ZHAO Xiaofeng, SHEN Bo, MA Kejian, LIU Panpan, WANG Hui, WU Junyang, YANG Lei. Mechanical Model Research on Point Contact Between the Sleeve and the Inner Core With Over-Hang Lengths for Sleeved Columns[J]. Applied Mathematics and Mechanics, 2018, 39(9): 1009-1020. doi: 10.21656/1000-0887.380288
Citation: ZHAO Xiaofeng, SHEN Bo, MA Kejian, LIU Panpan, WANG Hui, WU Junyang, YANG Lei. Mechanical Model Research on Point Contact Between the Sleeve and the Inner Core With Over-Hang Lengths for Sleeved Columns[J]. Applied Mathematics and Mechanics, 2018, 39(9): 1009-1020. doi: 10.21656/1000-0887.380288

Mechanical Model Research on Point Contact Between the Sleeve and the Inner Core With Over-Hang Lengths for Sleeved Columns

doi: 10.21656/1000-0887.380288
Funds:  The National Natural Science Foundation of China(51468007)
  • Received Date: 2017-11-16
  • Rev Recd Date: 2017-12-27
  • Publish Date: 2018-09-15
  • 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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