基于最小势能原理的变截面压杆临界压力的计算方法

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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.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。