运用考虑二阶效应的梁单元刚度阵，导出运用于任意多吊点塔式起重机水平臂起升平面外整体稳定性分析的精确递推公式，形式简单，便于应用。 By using the stiffness matrix of beam elements considering the second - order effect, an exact recursion formula for the overall stability analysis of the horizontal boom lifting plane of any multi - lift tower crane is deduced. The formula is simple and easy to be applied.