基于最小势能原理的变截面压杆临界压力的计算方法

Critical Pressure of Struct with Variable Section Based on the Minimum Potential Energy Principle

基于弹性力学的最小势能变分原理,对一类具有连续变截面的压杆进行了稳定性计算,得到了临界压力的表达式。该解能够适应可变截面形状和边界约束的压杆,计算简单方便,精确度较高,能够在工程中得到较为广泛的应用。

According to minimum potential energy variational principle of elastic mechanics and stabili- ty calculation of a continuous variable cross-section of the strut, the authors get the approximate expres- sions of the critical pressure. The approximate solution can adapt to a variety of variable cross-section strut and the method is not only accurate but also easy to use. Thus, they can be widely applied to engineering.