高层建筑结构中正交曲线-直线交叉梁系内力分析的研究

本文首先采用余能原理推导曲梁的转角位移方程式,求出曲梁的单元刚度矩阵解析表达式。然后根据结构的几何特征推导梁单元的杆端位移坐标转换矩阵,并引用所给正交曲线-直线交叉染系的等效结点荷载列阵,进而提出了一个求解此类结构的精确的有限元计算模型。文末采用本文编制的程序作了实例计算,数值分析结果表明:当使曲梁退化为直梁时,所求得的内力和位移值与相同条件下正交直染系的计算结果接近一致。

A Study on the Analysis of Internal Forces for Orthogonal System With Curved-straight Cross-beam in Multistory Building Structures

In this paper the slope-deflection equation for the curved beam is derived using the complementary energy theorems , first. Then, on the basis of this equation ,an analytical expression of stiffness matrix for elementary curved beam is obtained. According to the geometric characteristics of the structure , a coordinate transformation matrix for the beam-end forces and displacements of the elementary beam is derived. And the column matrix of equivalent nodal loading for the orthogonal system with curved-straight cross-beam is cited. As a result of all the above, an accurate finite element analyzing model is presented for this type of structure. At the end of this paper, an example is illustrated using the computer program developed. The numerical results show that, when the curved beams in the structure are deteriorated into straight ones,the values of forces and displacements calculated herefrom are in close agreement with those calculated from orthogonal straight-beam system under the same conditions.