直线型预应力混凝土等直梁自由振动分析

英文篇名：Dynamic influence analysis of natural vibration frequency for straight line concrete beam under prestressed force
中文刊名：山西建筑
英文刊名：Shanxi Architecture
作者：袁斌斌 ; 杨敬林
英文作者：YUAN Bin-bin1 YANG Jing-lin2*(1.Chancheng District of Foshan City Traffic Construction Investment Co. ; Ltd ; Foshan 528000 ; China ; 2.College of Engineering of Hunan Agriculture University ; Changsha 410128 ; China)
中文关键词：直线型 ; 预应力 ; 混凝土梁 ; Garlerkin法 ; 自振频率
英文关键词：straight line ; prestressed force ; concrete beam ; Garlerkin method ; natural vibration frequency
出版日期：2012-10-20
机构：佛山市禅城区交通建设投资有限公司;湖南农业大学工学院;
年：2012
期：30
出版单位：山西建筑

摘要

通过建立直线型预应力混凝土等直梁强迫振动的运动微分方程,分析了等直梁在预应力作用下的横向振动问题,将运动微分方程解耦后得到直梁在预应力作用下自振频率的精确解,再应用Garlerkin法计算出直线型预应力等直梁在预应力作用下的一阶自振频率近似解,并与其精确解进行了比较分析,以期为类似预应力混凝土梁的结构设计提供参考。
The differential equations of a straight line prestressed concrete beam under forced vibration are established.The transversal vibration behaviors of the prestressed concrete beam are analyzed.The exact solution of natural vibration frequency of the beam subjected to prestressing force and the dynamic behaviors of the beam are obtained by decoupling the differential equations.A steps the approximate solutions of natural vibration frequency under prestressed force are obtained through Garlerkin method,and the comparative analysis with the exact solution are also gived,with a view to provide certain reference for the structural design of similar prestress concrete beam.

引文

[1]范立础.预应力混凝土连续梁[M].北京:人民交通出版社,1988.
    [2]徐栋,项海帆.体外预应力混凝土桥梁非线性分析[J].同济大学学报,2000,28(4):402-406.
    [3]吕中荣,罗绍湘,刘济科.预应力对预应力梁振动的影响[J].中山大学学报,2006,45(2):119-121.
    [4]楼梦麟,洪婷婷.体外预应力梁动力特性的分析方法[J].同济大学学报,2006,34(10):1284-1288.
    [5]Ayaho Miyamoto.Behavior of Prestressed Beam Strengthened with External Tendons[J].Journal of Structural Engneering,2000,126(9):1033-1044.
    [6]刘宏伟,张伟,庄惠平.预加力对梁的动力影响分析[J].黑龙江科技学院学报,2002,12(3):37-39.
    [7]熊学玉,王寿生.体外预应力梁振动特性的分析与研究[J].地震工程与工程振动,2005,25(2):55-61.
    [8]楼梦麟,洪婷婷.预应力梁横向振动分析的模态摄动方法[J].工程力学,2006,23(1):107-111.
    [9]杨茀康,李家宝.结构力学[M].北京:高等教育出版社,1998.
    [10]宋一凡.公路桥梁动力学[M].北京:人民交通出版社,2000.