关于剪切变形对压杆屈曲影响的分析  

Analysis on the Effect of Shear Deformation on Buckling of Compression Bar

作　　者：李政 吴晓 肖珍 LI Zheng;WU Xiao;XIAO Zhen(School of Intelligent Building,Changde College,Changde 415000,China)

机构地区：[1]常德学院智能建筑学院,中国常德415000

出　　处：《湖南师范大学自然科学学报》2024年第1期130-133,共4页Journal of Natural Science of Hunan Normal University

基　　金：国家自然科学基金资助项目(52008164);湖南省教育厅科学研究项目(22C0939)。

摘　　要：利用压杆剪应变与轴向应变、弯曲挠度的微分关系建立了压杆弯曲微分方程,推导出了压杆发生弹性失稳时的屈曲载荷公式。计算分析表明:剪切变形对实心等截面压杆屈曲载荷的影响可忽略不计,格缀压杆的屈曲载荷则要考虑剪切变形的影响。同时,还指出有关文献认为深梁在轴力作用下与初等梁一样也有稳定问题这一说法不妥。Based on the differential relationship between shear strain,axial strain and bending deflection,the bending differential equation of the compressed bar is established,and the buckling load formula of the compressed bar under elastic instability is derived.The calculation results show that the effect of shear deformation on the buckling load of the solid compressed bar with uniform cross-section is negligible,but the effect on the latticed compression bar should be considered.At the same time,it is pointed out that it is not proper to say that the deep beam has the same stability problem as the primary beam under the axial force in the relevant literature.

关 键 词：剪切变形 压杆 屈曲 载荷 深梁 

分 类 号：O341[理学—固体力学]