吊弦振动频率及幅度对疲劳寿命的影响分析
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摘要
推导吊弦的振动方程,用数值方法求解振动方程,模拟位移,横截面作用力和弯矩的动态变化规律。根据吊弦的应力时程、利用MATLAB数值计算程序分析影响吊弦疲劳寿命的因素(如振幅和频率)。数值计算结果表明:吊弦疲劳寿命的对数值随着频率和振幅的增加呈现出线性降低的趋势。
First,the vibration equation of dropper was derived.Then the dynamic change laws of displacement,cross-sectional force and bending moment were simulated by solving vibration equation with numerical method.According to the stress-time curve,the factors affecting the fatigue life of dropper(such as amplitude,frequency)were analyzed by using the MATLAB code.The results of numerical calculation show that the logarithm of the fatigue life decreases linearly with the increase of frequency and amplitude.
First,the vibration equation of dropper was derived.Then the dynamic change laws of displacement,cross-sectional force and bending moment were simulated by solving vibration equation with numerical method.According to the stress-time curve,the factors affecting the fatigue life of dropper(such as amplitude,frequency)were analyzed by using the MATLAB code.The results of numerical calculation show that the logarithm of the fatigue life decreases linearly with the increase of frequency and amplitude.
引文
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[4]毕继红,任洪鹏,陈花丽.基于雨流计数法的弹性链型柔性悬挂接触网疲劳寿命分析[J].铁道科学与工程学报,2012,9(1):61-67.BI Jihong,REN Hongpeng,CHEN Huali.The fatigue analysis on the elastic chain flexible suspension catenary system based on rain-flow counting[J].Journal of Railway Science and Engineering,2012,9(1):61-67.
[5]宋洋,刘志刚,汪宏睿,等.随机风场下高速铁路接触线风振疲劳分析[J].铁道学报,2015,37(7):20-26.SONG Yang,LIU Zhigang,WANG Hongrui,et al.Analysis on influence of stochastic wind field on wind vibration fatigue of high-speed railway catenary[J].Journal of the China Railway Society,2015,37(7):20-26.
[6]王伟,吴积钦,关金发,等.高速铁路接触网吊弦疲劳试验台[J].高速铁路技术,2014,5(3):22-25.WANG Wei,WU Jiqin,GUAN Jinfa,et al.A fatigue test rig of high-speed railway catenary dropper[J].High Speed Railway Technology,2014,5(3):22-25.
[7]Costello A G.Theory of wire rope[M].New York:Springer,1997:1-50.
[8]XING E,ZHOU C.Analysis of the bending behavior of a cable structure under microgravity[J].International Journal of Mechanical Sciences,2016,114:132-140.
[9]Nasution F P,S?vik S,Berge S.Experimental and finite element analysis of fatigue strength for 300 mm2 copper power conductor[J].Marine Structures,2014,39:225-254.
[10]Aid A,Amrouche A,Bouiadjra B B,et al.Fatigue life prediction under variable loading based on a new damage model[J].Materials&Design,2011,32(1):183-191.
[11]Pereira Hl FSG,De Jesus Al MP,Ribeiro A S,et al.Cyclic and Fatigue Behavior of the P355NL1 steel underblock loading[J].Journal of Pressure Vessel Technology,2009,131(2):021210.
[12]Santecchia E,Hamouda A M S,Musharavati F,et al.Areview on fatigue life prediction methods for metals[J].Advances in Materials Science and Engineering,2016,2016:9573524.