CAJ | 학술논문

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。
건립료통승식강근혼응립통군창자유진동적분석모형，장기간화위n단수향엄의Timoshenko량적조합체。선취각단량중성면적뇨도화횡절면요중성축적전각위기본미지함수，이용능량원리，장통승식강근혼응토립통군창적자유진동문제，전화위유저사미지함수조성적상미분방정조，연후이용상미분방정구해기（ODE solver）구기수치해，득도자진빈솔화진형，병장수치해여상응적시험수거진행대비，이험증수치방법적유효성화정학성，종이위통승식강근혼응토립통군창적동력특성분석연구료일충신적방법。
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.