轴压薄壁圆筒临界力的计算  

CALCULATION OF THE CRITICAL LOAD FOR THE THIN WALLED CYLINDER UNDER AXIAL COMPRESSION

作　　者：吴宗枢 沈振亚[1] 

机构地区：[1]上海工程技术大学

出　　处：《机械设计》1990年第3期29-31,共3页Journal of Machine Design

摘　　要：本文首先对轴压薄壁圆筒作出简单的力及其变形分析。然后从微单元体静力平衡,推导出关于筒壁径向位移的微分方程。应用圣维南原理以及力边界条件,确定求解微分方程中的4个积分常数。于是我们得出筒壁径向位移的挠度方程。再利用出现在挠度方程中的不定型式,我们可以找出计算临界力的公式。最后对这一算式的实际可用性作了说明。This paper makes simple force and its deformation analyses for the thin walled cylinder under axial compression at first. Then from static equilibrium of a differential element, the differential equation for the radial displacement of cylindrical wall are derived out. By applying Saint-Yehant's principle force boundary conditions, four integration constants in solving differential equation are determined. Hence, we arrive at the deflection equation for the redial displacement of cylindrical wall. Further, by making use of indetermined form appearing in the deflection equation, we can find out the formula for calculating the critical force. Finally, the practical adaptability for this calculating formula is explained. Fig3Tab1 Ref2

关 键 词：薄壁圆筒 临界力 计算 机械构件 

分 类 号：TH133[机械工程—机械制造及自动化]