Post-Buckling Behavior of a Rod under End Torque and Axial Load
Date Issued
2016
Date
2016
Author(s)
Sie, Cheng-Xun
Abstract
We study the deformation of a clamped-clamped rod under combined edge thrust and twist. Two types of loadingcombinations are considered, i.e., twist-shortening and shortening-twist. In twist-shortening, the rod is pre-rotated a specified angle and then the two ends are brought closer quasi-statically. Shortening-twist is the other way around. Continuation scheme based on shooting method is employed to study the rod deformation as the end twist and shortening vary. We first examine the deformation sequence when the two ends are brought to one half of the initial distance and then the twist angle is increased quasi-statically. The deformation jumps from free-of-contact to one-point contact, then jumps again to two-point, then evolves smoothly to three-point and then to point-line-point writhing. In the case of twist-shortening, a typical deformation sequence also includes free of self-contact, one-point, two-point, three-point, and point-line-point contact. The final stage of deformation when the two ends approach each other depends on the pre-rotation. For instance, when the rod is pre-rotated and beyond, the final deformation as the two ends approach each other is point-line-point self-contact. For pre-rotations , , and , the final deformations are three-point, two-point, and one-point self-contacts, respectively.
Subjects
elastica
self-contact
line-contact
Type
thesis
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