武汉工程大学学报2012，Vol.34Issue(12)：71-74,4.DOI:10.3969/j.issn.1674-2869.2012.12.017
压杆稳定临界力欧拉公式统一推导
Unified deduction of pressure lever stability critical force Euler formula
董冠文 1李宗义 1赵彦军 1王泽荫 1杨龙 1张庆华 1杜建霞 1赵典凯1
作者信息
- 1. 甘肃机电职业技术学院,甘肃天水741001
- 折叠
摘要
Abstract
Aimed at unified derivation of stability critical force Euler"s formula of compression bar using deflection line differential equation of curved scissors equation, which considers the shear and bending moment, not reflecting in the true sense of the rod deformation effect, the one end fixing the other end hinged branch of slender compressive bar small bending deflection line equation as a unified deflection line equation was put forward, which was substituted respectively into pressure rod ends hinge branch instability, pressure rod end fixed the other end free instability, pressure rod ends solid lost stability, compression bar end fixed the other end directional movable clamp buckling critical force boundary conditions of the method. The results show that two ends are fixed destabilizing hinge buckling critical force Euler formula, length factor μ= 1; one end of the destabilizing critical Euler formula hinged, length factor μ= 0. 7; one end of the columns is fixed and the other end destabilizing freedom critical Euler formula, the length factor μ=2; both ends are fixed loss of solid stability destabilizing critical Euler formula, length factor μ= 0. 5; one end of the columns is fixed and the other end can be directed to Euler formula about clamping instability critical force, length factor μ=1. Using this method to deduct the Euler's formula about the pressure lever critical stable force, and the result really reflects the whole deformation effect of the bar, reveals the essential difference between the rod pressure stability and pull, pressure, bending, twisting.关键词
细长压杆/微小弯曲/压杆稳定/临界力/Euler公式Key words
slender compressive bar/small bending/pressure lever stability/critical force/Euler formula分类
数理科学引用本文复制引用
董冠文,李宗义,赵彦军,王泽荫,杨龙,张庆华,杜建霞,赵典凯..压杆稳定临界力欧拉公式统一推导[J].武汉工程大学学报,2012,34(12):71-74,4.
