用WKB渐近法研究变截面弹性杆的稳定性

摘要

采用WKB渐近法研究了变截面弹性杆的稳定 性，推导出了其在轴压作用下发生弹性失稳时计算临界载荷的渐近公式，并通过实例计算验 证了该渐近公式计算精度很高。%The stability of elastic rod with varying cross section is studied by using WKB asymptotic method. The asymptotic formula for calculating critical load of the elastic rod under axial compression in case the elastic unstability occurring is derived. The results of practical calculations are satisfactory.