引用本文: 申波, 邓长根. 柔性套管约束下轴心受压杆件的屈曲分析[J]. 力学与实践, 2006, 28(5).
BUCKLING ANALYSIS OF AN AXIALLY COMPRESSIVE STRUT CONSTRAINED BY A FLEXIBLE SLEEVE[J]. MECHANICS IN ENGINEERING, 2006, 28(5).
 Citation: BUCKLING ANALYSIS OF AN AXIALLY COMPRESSIVE STRUT CONSTRAINED BY A FLEXIBLE SLEEVE[J]. MECHANICS IN ENGINEERING, 2006, 28(5).

## BUCKLING ANALYSIS OF AN AXIALLY COMPRESSIVE STRUT CONSTRAINED BY A FLEXIBLE SLEEVE

• 摘要: 针对柔性套管约束杆件，研究了轴压杆件与约束杆件点、线接触时的约束屈曲. 在小挠度变形假设下，根据轴压杆件与约束杆件满足变形协调条件的二阶平衡微分方程，推导了轴压杆件挠度、轴向位移、接触反力的计算公式，并且由轴向压力唯一确定了线接触的长度. 算例分析表明：当约束杆件刚度较小时，轴压杆件弯曲产生的轴向位移较大；当约束杆件刚度较大时，轴压杆件弯曲产生的轴向位移较小，该轴向位移与文献中的大挠度解吻合很好，从而得出小挠度变形假设是合理的.

Abstract: The buckling of an axially compressive strutconstrained by a flexible sleeve is studied for the cases of a single point contactand a curved line contact between the strut and the sleeve. Under the smalldeflection assumption, the second order differential equilibrium equationsof the strut and the sleeve satisfying deformation compatibilityconditions are obtained. The deflection, the axial displacement, and thecontact reactions of the strut are then obtained. The length of the linecontact is uniquely determined by the axially compressive force. Twoexamples indicate that the axial displacement of the strut caused by bendingis large when the stiffness of the sleeve is small, and vice versa,which is in good agreementwith the large deflection solution. It is confirmed that thesmall deflection assumption is valid here.

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈