高层斜交网格筒结构最小势能法简化计算研究

SIMPLIFIED CALCULATION OF MINIMUM POTENTIAL ENERGY METHOD FOR HIGH-RISE DIAGRID STRUCTURE

高层斜交网格筒结构是由交叉布置的斜柱和水平环梁组成的筒体结构,斜柱主要承受轴力作用。通过等效刚度的方法,将高层斜交网格筒结构等效为各向异性板壳模型,用最小势能原理求出等效模型的位移场闭合解。研究结果表明:高层斜交网格筒等效连续化方法求解结构侧移分布精度较高,同时可以得到结构的内力分布;该类结构是弯曲型和剪切型变形的叠加;该类结构具有明显的剪力滞效应;通过等效简化方法可以将三维筒体结构转化为具有等刚度、且不改变内力分布的平面模型。提出的等效连续化简化方法可为高层斜交网格筒体结构进一步研究提供理论参考。

The high-rise diagrid tube structure is composed of diagonal columns and horizontal ring beams.The diagonal columns are mainly subjected to axial forces.The equivalent-stiffness method is used to make the high-rise diagrid tube structure to be an equivalent continuum anisotropic plate-shell model,and the displacement field closed-form solution of the equivalent model is obtained by the principle of minimum potential energy.The results show that the equivalent continuum method for high-rise diagrid tube structure is correct in calculating the structural lateral displacement,and the internal force distribution of the structure can also be obtained.This kind of structure is the superposition of bending and shear deformation.The structure has obvious shear lag effect.By the equivalent simplification method,the three-dimensional tube structure can be transformed into a plane model with equal stiffness and without changing the internal force distribution.The equivalent continuous simplification method proposed can provide a theoretical reference for the further study of high-rise diagrid tube structures.