考虑轴向变形下的细长压杆屈曲分析  

Buckling Analysis of Slender Compression Bar under Axial Deformation

作　　者：赵恒 肖珍 Zhao Heng;Xiao Zhen(School of Intelligent Building,Changde College,415000,China)

机构地区：[1]常德学院智能建筑学院,415000

出　　处：《特种结构》2024年第3期23-28,共6页Special Structures

基　　金：国家自然科学基金(52008164);湖南省教育厅项目(HNJG-2022-1365);湖南省一流本科课程资助项目(湘教通[2021]28号).

摘　　要：用简化弹性力学方法建立了轴压下细长压杆的屈曲微分方程,推导出了轴压下细长压杆的挠曲线方程及屈曲载荷公式。研究结果表明:在轴向压力作用下,轴向压力小于或等于屈曲载荷时,压杆始终是保持直线状态。当考虑细长压杆轴向变形时,利用线性屈曲微分方程,可以确定细长压杆的中点挠度。当细长压杆表面没有孔洞且为整体连续时,剪切变形对屈曲载荷的影响可以忽略不计。对于格构式细长压杆的屈曲载荷,剪切变形的影响较大,不能忽略剪切变形对屈曲载荷的影响。The buckling differential equation of the slender pressure bar under axial compression was estab-lished by the simplified elastic mechanics method,and the deflection curve equation and the buckling load for-mula were derived.The research results show that under the axial pressure,if the axial pressure is less than or equal to the buckling load,the bar would always maintain a straight line.While considering the axial deforma-tion,the middle deflection can be determined by using the linear buckling differential equation.The effect of shear deformation on buckling load can be ignored when there are no holes on the surface of the slender pressure bar and it is integral and continuous.The shear deformation has a great influence on the buckling load of the lat-tice slender pressure bar,so the influence of shear deformation on the buckling load cannot be ignored.

关 键 词：弹性力学 细长压杆 屈曲载荷 剪切变形 轴向变形 中点挠度 

分 类 号：TU323.2[建筑科学—结构工程] O341[理学—固体力学]