立筒群仓强迫振动分析  

Forced Vibration Analysis of Silo Groups

作　　者：许启铿[1] 孙景辉[1] 王录民[1] 张世杰[1] 

机构地区：[1]河南工业大学土木建筑学院,河南郑州450001

出　　处：《工程抗震与加固改造》2015年第4期151-154,共4页Earthquake Resistant Engineering and Retrofitting

基　　金：国家自然基金项目(51178164);河南省重点科技攻关计划资助项目(12102210003);郑州市科技计划-普通科技攻关项目(20140586)

摘　　要：针对地震作用下立筒群仓整体动力反应,采用以哈密顿原理为基础的能量法,建立立筒群仓模型在振动台正弦式位移作用下的强迫振动运动方程,将其简化为竖向Timoshenko梁的组合体,选取中性面的挠度和横截面绕中性轴的转角为基本未知函数,将立筒群仓模型在振动台正弦式位移作用下的强迫振动问题转化求解为由中性面的挠度和横截面绕中性轴的转角这两个未知函数组成的常微分方程组。然后,利用常微分方程求解器(ODE solver),得到立筒群仓模型的位移和剪切角,并根据计算结果指导试验设计及测点布置,为立筒群仓模型的地震模拟振动台试验奠定基础,同时为立筒群仓的在强迫振动作用下的动力特性分析提供了一种新的方法。According to the overall dynamic response of silo groups under the earthquake,based on the Hamilton＇ s principle of energy method,the motion equations of silo groups model under the effect of vibration table sine displacement are established,the silo groups are simplified as a vertical generalized Timoshenko combination beam. Choosing deflection of the neutral and the corner of cross section around the neutral axis as the basic unknown functions,the problem of silo groups model＇s forced vibration under the effect of vibration table sine displacement can be converted to solve the ordinary differential equation whose unknown functions are neutral surface deflection and cross section around the neutral axis. Then through the ordinary differential equation solver（ ODE solver）,the displacement and shear angle silo groups modle are obtained,the experimental design and measuring point layout are guided by the results. It lays the foundation of the simulated earthquake shaking table test of silo groups model,and can provide a new method for silo groups＇ dynamic characteristics analysis under the effect of forced vibration.

关 键 词：立筒群仓 强迫振动 哈密顿原理 常微分方程求解器 

分 类 号：TU311.3[建筑科学—结构工程]