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

作　　者：谢海[1] 寿开荣[1] 李龙[1] 李剑敏[1] 

机构地区：[1]浙江理工大学机械与自动控制学院,杭州310018

出　　处：《浙江理工大学学报（自然科学版）》2013年第1期87-89,共3页Journal of Zhejiang Sci-Tech University(Natural Sciences)

摘　　要：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.

关 键 词：变截面压杆 稳定性 最小势能原理 临界压力 

分 类 号：TH114[机械工程—机械设计及理论]