圆柱约束下细长压杆屈曲及后屈曲行为  

Buckling and post buckling behavior of slender compression rod under cylindrical restraint

作　　者：蒋娜 杜长城[1] 孙强强 JIANG Na;DU Changcheng;SUN Qiangqiang(School of Mechanical Engineering,Southwest Petroleum University,610500 Chengdu,China)

机构地区：[1]西南石油大学机电工程学院,成都610500

出　　处：《应用力学学报》2023年第4期848-854,共7页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金资助项目(No.11602208;51674216;11702230);四川省科技计划资助项目(No.2019JDTD0017);西南石油大学青年科技创新团队资助项目(No.2018CXTD07)。

摘　　要：研究了轴向力作用下受圆柱横向约束的弹性杆的屈曲和后屈曲行为。通过有限元模拟,分析了细长压杆发生正弦和螺旋屈曲的轴向临界力,提出了正弦和螺旋屈曲临界点判定方法,且与文献结果比较验证了分析的正确性。同时考察了长细比和边界条件等因素对临界力的影响。结果表明正弦屈曲临界力和螺旋屈曲临界力随杆的长细比减小而增大。杆在一定长度范围内,端部约束条件对临界屈曲载荷及模态的影响不可忽略;当杆的长度足够长时,可以忽略边界条件对临界载荷的影响。The buckling and post-buckling behaviors of an elastic rod subjected to both axial force and transverse cylindrical constraints are studied.The axial critical forces of sinusoidal buckling and spiral buckling of slender rod are analyzed by finite element simulation,and the discrimination method for critical point of sinusoidal and spiral buckling is proposed,which is verified by comparison with literature results.The influence of slenderness ratio and boundary conditions on the critical force is also investigated.The results show that the critical forces of sinusoidal buckling and spiral buckling increase with the decrease of the slenderness ratio of the rod.In a certain range of rod length,the influence of end constraint conditions on critical load and buckling mode is not negligible.While the influence of boundary conditions on the critical load can be ignored as the length of the rod is long enough.

关 键 词：圆柱约束屈曲 后屈曲 有限元分析 边界条件 

分 类 号：O343.3[理学—固体力学] O343.9[理学—力学]