六边形开洞筒体受竖向集中荷载作用的连续化分析

根据结构连续化方法，采用完备的函数形式表示六边形核筒悬挂建筑结构中简体在竖向集中力作用下的位移函数，并推导出核筒中的正应力和剪应力公式．在此基础上，得出核简各部分的应变能．而后，根据最小势能原理，建立竖向集中力作用下核筒的应力场微分方程组，并确定了相应的边界条件，从而求解方程组得到了核筒的竖向位移函数方程．由此，得到了核筒整体位移及应力、应变和弯矩等．文中提出的连续化方法可以为工程实践计算提供一定的参考．

Static Behavior of the Hexagonal- Core - Tube Suspended Building Structure Subjected to a Vertical Force Analyzed by the Continuous Method

By the continuous method, the self- contained displacement shape functions are constructed, and then the formulae of normal stress and shear stress in the core tube subjected to vertical forces are derived. On the basis of this, formulae of the strain energy in each part of the core tube are obtained. Then, the stress differential functions and their boundary conditions are determined by the principle of minimum potential energy. The vertical displacement value of the core tube could be found by solving the differential functions, so that the stresses, the strains and the bending moments of the designated point of the core tube are obtained. The continuous method is of great reference value in engineering.