吉林大学学报(工学版) ›› 2015, Vol. 45 ›› Issue (1): 121-126.doi: 10.13229/j.cnki.jdxbgxb201501018

• Orignal Article • Previous Articles     Next Articles

Calculation and analysis of flexible pier internal force based on method of differential equation set

Wang Wei1,2,Wang Lei1   

  1. 1.College of Construction Engineering, Jilin University, Changchun 130026,China;
    2.School of Prospecting and Surveying, Changchun Institute of Technology, Changchun 130012,China
  • Received:2013-09-24 Online:2015-02-01 Published:2015-02-01

Abstract: Using Maple software as the platform, a method is proposed to calculate the internal force of flexible pier by solving the differential equation set. In this method, first, each bridge pier is considered as a whole, and the differential relationship of each calculation unit of the pier is established according to the coordinating deformation of each node and the force equilibrium condition. Then, all the bridge piers are considered as a whole, and the differential relationships among the piers are established according to the lateral displacement produced by shrinkage, the creep of concrete and the temperature influence on each node. Finally, by simultaneously solving the differential equation set, the internal force functional analytical formula of each pier was obtained. Compared to the currently used integrated stiffness method, the proposed calculation method has the advantages of simple and convenient, and the result is more precise and reliable.

Key words: road engineering, differential equations set, flexible pier, internal force calculation

CLC Number: 

  • U443.21
[1] 王晓谋. 基础工程[M]. 北京:人民交通出版社,2003.
[2] 袁伦一. 连续桥面简支梁桥墩台计算实例[M]. 北京:人民交通出版社,1995.
[3] 孙训方,方孝淑. 材料力学[M]. 5版.北京:高等教育出版社,2000.
[4] 朱彦鹏,张安疆. m法求解桩身内力与变形的幂级数解[J]. 甘肃工业大学学报,1997,23(3):77-82.
Zhu Yan-peng, Zhang An-jiang. Power series solution of internal force and deformation of piles with m-method[J]. Journal of Gansu University of Technology, 1997, 23(3):77-82.
[5] 张耀辉,王新敏. 弹性支座对铁路简支梁桥墩台内力的影响研究[J]. 石家庄铁道学院学报,1999,12(3):80-83.
Zhang Yao-hui, Wang Xin-min. Study on the internal force of the railway bridge pie with flexible support simple beam[J]. Journal of Shijiazhuang and Railway Institute, 1999, 12(3):80-83.
[6] 郗蔚东. 墩台桩(柱)基础空间计算的有限元法[J]. 桥梁建设,1984(2):31-46.
Xi Wei-dong.The finite element method of space calculation in pier and abutment pile foundation[J]. Bridge Construction,1984(2):31-46.
[7] 吴宜凤,刘文会. 二维动态规划法在桩柱式墩台活载内力计算中的应用[J]. 吉林交通科技,1998(4):24-26.
Wu Yi-feng,Liu Wen-hui.Application of two dimension dynamic planning on live load calculation of pile-columnpier[J].Jilin Science and Technology of Communications,1998(4):24-26.
[8] 马缤辉,赵明华. 考虑水平力作用的弹性地基梁位移及内力解析解[J]. 西北地震学报,2011,33:94-98.
Ma Bin-hui, Zhao Ming-hua. An analytical solution of beam on elastic foundation subjected to horizontal force[J].Northwestern Seismological Journal, 2011, 33:94-98.
[9] 周绍烈. 梁桥墩台设计水平力的计算方法[J].西南交通大学学报,1993(5):30-36.
Zhou Shao-lie. A general method for analyzing the horizontal loading acting on girder bridges[J]. Journal of Southwest Jiaotong University, 1993(5):30-36.
[10] 徐玉中,周德富. 梁桥墩台水平力位移传导计算法[J].公路,1995(3):9-13.
Xu Yu-zhong,Zhou De-fu.The calculation method of horizontal force displacement conduction of girder bridge pier[J].Highway,1995(3):9-13.
[11] 张磊. 水平荷载作用下单桩性状研究[D]. 杭州:浙江大学,2011.
Zhang Lei.Study on behavior of single pile under lateral loading[D]. Hangzhou: Zhejiang University, 2011.
[12] 李靖森,胡达和. 柔性墩台水平荷载的分配方法(修改《公路桥涵设计规范》专题报告) [R].北京:北京建筑工程学院,1981.
[13] 赖琼华.桩的P-S曲线计算方法[J]. 岩石力学与工程学报,2003,22(3):509-513.
Lai Qiong-hua. Calculation procedure for P-S curve of piles[J]. Chinese Journal of Rock Mechanics and Engineering, 2003,22(3):509-513.
[14] 赵明华,邹新军,罗松南. 水平荷载下桩侧土体位移分布的弹性解及其工程应用[J]. 土木工程学报,2005,38(10):108-111.
Zhao Ming-hua, Zou Xin-jun, Luo Song-nan. Analytical solution of the elastic displacement distribution in the surrounding soil of laterally loaded piles and its application[J]. China Civil Engineering Journal, 2005, 38(10): 108-111.
[15] 周洪波,杨敏. 水平受荷桩的耦合算法[J]. 岩土工程学报,2005,27(4):432-436.
Zhou Hong-bo, Yang Min. A coupling analytical solution of piles subjected lateral loads[J]. Chinese Journal of Geotechnical Engineering, 2005, 27(4):432-436.
[16] 范秋雁,许胜才. 一类双排桩支护结构内力计算[J]. 岩石力学与工程学报,2012,31(增刊1):3152-3158.
Fan Qiu-yan, Xu Sheng-cai. Calculation for a type of retaining structure with double-row piles[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(Suppl.1):3152-3158.
[17] 陈宝银. 桩基础梁桥柔性墩纵向水平力分析[J]. 武汉工业学院学报,2012,31(4):69-72.
Chen Bao-yin. Calculation of the longitudinal level force at flexible pier of Bridge of pile of foundation[J]. Journal of Wuhan Polytechnic University, 2012,31(4):69-72.
[18] Poulos H G. Behavior of laterally loaded piles:I-single piles[J].ASCE Journal of the Soil Mechanics and Foundations Division, 1971, 97(5): 711-731.
[19] Poulos H G. Behaviour of laterally-loaded piles:II - pile groups[J].ASCE Journal of the Soil Mechanics and Foundations Division, 1971, 97(5): 732-751.
[20] Pak R Y S. On the flexure of a partially embedded bar under lateal loads[J]. Journal of Applied Mechanics, 1989, 56(2):263-269.
[1] LI Yi,LIU Li-ping,SUN Li-jun. Prediction model on rutting equivalent temperature for asphalt pavement at different depth [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1703-1711.
[2] ZANG Guo-shuai, SUN Li-jun. Method based on inertial point for setting depth to rigid layer [J]. 吉林大学学报(工学版), 2018, 48(4): 1037-1044.
[3] NIAN Teng-fei, LI Ping, LIN Mei. Micro-morphology and gray entropy analysis of asphalt characteristics functional groups and rheological parameters under freeze-thaw cycles [J]. 吉林大学学报(工学版), 2018, 48(4): 1045-1054.
[4] GONG Ya-feng, SHEN Yang-fan, TAN Guo-jin, HAN Chun-peng, HE Yu-long. Unconfined compressive strength of fiber soil with different porosity [J]. 吉林大学学报(工学版), 2018, 48(3): 712-719.
[5] CHENG Yong-chun, BI Hai-peng, MA Gui-rong, GONG Ya-feng, TIAN Zhen-hong, LYU Ze-hua, XU Zhi-shu. Pavement performance of nano materials-basalt fiber compound modified asphalt binder [J]. 吉林大学学报(工学版), 2018, 48(2): 460-465.
[6] ZHANG Yang-peng, WEI Hai-bin, JIA Jiang-kun, CHEN Zhao. Numerical evaluation on application of roadbed with composite cold resistance layer inseasonal frozen area [J]. 吉林大学学报(工学版), 2018, 48(1): 121-126.
[7] JI Wen-yu, LI Wang-wang, GUO Min-long, WANG Jue. Experimentation and calculation methods of prestressed RPC-NC composite beam deflection [J]. 吉林大学学报(工学版), 2018, 48(1): 129-136.
[8] MA Ye, NI Ying-sheng, XU Dong, DIAO Bo. External prestressed strengthening based on analysis of spatial grid model [J]. 吉林大学学报(工学版), 2018, 48(1): 137-147.
[9] LUO Rong, ZENG Zhe, ZHANG De-run, FENG Guang-le, DONG Hua-jun. Moisture stability evaluation of asphalt mixture based on film pressure model of Wilhelmy plate method [J]. 吉林大学学报(工学版), 2017, 47(6): 1753-1759.
[10] NI Ying-sheng, MA Ye, XU Dong, LI Jin-kai. Space mesh analysis method for shear lag effect of cable-stayed bridge with corrugated steel webs [J]. 吉林大学学报(工学版), 2017, 47(5): 1453-1464.
[11] ZHENG Chuan-feng, MA Zhuang, GUO Xue-dong, ZHANG Ting, LYU Dan, Qin Yong. Coupling effect of the macro and micro characteristics of mineral powder on the low-temperature performance of asphalt mortar [J]. 吉林大学学报(工学版), 2017, 47(5): 1465-1471.
[12] YU Tian-lai, ZHENG Bin-shuang, LI Hai-sheng, TANG Ze-rui, ZHAO Yun-peng. Analyses of defects and causes of steel-plastic compound reinforced retaining wall [J]. 吉林大学学报(工学版), 2017, 47(4): 1082-1093.
[13] CAI Yang, FU Wei, TAO Ze-feng, CHEN Kang-wei. Influence analysis of geotextile on reducing traffic induced reflective cracking using extended finite element model [J]. 吉林大学学报(工学版), 2017, 47(3): 765-770.
[14] LIU Han-bing, ZHANG Hu-zhu, WANG Jing. Effect of dehydration on shear strength properties of compacted clayey soil [J]. 吉林大学学报(工学版), 2017, 47(2): 446-451.
[15] CUI Ya-nan, HAN Ji-wei, FENG Lei, LI Jia-di, WANG Le. Microstructure of asphalt under salt freezing cycles [J]. 吉林大学学报(工学版), 2017, 47(2): 452-458.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!