本文采用三次混合样条构造钢柱截面板件横向位移场,假定板件平面外位移沿杆件纵向分布为解析三角函数,导出了轴压钢柱弹塑性局部稳定分析的样条函数法。分析时可计入初挠度,残余应力等初始缺陷,可精确考虑板件间相互约束作用。计算表明:本文方法精度高、速度快。 In this paper, the lateral displacement field of the steel column cross-section plate is constructed by using a cubic mixed spline. Assuming that the out-of-plane displacement of the plate is the analytical trigonometric function along the longitudinal direction of the rod, the spline function method for elasto-plastic local stability analysis of the axially-pressed steel column is derived. The initial defects such as initial deflection and residual stress can be included in the analysis, and the mutual restraint between plates can be accurately considered. The calculation shows that this method has high accuracy and speed.