用转移矩阵法计算高耸塔架和桅杆  

Computation of Tall Towers and Masts by Transfer Matrix Method

作　　者：欧阳可庆[1] 

机构地区：[1]同济大学

出　　处：《建筑结构学报》1994年第3期11-16,共6页Journal of Building Structures

摘　　要：本文提出用转移矩阵法来计算塔架和桅杆的内力、位移、稳定和振动。将结构顶部和底部的节点力和位移的关系通过转移矩阵来表达，并引用边界条件求解，最后得到各塔层的内力和位移。对一个横截面边数为ｎ、尾数为ｍ的塔架其基本未知量为６ｎ个，与层数无关，而常用的矩阵位移法的基本未知量则为３ｍｎ个，两者相差ｍ／２倍。因此采用本文方法时计算存储量可大大减少，从而可在小容量的计算机或计算器上进行。This paper presents the transfer matrix method for computing the internal forces, displacements,stability and vibration of towers and masts. The relationship of the nodal forces and displacements at the top and bottom of the structure can be expressed by the transfer matrix. After introducing the boundary conditions, the rigidity equation is solved and then the internal forces and displacements of the whole structure are obtained. For an m storeyed tower whose cross-section consists of n sides, the number of fundamental unknowns is 6n, which is independent of the number of stories,though the conventional matrix displacement method involves 3mn unknowns. Hence the use of the method presented in this paper will greatly reduce the computational storage.

关 键 词：塔架 桅杆 转移矩阵法 计算 

分 类 号：TU323.01[建筑科学—结构工程]