圆筒内有接头的细长杆稳定性问题  

Buckling of Thin Rods with Connectors Constrained by Circular Cylinder

作　　者：郁红露[1] 王鑫伟[1] 

机构地区：[1]南京航空航天大学机械结构力学及控制国家重点实验室,江苏南京210016

出　　处：《机械制造与自动化》2014年第1期56-59,66,共5页Machine Building & Automation

基　　金：国家自然科学基金项目(10972105)

摘　　要：圆筒内有接头的细长杆受轴压和重力作用下的稳定性问题,均假设接头部分紧贴圆筒壁,由于忽略了钻杆x向重力分量的影响,可能会低估正弦屈曲载荷。基于接头两端点接触的假设,建立了相应的控制微分方程,采用微分求积单元法(DQEM)进行求解。给出了公式和相应的迭代求解算法及具体的算例。结果表明,现有文献中给出的正弦屈曲载荷与忽略了钻杆x向重力分量的影响后得到的结果相同,比计及了钻杆x向重力分量的影响后得到的结果要小。This paper researches on the buckling behavior of constrained thin rods with connectors subjected to axial compression and gravitational loads,assuming that the connectors are in full contact with the outer cylinder.The sinusoidal buckling load may be underestimated due to neglecting the effect of gravitational load in the x-direction.Assuming that the connector is only in contact with the outer cylinder at its two endpoints; it establishes the governing differential equations.Differential quadrature element method （DQEM） is utilized for solving the established differential equations.Formulations,iterative solution procedures and specific examples are given.Numerical results show that the available sinusoidal buckling loads are exactly the same as the ones by neglecting the effect of gravitational load in the x-direction and they are lower than the ones based on the present formulations.

关 键 词：细长杆 稳定性 接头 空间梁 接头两端点 微分求积单元法 

分 类 号：TH16[机械工程—机械制造及自动化]