【摘要】 以Maple软件为平台,提出了利用求解微分方程组对柔性墩台进行内力计算的方法。此方法先将桥梁各墩台分别视为一整体考虑,根据各节点处的协调变形关系和力的平衡条件建立墩台各计算单元的微分关系。再通过将整联墩台视为一整体考虑,根据混凝土的收缩、徐变以及温度影响力在各节点处产生的横向位移确定各墩台之间的微分关系。最后通过联立微分方程组并求解,得到各墩台内力变化的函数解析式。与目前广泛使用的"集成刚度法"相比,本文方法计算步骤简捷方便,计算结果精确可靠。更多还原

【Abstract】 Using Maple software as the platform,a method is proposed to calculate the internal force of flexible pier by solving the differential equation set.In this method,first,each bridge pier is considered as a whole,and the differential relationship of each calculation unit of the pier is established according to the coordinating deformation of each node and the force equilibrium condition.Then,all the bridge piers are considered as a whole,and the differential relationships among the piers are established according to the lateral displacement produced by shrinkage,the creep of concrete and the temperature influence on each node.Finally,by simultaneously solving the differential equation set,the internal force functional analytical formula of each pier was obtained.Compared to the currently used integrated stiffness method,the proposed calculation method has the advantages of simple and convenient,and the result is more precise and reliable.更多还原