灌浆拉索索力的试验研究
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摘要
为研究索长、边界条件和附加质量等对灌浆拉索索力计算的影响规律,以灌浆吊杆和体外索等为工程背景,采用?15.2高强度钢绞线模拟拉索,开展24个裸索、24个外套PVC管拉索以及24个灌浆拉索模型的索力试验,并推导带均布附加质量的拉索索力计算公式;分析边界条件、灌浆附加质量以及拉索长度等参数对索力的影响规律,比较计算公式的误差和适用性。结果表明:试验拉索索力计算中,边界条件可以假定为铰接,需要考虑外套套管和灌浆等附加质量的影响;灌浆拉索索力计算误差大都在15.0%以内且随附加质量线密度的增加而逐渐增大。研究结果可以为灌浆拉索索力计算提供依据。
The purpose of this paper is to study the influence of cable length, boundary condition and additional mass on the calculation of the grouting cable force, and provide the basis for cable force calculation. With the suspenders of arch-bridge and external prestressed cables being selected as the engineering background, 24 bare prestressed cable test models, 24 prestressed cable test models with outer PVC tube but without grouting inside as well as 24 grouting cable test models were made with ?15.2 high strength steel strands, and the cable force tests were firstly carried out. Secondly, the cable force calculation formula with uniform added mass was derived. Finally, the influence of the boundary conditions, cable length and added mass of grouting on cable force was analyzed, and the calculation error and applicability of different formulas were also analyzed and compared. The results show that the hinged boundary conditions meet the requirements of cable force calculation, and the added mass of outer tube and mortar should be taken into account. The errors of most of the calculation values of grouted cable force are smaller than 15.0% by using the derived formula, and increase with the increase of the line density of added mass. The results can provide a basis for the calculation of grouted cable force.
The purpose of this paper is to study the influence of cable length, boundary condition and additional mass on the calculation of the grouting cable force, and provide the basis for cable force calculation. With the suspenders of arch-bridge and external prestressed cables being selected as the engineering background, 24 bare prestressed cable test models, 24 prestressed cable test models with outer PVC tube but without grouting inside as well as 24 grouting cable test models were made with ?15.2 high strength steel strands, and the cable force tests were firstly carried out. Secondly, the cable force calculation formula with uniform added mass was derived. Finally, the influence of the boundary conditions, cable length and added mass of grouting on cable force was analyzed, and the calculation error and applicability of different formulas were also analyzed and compared. The results show that the hinged boundary conditions meet the requirements of cable force calculation, and the added mass of outer tube and mortar should be taken into account. The errors of most of the calculation values of grouted cable force are smaller than 15.0% by using the derived formula, and increase with the increase of the line density of added mass. The results can provide a basis for the calculation of grouted cable force.
引文
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[16] 廖敬波,唐光武,孟利波,等.固结拉索的一种近似频率计算公式[J].振动与冲击,2013,32(6):149-151.LIAO Jingbo,TANG Guangwu,MENG Libo,et al.Approximate Frequency Calculation Method for Clamped Cables[J].Journal of Vibration and Shock,2013,32(6):149-151.
[17] DAN D H,CHEN Y Y,YAN X F.Determination of Cable Force Based on the Corrected Numerical Solution of Cable Vibration Frequency Equations[J].Structural Engineering & Mechanics,2014,50(1):45-46.
[18] 林友勤.利用振动法测量预应力体外索的索力[J].地震工程与工程振动,2007,27(3) :64-69.LIN Youqin.Measurement of Cable Tension of External Prestressed Cable by Using Vibration Method[J].Journal of Earthquake Engineering and Engineering Vibration,2007,27(3) :64-69.
[19] ABDEL-JABER H,GLISIC B.A Method for the On-site Determination of Prestressing Forces Using Long-gauge Fiber Optic Strain Sensors[J].Smart Materials and Structures,2014,23(7):628-634.
[20] 晏班夫,陈泽楚,朱子纲.基于非接触摄影测量的拉索索力测试[J].湖南大学学报(自然科学版),2015,42(11):105-110.YAN Banfu,CHEN Zechu,ZHU Zigang.Cable Force Identification Based on Non-contact Photogrammetry System[J].Journal of Hunan University (Natural Sciences),2015,42(11):105-110.
[2] 何旭辉,杨贤康,朱伟.钢桁梁斜拉桥成桥索力优化的实用算法[J].铁道学报,2014,36(6):99-106.HE Xuhui,YANG Xiankang,ZHU Wei.Practical Algorithm for Optimization of Cable Forces in Completion of Steel Truss Girder Cable-stayed Bridges[J].Journal of the China Railway Society,2014,36(6):99-106.
[3] 陈宝春.钢管混凝土拱桥发展综述[J].桥梁建设,1997(2):8-13.CHEN Baochun.A Summarized Account of Developments in Concrete-filled Steel Tube Arch Bridge[J].Bridge Construction,1997(2):8-13.
[4] 宗周红,Bijaya Jaishi,林友勤,等.西宁北川河钢管混凝土拱桥的理论和实验模态分析[J].铁道学报,2003,25(4):89-96.ZONG Zhouhong,Bijaya Jaishi,LIN Youqin,et al.Experimental and Analytical Modal Analysis of a CFT Arch Bridge over Xining Beichuan River [J].Journal of the China Railway Society,2003,25(4):89-96.
[5] CHAN K T,LEUNG T P,WONG W O.Free Vibration of Simply Supported Beam Partially Loaded with Distributed Mass[J].Journal of Sound and Vibration,1996,191(4):590-597.
[6] ZUI H,SHINKE T,NAMITA Y.Practical Formulas for Estimation of Cable Tension by Vibration Method[J].Journal of Structural Engineering,1996,122(6):651-656.
[7] 张劲泉,李承昌,郑晓华,等.桥梁拉索与吊索[M].北京:人民交通出版社,2013:7-14,102-103.
[8] 任淑琰.斜拉桥拉索参数振动研究[D].上海:同济大学,2007.
[9] 刘文峰,应怀樵,柳春图.考虑刚度及边界条件的索力精确求解[J].振动与冲击,2003,23(4):12-14.LIU Wenfeng,YING Huaiqiao,LIU Chuntu.Precise Solution of Cable Tensile Force in Consideration of Cable Stiffness and Its Boundary Conditions[J].Journal of Vibration and Shock,2003,23(4):12-14.
[10] REN W X,CHEN G,HU W H.Empirical Formulas to Estimate Cable Tension by Cable Fundamental Frequency[J].Structural Engineering and Mechanics,2005,20(3):363-380.
[11] GEIER R,de ROECK G,FLESCH R.Accurate Cable Force Determination Using Ambient Vibration Measurements[J].Structure and Infrastructure Engineering,2006,2(1):43-52.
[12] 方志,汪建群,颜江平.基于频率法的拉索及吊杆张力测试[J].振动与冲击,2007,26(9):78-82.FANG Zhi,WANG Jianqun,YAN Jiangping.The Tension Measurement of Cables and Suspenders with Frequency Method[J].Journal of Vibration and Shock,2007,26(9):78-82.
[13] 林立,李胡生,瞿志豪,等.考虑刚度及固支边界条件的实用索力求解方法与试验研究[J].振动与冲击,2010,29(7):221-224.LIN Li,LI Husheng,QU Zhihao,et al.Practical Solution Method and Experimental Study on Cable Tension Considering Cable Stiffness and Fixed Boundary Condition[J].Journal of Vibration and Shock,2010,29(7):221-224.
[14] 李新生,项贻强.基于挠度曲线振型函数的系杆拱桥柔性吊杆索力测量公式[J].工程力学,2010,27(8):174-178.LI Xinsheng,XIANG Yiqiang.Tension Measurement Formula of Flexible Hanger Rods in Tied-rods Arch Bridges Based on Vibration Shape Function of Deflection Curve[J].Engineering Mechanics,2010,27(8):174-178.
[15] 孙永明,孙航,任远.频率法计算匀质竖直拉索索力的实用公式[J].工程力学,2013,30(4):211-218.SUN Yongming,SUN Hang,REN Yuan.Practical Formulas to Calculate Tensions of Vertical Cable with Uniform Properties by Frequency Method.[J].Engineering Mechanics,2013,30(4):211-218.
[16] 廖敬波,唐光武,孟利波,等.固结拉索的一种近似频率计算公式[J].振动与冲击,2013,32(6):149-151.LIAO Jingbo,TANG Guangwu,MENG Libo,et al.Approximate Frequency Calculation Method for Clamped Cables[J].Journal of Vibration and Shock,2013,32(6):149-151.
[17] DAN D H,CHEN Y Y,YAN X F.Determination of Cable Force Based on the Corrected Numerical Solution of Cable Vibration Frequency Equations[J].Structural Engineering & Mechanics,2014,50(1):45-46.
[18] 林友勤.利用振动法测量预应力体外索的索力[J].地震工程与工程振动,2007,27(3) :64-69.LIN Youqin.Measurement of Cable Tension of External Prestressed Cable by Using Vibration Method[J].Journal of Earthquake Engineering and Engineering Vibration,2007,27(3) :64-69.
[19] ABDEL-JABER H,GLISIC B.A Method for the On-site Determination of Prestressing Forces Using Long-gauge Fiber Optic Strain Sensors[J].Smart Materials and Structures,2014,23(7):628-634.
[20] 晏班夫,陈泽楚,朱子纲.基于非接触摄影测量的拉索索力测试[J].湖南大学学报(自然科学版),2015,42(11):105-110.YAN Banfu,CHEN Zechu,ZHU Zigang.Cable Force Identification Based on Non-contact Photogrammetry System[J].Journal of Hunan University (Natural Sciences),2015,42(11):105-110.