多跨体外预应力连续梁动力特性研究-模态解析解  

Dynamic characteristics of multi-span continuous beam with external tendons-modal analytical solution

作　　者：石鲁宁 闫维明[1] 何浩祥[1] 陈彦江[1] 

机构地区：[1]北京工业大学工程抗震与结构诊治北京市重点实验室,北京100124

出　　处：《振动与冲击》2014年第16期50-55,67,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金(51108009;50978009);高等学校博士学科点专项科研基金(20111103120022)

摘　　要：为研究多跨体外预应力连续梁动力特性解析表达,基于Bernoulli-Euler梁理论建立任意预应力筋布置形式的连续梁分析模型。在Ayaho Miyamoto研究基础上,建立预应力变化量与位移函数关系,将连续梁视为满足弯矩、转角条件的多个单跨梁,采用分段联立方法建立多跨体外预应力连续梁振动方程组,获得频率方程解析解。以两、三跨体外预应力连续梁为例,通过求解频率方程获得自振频率,与有限元及试验比较表明结果吻合较好。用该方法可较准确求得多跨体外预应力连续梁自振频率、振型等动力参数。In order to study the analytic expression of dynamic characteristics of a continuous beam with external tendons,an analysis model of the beam with any form of prestressed tendon layout was established by using the BernoulliEuler beam theory. Based on the formula presented by Ayaho Miyamoto,the relationship between prestressing force and displacement was derived and the continuous beam was treated as multiple single beams satisfing the moment and angle conditions. The vibration equation of the beam was built by using piecewise simultaneous method and the frequency equation was achieved. Taking two-span and three-span continuous beams with external tendons as examples,the frequency equation was solved and natural frequencies were obtained. Comparing the results by the formulas with those of FEA and existing tests,it is found they are in good agreement. The method can get the dynamic parameters of continuous beam with external tendons accurately.

关 键 词：多跨体外预应力连续梁 自振频率 振动方程 频率方程 动力特性 

分 类 号：U448.35[建筑科学—桥梁与隧道工程]