剪切变形状态下压杆稳定临界力分析  

Critical Force Analysis of Slender Compressive Rod Stability Under Shear Deformation

作　　者：崔海军[1] CUI Haijun(Yangzhou Industry Polytechnic College,Yangzhou 225127,Jiangsu)

机构地区：[1]扬州工业职业技术学院,江苏扬州225127

出　　处：《攀枝花学院学报》2020年第2期29-36,共8页Journal of Panzhihua University

基　　金：扬州工业职业技术学院校级“青蓝工程”中青年学术带头人培养对象资助项目研究成果。

摘　　要：受压杆件的稳定性计算是工程结构中常见的分析问题,工程中实际压杆往往会发生剪切变形,但以往压杆临界力推导没有考虑压杆的剪切变形,另外材料力学中压杆的临界力按不同的约束条件分别推导,方法繁琐。论文提出了一端固定、另一端在平面内自由的细长压杆考虑剪切变形下压杆失稳计算模型,在剪切变形和弯曲变形平衡条件下推导细长压杆统一的挠曲线方程和转角方程;针对五种约束条件下的压杆,利用统一的挠曲线方程w(x)和转角方程φ(x)推导了考虑剪切变形状态下压杆稳定的临界力公式,在此基础上得到了考虑剪切变形状态下压杆稳定临界力统一公式。The calculation of compressive rod stability is a common problem in analyzing engineering structure.The shear deformation often occurs in the actual compressive rod in the engineering,however,in the calculation of critical force,the shear deformation of the compressive rod is not considered in the past.In addition,the critical force of the compressive rod in the material mechanics is deduced in a tedious manner according to the different constraints.In this paper,a slender rod with one end fixed and the other end free in the plane is proposed as the calculation model of the buckling of the bar under the shear deformation.Under the conditions of the shear deformation and the balance of the bending deformation,the unified deflection curve equation and the angle equation of the slender rod are derived.The unified deflection curve equation w(x)is used for the compressive rod under the five constraints.The formula of critical force considering the stability of the compressive rod under shear deformation is derived from the angle equation(x).On this basis,a unified formula for the stability critical force of the rod under the condition of shear deformation is obtained.

关 键 词：剪切变形 细长压杆 压杆稳定 挠曲线 转角 临界力 

分 类 号：O341[理学—固体力学] TU311.4[理学—力学]