|Table of Contents|

Calculation formula of longitudinal fundamental vibration frequency for continuous rigid frame bridge with high piers based on energy method

长安大学学报(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2013年03期
Page:
48-54
Research Field:
桥梁与隧道工程
Publishing date:

Info

Title:
Calculation formula of longitudinal fundamental vibration frequency for continuous rigid frame bridge with high piers based on energy method
Author(s):
ZHOU Yong-jun12 ZHANG Xiao-dong12 SONG Yi-fan12 ZHAO Yu12
1. Engineering Research Center for Large Highway Structure Safety of the Ministry of Education, Chang’an University, Xi’an 710064, Shaanxi, China; 2. Key Laboratory of Bridge Detection Reinforcement Technology Ministry of Communications, Chang’an University, Xi’an 710064, Shaanxi, China
Keywords:
bridge engineering continuous rigid frame bridge with high pier fundamental frequency fundamental mode shape function energy method guideline for seismic design of highway bridge
PACS:
U442.55
DOI:
-
Abstract:
In order to obtain the function of fundamental vibration frequency of the rigid frame bridge, firstly, a typical rigid frame bridge with high piers was taken as an example, and 64 similar bridges were fabricated and their finite element(FE)models were set up to obtain the structural natural vibration characteristics, then, the fundamental mode shape function of this type of structure was put forward so as to deduce the theoretical fundamental frequency formula by Rayleigh method. Finally, the presented theoretical formula of fundamental frequency was validated by the engineering and the fundamental frequency formula in the current guidelines for seismic design of highway bridges was discussed therein. The results indicate that the basic oscillation of the rigid frame bridge with high piers consists of the longitudinal vibration of piers, and that the fundamental frequency calculated by the recommended method has an error of 5% compared with the FE result, and the frequency calculation in the guidelines can not be applied to such irregular bridges as the rigid frame bridges. 2 tabs, 2 figs, 15 refs.

References:

[1] 黄永玉,赵永刚,赵伟东.基于Lagrange运动方程的悬臂梁的固有频率分析[J].青海大学学报:自然科学版,2011,29(1):12-15.HUANG Yong-yu,ZHAO Yong-gang,ZHAO Wei-dong.Analysis on cantilever beam’s natural frequency based on Lagrange motion equation[J].Journal of Qinghai University:Nature Science,2011,29(1):12-15.(in Chinese)
[2]张怀静,潘旦光.变截面连续梁动力特性的半解析解法[J].北京科技大学学报,2008,30(6):590-593,619.ZHANG Huai-jing,PAN Dan-guang.Semi-analytic solution to dynamic characteristics of non-uniform continuous beams[J].Journal of University of Science and Technology Beijing,2008,30(6):590-593,619.(in Chinese)
[3]周勇军,贺拴海,宋一凡,等.弹性地基上连续梁桥顺桥向地震振动分析[J].长安大学学报:自然科学版,2008,28(2):49-52.ZHOU Yong-jun,HE Shuan-hai,SONG Yi-fan,et al.Longitudinal seismic vibration of continuous beam bridge on elastic foundation[J].Journal of Chang’an University:Natural Science Edition,2008,28(2):49-52.(in Chinese)
[4]吴辉琴,王赞芝,涂 辉,等.变截面连续梁动力特性的差分解法[J].广西大学学报:自然科学版,2010,35(1):101-104.WU Hui-qin,WANG Zan-zhi,TU Hui,et al.Finite-difference methods for calculating dynamic properties of variational continuous beams[J].Journal of Guangxi University:Natural Science Edition,2010,35(1):101-104.(in Chinese)
[5]程翔云.关于三跨简支悬索桥振动频率方程的讨论[J].重庆交通学院学报,2001,20(2):22-24.CHENG Xiang-yun.Comments on the vibrational frequency equation of three-span simple supported suspension bridge[J].Journal of Chongqing Jiaotong Institute,2001,20(2):22-24.(in Chinese)
[6]周建民,吴定俊,李 奇,等.墩梁体系自振特性变化规律能量法分析[J].土木工程学报,2006,39(1):60-64.ZHOU Jian-min,WU Ding-jun,LI qi,et al.Variation of free vibration characteristic analysis for pier-beam system by energy method[J].China Civil Engineering Journal,2006,39(1):60-64.(in Chinese)
[7]JTG D60—2004,公路桥涵设计通用规范[S].JTG D60—2004,General specifications for design of highway bridges and culverts[S].(in Chinese)
[8]宋一凡.公路桥梁动力学[M].北京:人民交通出版社,2000.SONG Yi-fan.Kinetics of highway bridges[M].Beijing:China Communications Press,2000.(in Chinese)
[9]周勇军,贺拴海,宋一凡,等.基于锤击法的弯连续刚构模型桥动力试验[J].振动、测试与诊断,2007,27(3):212-215.ZHOU Yong-jun,HE Shuan-hai,SONG Yi-fan.Dynamic test of curved continuous rigid frame Bbridge model using hammer excitation method[J].Journal of Vibration,Measurement & Diagnosis,2007,27(3):212-215.(in Chinese)
[10]杨 昀,周列茅,周勇军.弯桥与高墩[M].北京:人民交通出版社,2011.YANG Yun,ZHOU Lie-mao,ZHOU Yong-jun.Curved bridge with high pier[M].Beijing:China Communications Press,2011.(in Chinese)
[11]张晓栋.高墩大跨预应力混凝土梁桥振动频率实用计算方法[D].西安:长安大学,2011.ZHANG Xiao-dong.Practical method of fundamental frequency for larhge span prestressed concrete girder bridge with high piers[D].Xi’an:Chang’an University,2011.(in Chinese)
[12]尹海军,李子青,郭 琦,等.大跨高墩连续刚构桥动力特性研究[J].西安建筑科技大学学报:自然科学版,2010,42(5):663-668.YIN Hai-jun,LI Zi-qing,GUO qi,et al.Study on the dynamic characteristics of long span continuous rigid frame bridge with high wall piers[J].Journal of Xi’an University of Architecture & Technology:Natural Science Edition,2010,42(5):663-668.(in Chinese)
[13]曹国俊,何 波,袁 峰,等.某连续刚构桥动态特性分析[J].华中科技大学学报:城市科学版,2010,27(2):71-73.CAO Guo-jun,HE Bo,YUAn Feng,et al.Dynamic characteristics analysis of a continuous rigid frame bridge[J].Journal of Huazhong University of Science and Technology:Urban Science Edition,2010,27(2):71-73.(in Chinese)
[14]于金良,杨东升.高墩大跨连续刚构桥梁长期健康监测研究[J].筑路机械与施工机械化,2012,29(8):28-30.YU Jin-liang,YANG Dong-shen.Study on healthy monitoring of high-pier and long-span continuous rigid frame bridge[J].Road Machinery & Construction Mechanization,2012,29(8):28-30.(in Chinese)
[15]JTG/T B02—01—2008,公路桥梁抗震设计细则 [S].JTG/T B02—01—2008,Guidelines for seismic design of highway bridges[S].(in Chinese)

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Last Update: 2013-05-30