  complex alternating load  dynamics  contact state  finite element simulation
基金项目:国家自然科学基金青年基金项目(51905028);北京市教育委员会科技计划一般项目(KM202110016002);北京建筑大学金字塔人才培养工程(JDYC20200323)
作者单位
田帅 北京建筑大学 机电与车辆工程学院,北京 100044 
李欣 北京建筑大学 机电与车辆工程学院,北京 100044 
杨建伟 北京建筑大学 机电与车辆工程学院,北京 100044 
刘乐强 北京建筑大学 机电与车辆工程学院,北京 100044 
张育轩 北京建筑大学 机电与车辆工程学院,北京 100044 
AuthorInstitution
TIAN Shuai School of Mechanical-electronic and Vehicle Engineering, Beijing University of Civil Engineering and Architecture, Beijing 100044, China 
LI Xin School of Mechanical-electronic and Vehicle Engineering, Beijing University of Civil Engineering and Architecture, Beijing 100044, China 
YANG Jian-wei School of Mechanical-electronic and Vehicle Engineering, Beijing University of Civil Engineering and Architecture, Beijing 100044, China 
LIU Le-qiang School of Mechanical-electronic and Vehicle Engineering, Beijing University of Civil Engineering and Architecture, Beijing 100044, China 
ZHANG Yu-xuan School of Mechanical-electronic and Vehicle Engineering, Beijing University of Civil Engineering and Architecture, Beijing 100044, China 
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中文摘要:
      目的 研究典型的加载参数对复杂交变载荷作用下微动运行状态的影响。方法 利用ABAQUS建立了二维(平面应变)有限元模型,模拟微动垫和试件在循环法向载荷和轴向载荷下的接触状态,对不同加载条件下的微动运行状态进行分析,提出一种Q-P曲线的分析方法,再结合双轴微动疲劳试验验证其适用性。结果 比例加载条件下,在微动垫夹具刚度较小时的Ft-D的曲线为直线,而微动垫夹具刚度较大时的Ft-D曲线表现为不规则的四边形,这些条件下的Q-P曲线均为线性函数,并且随着微动垫夹具刚度增加,曲线的斜率增大;非比例加载条件下,Ft-D曲线的形状不再是四边形,形状较为复杂,此时Q-P曲线为椭圆函数。随着微动垫夹具刚度的增大,椭圆的短轴增加。当相位差不为90°时,椭圆两半轴与坐标系不平行,椭圆发生旋转;特别地,相位差为90°时,Q-P曲线为标准椭圆函数。当Q-P曲线与直线QμP相交时,由于滑移的产生,椭圆曲线将发生变化。结论 在复杂交变载荷作用下, 不同的加载参数(法向载荷、轴向载荷、微动垫夹具刚度等)或其相互间的组合会影响Q-P曲线的大小和位置,提出的Q-P曲线方法可以为分析复杂交变载荷条件下的运行状态研究提供手段,为进一步地讨论微动疲劳或微动磨损行为提供指导。
英文摘要:
      The present common-used fretting fatigue models simplify the actual loading conditions of engineering cases and ignore the effect of variable normal load. In this paper, the contact behavior of the fretting fatigue model subjected to variable normal load and axial load was investigated. The running state of fretting under alternating load was studied. A Q-P curve analysis method was proposed. The contact state under typical loading conditions was discussed, and the influence of different loading parameters on the fretting running state was revealed. It shows that the proposed Q-P curves analysis method can provide guidance for the study of the fretting running state under actual engineering working conditions. A two-dimensional (plane strain) model was established by using the finite element software ABAQUS to simulate the contact state of the fretting pad and the specimen under cyclic normal load and axial load. The model was divided into 3 main parts:the fretting pad, the specimen and the transverse spring. The normal load was applied to the upper edge of the fretting pad and the axial load was applied to the right edge of the specimen. The main purpose of this simulation was to study the effect of variable normal load and phase difference on the contact behavior, so a bulk axial load with stress ratio R= ‒1, σB,a=100 MPa and cyclic normal load Pm=225.2 N/mm and Pa=77 N/mm (which corresponds to maximum contact stress P0 from 140 MPa to 200 MPa). Three phase difference φ=0°, 45°, 90° and two spring stiffness kf =2 084 N/mm, 3 770 N/mm (corresponding to the Young’s modulus of the spring Es= 1 990 MPa, 3 600 MPa, respectively) were used to evaluate the effect of multi-axial loading on the micro-action fatigue operating condition, with the reaction force at the left edge of the output transverse spring equal to the tangential force. A series of fretting fatigue test corresponding to the simulation was performed on a biaxial fretting fatigue testing system The biaxial fretting fatigue testing system has two hydraulic actuators and three load cells, through which the loading of variable normal loads P, bulk load FB and the measurement of tangential forces Q could be implemented. A series of tests were performed using loading conditions (FB,a=10 kN; FB,m=0 kN; Pa=1.54 kN; Pm= ‒4.5 kN; φ=0°, 45°, 90°) and the loading loops with different phase differences were recorded to evaluate the rationality of the Q-P curve analysis method. For proportional loading conditions, the Ft-D curve is a straight line for a small pad fixture stiffness, the curve changes to a regular parallelogram for a larger stiffness. In these conditions, the Q-P curves are linear functions, and the slope of the curve increases as the increase of spring stiffness. For non-proportional loading conditions, the shape of the Ft-D curve is no longer a parallelogram and becomes very peculiar. The Q-P curves obey the ellipse function. The shape of the ellipse is determined by pad fixture stiffness, normal and bulk loading parameters, the phase difference etc. The proposed Q-P curves analysis method can provide a guidance for the study of the fretting fatigue running state, and also provides a method for further discussion of fretting fatigue or fretting wear behavior.
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