Mechanical Model Research on Point Contact Between the Sleeve and the Inner Core With Over-Hang Lengths for Sleeved Columns
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摘要: 针对轴向压力作用下具有内核伸出段的套管构件,理论研究了初弯曲内核与柔性套筒的点接触变形过程.采用小挠度二阶平衡微分方程,推导了内核处于点接触状态时套管构件的挠度、剪力、弯矩、接触力等物理量的计算公式.理论的对比结果表明:1)内核伸出段会显著增大套管构件的弯曲轴向位移,降低套管构件的非线性轴向刚度;2)内核伸出段使内核与套筒端部的接触反力有显著的增加,随着轴向压力的增大,该接触反力的增加更大;3)内核伸出段使内核的剪力、弯矩均有显著的提高,尤其在内核与套筒抗弯刚度比值较大时,弯矩的提高更显著.该文的研究可为套管构件及内核与套筒端部连接的设计提供依据.Abstract: To study the sleeved column with inner core over-hang lengths under axial compression, the deformation process of point contact between the initially bending inner core and the flexible sleeve was studied theoretically. The 2nd-order differential equilibrium equations of small deflection were used to deduce the formulas for the physical quantities including the deflection, the moment, the shear force and the contact reaction of the inner core and the sleeve, etc. The comparison of the theoretical results shows: 1) for the inner core with over-hang lengths, the contact process significantly increases the bending axial displacement of the sleeved column under axial compression, and reduces its nonlinear axial stiffness; 2) the contact process dramatically raises the reaction forces between the inner core and the sleeve ends, even more sharply with the increase of the axial compression; 3) the contact process remarkably magnifies the shear force and the bending moment of the inner core, and the moment increases faster especially in the case of a larger flexural rigidity ratio of the inner core to the sleeve. This research provides a basis for the design of sleeved columns and the end connection between the inner core and the sleeve.
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Key words:
- over-hang length of the inner core /
- sleeved column /
- mechanical model /
- point contact /
- buckling
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