轴压作用下圆形截面双模量梁的弹性屈曲  

Elastic Buckling of the Double Modulus Beam with Circular Section under Axial Compression

作　　者：吴晓 肖珍[1] WU Xiao;XIAO Zhen(School of Intelligent Building,Changde College,Changde 415000,China;College of Mechanical Engineering,Hunan University of Arts and Science,Changde,415000,China)

机构地区：[1]常德学院智能建筑学院,常德415000 [2]湖南文理学院机械工程学院,常德415000

出　　处：《湖南师范大学自然科学学报》2024年第6期132-140,共9页Journal of Natural Science of Hunan Normal University

基　　金：国家自然科学基金青年基金项目(52008164);湖南省教育厅项目(22C0939)。

摘　　要：研究了圆形截面双模量梁的弹性屈曲问题。在考虑轴向压力对中性轴位置有影响的基础上,利用轴向静力平衡方程及弯曲微分方程确定了梁中性轴位置,求得双模量梁的屈曲载荷公式。研究表明:轴向压力会使圆形截面双模量梁中性轴向拉伸区偏移,偏移将使屈曲载荷变化,在实际计算时可忽略中性轴偏移的影响,圆形截面双模量梁屈曲载荷对拉压弹性模量的变化不敏感。The elastic buckling of the double modulus beam with circular section was studied.Considering the influence of the axial pressure on the neutral axis position,the neutral axis position of the beam was determined by the axial static balance equation and the bending differential equation,and the buckling load formula of the double modulus beam was obtained.The results show that the axial pressure will shift the neutral axial tension area of the double modulus beam with circular section,and the offset will change the buckling load.The influence of the neutral axis shift can be ignored in the actual calculation,and the buckling load of the double modulus beam with circular section is not sensitive to the change of the elastic modulus of tension and compression.

关 键 词：轴向压力 圆形截面 双模量 梁 屈曲载荷 中性轴 

分 类 号：O341[理学—固体力学]