考虑滑移效应的体外预应力钢-混凝土组合梁自振频率分析
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摘要
为了研究滑移与体外预应力对钢-混凝土组合简支梁自振频率的影响,提出了适用组合梁自振频率计算的静力折减刚度法和动力刚度修正系数法.以一根跨径为5 m的钢-混凝土组合简支试验梁为研究对象,分别采用静力折减刚度法、动力刚度修正系数法及换算截面法计算梁的自振频率,并将计算值与试验实测值进行对比.结果表明,采用动力刚度修正系数法计算得到的体外预应力组合梁的自振频率更接近于实测值,采用静力折减刚度法和换算截面法计算得到的梁的自振频率与实测值之间存在较大误差.当体外预应力值为100 k N时,换算截面法和静力折减刚度法与实测值的误差分别为19.3%和7.9%,动力刚度修正系数法误差则仅为2.9%.
To study the influence of the slip and the external prestressed tendons on the natural frequencies of the simply-supported steel-concrete composite beam,the static reduced stiffness method(SRSM) and the dynamic stiffness modified coefficient method(DSMCM) were proposed.Taking a simply-supported steel-concrete composite experimental beam with the span of 5 m as a research object,the natural frequencies of the beam were calculated by the proposed SRSM,the DSMCMand the transformed section method(TSM),respectively.The calculation results were compared with the dynamic test results.The results showthat the natural frequencies of the steel-concrete composite beam with the external prestressed tendons calculated by the proposed DSMCMare closer to the dynamic test results,while those predicted by the SRSMand the TSMexhibit big errors.When the external prestressing is 100 k N,the errors of the TSMand the SRSMare 19.3% and 7.9%,respectively,while that of the DSMCMis only 2.9%.
To study the influence of the slip and the external prestressed tendons on the natural frequencies of the simply-supported steel-concrete composite beam,the static reduced stiffness method(SRSM) and the dynamic stiffness modified coefficient method(DSMCM) were proposed.Taking a simply-supported steel-concrete composite experimental beam with the span of 5 m as a research object,the natural frequencies of the beam were calculated by the proposed SRSM,the DSMCMand the transformed section method(TSM),respectively.The calculation results were compared with the dynamic test results.The results showthat the natural frequencies of the steel-concrete composite beam with the external prestressed tendons calculated by the proposed DSMCMare closer to the dynamic test results,while those predicted by the SRSMand the TSMexhibit big errors.When the external prestressing is 100 k N,the errors of the TSMand the SRSMare 19.3% and 7.9%,respectively,while that of the DSMCMis only 2.9%.
引文
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[2]聂建国,沈聚敏,余志武.考虑滑移效应的钢-混凝土组合梁变形计算的折减刚度法[J].土木工程学报,1995,28(6):11-17.Nie Jianguo,Shen Jumin,Yu Zhiw u.A reduced rigidity method for calculating deformation of composite steel-concrete beams[J].China Civil Engineering Journal,1995,28(6):11-17.(in Chinese)
[3]王景全,吕志涛,刘钊.部分剪力连接钢-混凝土组合梁变形计算的组合系数法[J].东南大学学报(自然科学版),2005,35(S1):5-10.DOI:10.3321/j.issn:1001-0505.2005.z1.003.Wang Jingquan,LüZhitao,Liu Zhao.Consistency factor method for calculating deformation of composite steel-concrete girders w ith partial shear connection[J].Journal of Southeast University(Natural Science Edition),2005,35(S1):5-10.DOI:10.3321/j.issn:1001-0505.2005.z1.003.(in Chinese)
[4]侯忠明,夏禾,张彦玲.栓钉连接件抗剪刚度对钢-混凝土结合梁自振特性影响研究[J].中国铁道科学,2012,33(6):24-29.DOI:10.3969/j.issn.1001-4632.2012.06.05.Hou Zhongming,Xia He,Zhang Yanling.The influence of the shear stiffness of stud connectors on the natural vibration characteristics of steel-concrete composite beams[J].China Railway Science,2012,33(6):24-29.DOI:10.3969/j.issn.1001-4632.2012.06.05.(in Chinese)
[5]Berczyński S,Wróblewski T.Experimental verification of natural vibration models of steel-concrete composite beams[J].Journal of Vibration&Control,2010,16(9):2057-2081.DOI:10.1177/1077546309350552.
[6]张书兵,王景全,李明,等.考虑界面滑移效应的组合梁自振频率计算的修正折减刚度法[J].土木工程学报,2015,48(12):41-49.Zhang Shubing,Wang Jingquan,Li M ing,et al.A modified stiffness reduction method for calculating the natural frequencies of composite beams considering the effect of interfacial slippage[J].China Civil Engineering Journal,2015,48(12):41-49.(in Chinese)
[7]侯忠明,夏禾,王元清,等.钢-混凝土组合梁动力折减系数研究[J].振动与冲击,2015,34(4):74-81.DOI:10.13465/j.cnki.jvs.2015.04.014.Hou Zhongming,Xia He,Wang Yuanqing,et al.Dynamic reduction coefficients for a steel-concrete composite beam[J].Journal of Vibration and Shock,2015,34(4):74-81.DOI:10.13465/j.cnki.jvs.2015.04.014.(in Chinese)
[8]侯忠明.钢-混凝土结合梁桥动力性能及损伤识别的理论分析与模型试验研究[D].北京:北京交通大学土木工程学院,2013.
[9]熊辉霞,张耀庭.体外预应力混凝土梁自振频率分析[J].工程力学,2008,25(S2):173-176.Xiong Huixia,Zhang Yaoting.Analysis of natural frequency of externally prestressed concrete beam[J].Engineering Mechanics,2008,25(S2):173-176.(in Chinese)
[10]王常雷.预应力钢-混凝土组合梁的动力特性研究[D].上海:同济大学土木工程学院,2008.
[11]Biscontin G,Morassi A,Wendel P.Vibrations of steel-concrete composite beams[J].Journal of Vibration and Control,2000,6(5):691-714.DOI:10.1177/107754630000600503.
[12]郑尚敏,马磊,万水.体外预应力对波形钢腹板箱梁自振频率的影响分析[J].东南大学学报(自然科学版),2014,44(1):140-144.DOI:10.3969/j.issn.1001-0505.2014.01.025.Zheng Shangmin,M a Lei,Wan Shui.Analysis on effects of externally prestressed tendons on vibration frequency of box girder w ith corrugated steel w ebs[J].Journal of Southeast University(Natural Science Edition),2014,44(1):140-144.DOI:10.3969/j.issn.1001-0505.2014.01.025.(in Chinese)