连拱拱桥振动基频近似计算的∑法

英文篇名：∑-method to Calculate Fundamental Vibration Frequency of Arcade Bridge
中文刊名：兰州交通大学学报
英文刊名：Lanzhou Jiaotong University
作者：丁南宏 ; 林丽霞 ; 钱永久
英文作者：Ding Nanhong~(1 ; 2) ; Lin Lixia~2 ; Qian Yongjiu~1 (1.School of Civil Engineering ; Southwest Jiaotong University ; Chengdu 610031 ; China ; 2.School of Civil Engineering ; Lanzhou Jiaotong University ; Lanzhou 730070 ; China)
中文关键词：拱桥 ; 频率 ; 连拱 ; 基频 ; 抗推刚度 ; 相干系数 ; 弹性中心法
英文关键词：arch bridge ; frequency ; arcade ; fundamental frequency ; thrust stiffness ; mutual interaction coefficient ; elastic centre method
出版日期：2005-03-30
机构：西南交通大学土木工程学院,兰州交通大学土木工程学院,西南交通大学土木工程学院四川成都610031兰州交通大学土木工程学院,甘肃兰州730070 ,甘肃兰州730070 ,四川成都610031
年：2005
期：01
出版单位：兰州交通大学学报

摘要

借鉴连拱静力分析中的∑法,由功的互等定理和弹性中心法推导了拱和墩的静力变形曲线,接着以 2 孔连拱为例,推导了其自振基频的近似计算公式,并讨论了采用不同质量分布、不同抗推刚度对计算结果的影响.按本文计算结果与有限元法计算结果及实测结果比较吻合,因此本文提供的连拱拱桥基频计算近似公式,具有一定的工程实用价值.本方法可推广到多孔连拱拱桥自振频率的计算.
Borrowing the idea of ∑method which is one of the methods to make static analysis of arcade, static deformation curves of arch and pier are derived according to the reciprocal theorem of work and the (elastic) centre method. Then taking a 2spanmultiplearch bridge for instance,an approximate formula to calculate the lowest frequency of arcade when free vibration occurs is derived.The influence of mass distribution and thrust stiffness on calculated results are also discussed.The results calculated by the formula in this paper coincide with the results calculated by FEM (finite element method),and those are also in accordance with the results of the experiment well.The formula to calculate the arcade’s fundamental frequency presented can be applied in actual engineering,and also can be applied to nspanmultiplearch bridge (n>2) .

引文

[1]　VolterraE,MorellJ.LowestNaturalFrequency ofE lasticHingedArch[J].J ofAcousticSociety ofAmeri ca,1961,33(12):16411649.
    [2]　KolousekV.工程结构动力学[M].刘光栋译.北京:人民交通出版社,1980.
    [3]　李国豪.桥梁结构稳定与振动[M].北京:中国铁道出版社,2002.
    [4]　胡人礼.普通桥梁结构振动[M].北京:中国铁道出版社,1988.
    [5]　李廉锟.结构力学(下册)[M].北京:中国铁道出版社,2002.
    [6]　姚玲森.桥梁工程[M].北京:人民交通出版社,1998.
    [7]　王国鼎.拱桥连拱计算[M].第2版.北京:人民交通出版社,1998.
    [8]　杨高中.桥梁学术论文集[M].北京:人民交通出版社,2001.
    [9]　周竟欧,朱伯钦,许哲明.结构力学(下册)[M].上海:同济大学出版社,1994.
    [10]　胡人礼.桥梁力学[M].北京:中国铁道出版社,1999.
    [11]　M.帕兹.结构动力学理论与计算[M].李裕澈,刘勇生译.北京:地震出版社,1993.
    [12]　孙训方.材料力学(上册)[M].第2版.北京:高等教育出版社,1992.
    [13]　丁南宏.连续拱桥自振特性分析计算模型选取的探讨[J].兰州铁道学院学报,2001,20(6):4043.
    [14]　周世军,孙迎秋,丁南宏.兰州小峡水电站坝址下游拱桥静动载试验报告[R].兰州:兰州交通大学土木工程学院,2001.