期刊论文

中文

湖南城市学院学报(自然科学版)

1672-7304

2007

16

1

1-5

10.3969/j.issn.1672-7304.2007.01.001

本校为第一机构

虽然分析平面框架二次效应的方法早在20世纪80年代就已提出,但其中许多工作过分复杂或简单,值得改进.采用共旋坐标法准确地导出了平面梁单元发生大转动小应变时的单元切线刚度矩阵,并利用该单元切线刚度矩阵的列式和Newton-Raphson迭代法开发了1个FORTRAN程序NPFSAP,从而获得了高层框架结构二阶效应的高精度数值解,由此发现高层建筑的二次效应与水平荷载的关系不明显,但建筑物刚度越小,竖向荷载越大,建筑物层数越多,二次效应越明显.提出了1个高层框架中柱二次效应的计算公式,为工程设计人员提供了准确计算框架弯矩的办法.

Although methods for the second-order effects of plane frames were developed in the 1980s, much of this early work was surprisingly sophisticated or simplified and, it is worth re-visiting. Starting from the geometric and physical relations of the plane frame, this work has successfully applied co-rotational procedure to derive non-linear tangent stiffness matrix of plane beam element in large but small-strained rotational displacement. A non-linear finite element iteration procedure is thus established by the Newton-Raphson technique, and a corresponding Fortran program NPFSAP has been tumed ...