筒承式钢筋混凝土立筒群仓的自由振动分析  

Free vibration analysis for a set of reinforced concrete silos with tubular foundations

作　　者：龚耀清[1] 李烨君 王录民[2] 许启铿[2] 揣君[2] 

机构地区：[1]河南理工大学土木工程学院,河南焦作454000 [2]河南工业大学土木建筑学院,郑州450007

出　　处：《振动与冲击》2014年第7期1-3,17,共4页Journal of Vibration and Shock

基　　金：国家自然科学基金项目(51178164);河南省重点科技攻关计划资助项目(112102210003);河南理工大学学位论文创新基金项目(2011-M-45)

摘　　要：建立了筒承式钢筋混凝立筒群仓自由振动的分析模型,将其简化为n段竖向广义Timoshenko梁的组合体。选取各段梁中性面的挠度和横截面绕中性轴的转角为基本未知函数,利用能量原理,将筒承式钢筋混凝土立筒群仓的自由振动问题,转化为由这些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)求其数值解,得到自振频率和振型,并将数值解与相应的试验数据进行对比,以验证数值方法的有效性和精确性,从而为筒承式钢筋混凝土立筒群仓的动力特性分析研究了一种新的方法。The mechanical model for a set of reinforced concrete silos with tubular foundations was built,it was simplified into a combination of vertical generalized Timoshenko beams with n segments.The deflection of the neutral surface and the cross-sectional rotation around the neutral axis of each segment beam were chosen as the basic unknown functions.By using the energy principle,the equations of motion for the free vibration problem of a set of reinforced concrete silos with tubular foundations were then converted into a group of ordinary differential equations with these unknown functions,they were solved numerically with an ordinary differential equation （ODE ） solver.The natural frequencies and modal shapes for the set of reinforced concrete silos were obtained.The comparison between the numerical solutions and the results of the corresponding tests demonstrated the effectiveness and accuracy of the proposed numerical method.Thus,a new computational method was provided for the dynamic performance analysis of a set of reinforced concrete silos with tubular foundations.

关 键 词：钢筋混凝土立筒群仓 广义Timoshenko梁 自由振动 常微分方程求解器 动力特性 

分 类 号：TU249[建筑科学—建筑设计及理论] TU375