Post-Buckling Behavior of a Rod under End Torque
Date Issued
2015
Date
2015
Author(s)
Lin, Shih-Sheng
Abstract
In this paper we study post-buckling behavior of a rod with both ends clamped. One end is unrotatable and fixed, the other end is rotatable and allowed to slide. Edge thrust is fixed and the end rotation is varied. Elastica model is adopted to take into account exact geometry in large deformation. Vibration method is then employed to determine the stability of the equilibrium solution. We discuss to two different edge thrust and two diffenrent material constant, then point out the difference. Also, we derive the equation for the critical moment of a spherically-hinged pre-twisted rod under axial moment. It is found that in the case when the cross section has unequal principal moments of inertia the pre-rotation caused by end moment cannot be ignored in calculating the critical moment. On the other hand, if the two principal moments of inertia are equal, such as circular or square cross section, both the pre-twist and pre-rotation have no effect on the critical moment. The resulted equation for critical moment can be considered as the extension of the well-known Greenhill’s formula.
Subjects
elastica
large deformation
vibration
critical torque
Type
thesis
File(s)![Thumbnail Image]()
Loading...
Name
ntu-104-R02522530-1.pdf
Size
23.54 KB
Format
Adobe PDF
Checksum
(MD5):33669ca9e336b1451600b60ade86a5de