简支钢梁自振频率对预应力敏感性试验研究
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摘要
为了研究简支钢梁基频与预应力值之间的关系,基于FFT(Fast Fourier Transformation,即快速傅氏变换)和HHT(Hilbert-Huang Transform,即希尔伯特黄变换)两种分析方法,以预应力简支钢梁为研究对象,通过不同预应力值下钢梁基频试验研究,对比了两种分析方法的适用性。研究结果表明:传统的力学理论不能很好的解释预应力梁基频与预应力值之间的关系,相比于FFT分析方法,HHT方法能够更好的捕捉到梁体的瞬时频率,梁体基频会随着预应力值的增大而呈现增长的趋势,瞬时频率的震荡幅度也会随之增大。
In order to study the relationship between the fundamental frequency of simple steel beam and prestressed value,two analysis methods based on FFT(Fast Fourier Transformation)and HHT(Hilbert-Huang Transform),with prestressed simply-supported steel beam as the research object,by the research on the steel beam under different prestress value base frequency,the applicability of the two analysis methods are compared.The results show that the traditional mechanics theory cannot well explain the relationship between the fundamental frequency and prestress value,compared with FFT analysis method.The HHT method can better capture the instantaneous frequency of the beam body.The fundamental frequency will increase with the increase of prestress value,and the instantaneous frequency of the oscillation amplitude will increase too.
In order to study the relationship between the fundamental frequency of simple steel beam and prestressed value,two analysis methods based on FFT(Fast Fourier Transformation)and HHT(Hilbert-Huang Transform),with prestressed simply-supported steel beam as the research object,by the research on the steel beam under different prestress value base frequency,the applicability of the two analysis methods are compared.The results show that the traditional mechanics theory cannot well explain the relationship between the fundamental frequency and prestress value,compared with FFT analysis method.The HHT method can better capture the instantaneous frequency of the beam body.The fundamental frequency will increase with the increase of prestress value,and the instantaneous frequency of the oscillation amplitude will increase too.
引文
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[2]黄颖,房贞政.预应力混凝土简支梁静力及动力性能有限元分析研究[J].武汉理工大学学报:交通科学与工程版,2013,37(1):123-126.
[3]李士元.客运专线32 m双线整孔简支箱梁张拉应力试验研究[J].石家庄铁道大学学报:自然科学版,2014,27(1):24-30.
[4]Classen Martin,Dressen Tobias.Experimental Investigations on Prestressed Concrete Beams with Openings[J].ACI Structural Journal,2015,112(2):221-232.
[5]王勇.既有大准铁路16 m简支T梁横向加固研究及应用[J].石家庄铁道大学学报:自然科学版,2015,28(1):54-57.
[6]Luning Shi,Haoxiang He,Weiming Yan,et al.Prestress Force Identification for Externally Prestressed Concrete Beam Based on Frequency Equation and Measured Frequencies[J].Structural and Mechanics,2014(2):1-13.
[7]Saiidi,Douglas M,Feng B.Prestress force effect on vibration frequency of concrete bridges[J].Mathematical Problems in Engineering,1994,120(7):2233-2241.
[8]张耀庭,汪霞利,李瑞鸽.全预应力梁振动频率的理论分析与试验研究[J].工程力学,2007,24(8):116-120.
[9]何涛,张巍,吴植安.基于动静载试验数据的预应力混凝土梁模型修正方法试验研究[J].公路交通科技,2015,32(12):75-80.
[10]张耀庭,李宏健.全预应力砼梁动力性能试验研究[J].工程力学,2008,25(S1):71-75.
[11]王慧东,马其森.韩江大桥(48+80+80+88+48)m道岔连续梁车桥耦合动力响应分析[J].石家庄铁道大学学报:自然科学版,2015,28(1):12-16.
[12]刘寒冰,王龙林,谭国金,等.预应力对体外预应力简支钢梁自振频率的影响[J].吉林大学学报:工学版,2013,43(1):37-39.