筒承式钢筋混凝土立筒群仓的自由振动分析

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振动与冲击 ›› 2014, Vol. 33 ›› Issue (7) : 1-3.

论文

筒承式钢筋混凝土立筒群仓的自由振动分析

龚耀清1，李烨君1，王录民2，许启铿2，揣君2

作者信息 +

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

Yaoqing Gong1 Yejun Li1 Lumin Wang2 Qikeng Xu2 Jun Chuai2

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文章历史 +

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。

Abstract

The computational model of a set of reinforced concrete silos with tubular foundations is built, 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 of the beam are chosen as basic unknown functions. By applying an energy principle, the motion equations for the free vibration problem of a set of reinforced concrete silos with tubular foundations are then translated into a group of ordinary differential equations composed by the unknown functions, which can be solved by an ordinary differential equation (ODE) solver. Thereupon, the natural frequencies and mode shapes of the set of reinforced concrete silos are obtained. The comparison between the numerical solutions and the results of the corresponding tests demonstrates the efficiency and precision of the analysis. Thusly, a new computational method for the analysis of dynamic performances of a set of reinforced concrete silos with tubular foundations is provided.

导出引用

龚耀清;李烨君;王录民;许启铿;揣君. 筒承式钢筋混凝土立筒群仓的自由振动分析[J]. 振动与冲击, 2014, 33(7): 1-3

Yaoqing Gong Yejun Li Lumin Wang Qikeng Xu Jun Chuai. Free vibration analysis of a set of reinforced concrete silos with tubular foundations[J]. Journal of Vibration and Shock, 2014, 33(7): 1-3