Post-buckling behavior of a rod under end thrust
Date Issued
2015
Date
2015
Author(s)
Liou, Jhong-Yi
Abstract
In this paper we use elastic theory to study the deformation and natural frequencies of a rod. We consider a rod with circular section. One clamp is fixed with freely rotating bearing , and the other is attached to a slider which is allowed to slide without friction on a linear track. We study the post- buckling behavior and static deformation of a rod elastica by using shooting method. There are lots of static deformation of a rod elastica under axial thrust as we predict. Determine stability of each static deformation by perturbation theory. Moreover, we derive characteristic equation from governing equation of pre-rotated elastica to obtain critical load. We will discuss two different boundary conditions in this paper including spherically-hinged and clamped-clamped and the effect on different properties of elastica such as infinite initial torsion.
Subjects
elastic theory
vibration
director
Type
thesis
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ntu-104-R02522526-1.pdf
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