高层建筑筒体结构三维静力分析的改进条元法

Improved finite strip method of three-dimensional static analysis of tall building framed tube and tube-in-tube structure

提出了改进条元法,即根据柱壳理论构造了柱壳曲条,结合柱壳曲条和平壳条元对任意平面形状高层筒体结构承受弯曲和扭转作用进行三维静力分析。该方法所用位移基函数能描述剪弯型杆件的变形曲线,克服了传统有限条元法选用纯三角函数作为基函数导致基底剪应力为零的缺点。运用该方法所涉及的未知量少,未知量数目只与划分条元数和所选基函数项数有关,而与结构的层数无关。层数越多,改进条元法与有限元法相比未知量减少越明显。研究结果表明,改进条元法计算结果与试验结果及空间有限元结果较接近,可用于高层建筑筒体结构三维静力分析。

An improved finite strip method was developed, and a column shell curvilinear strip was constructed. The method combines column shell curvilinear strip with the slab plate to carry out three-dimensional static analysis of tall building framed tube and tube-in-tube structures with arbitrary peripheral shape subjected to bending and torsion. The selected basic function of the displacement functions correctly describes shear-moment deformation curves and eliminates the defect that the stresses at the section of base are always zero because the classic finite strip employs a trigonometric function as the basic function . The number of unknown quantities is less , and only depends on the number of subdivided finite strips and the terms of the selected basic function and independent of the number of storeys , that is , the more is the number of stories , the more evident is the excellent feature in the finite strip method. The calculated results show that the method proposed in this paper has advantages of reliable precision and versatility and less computation.