a b s t r a c tThis paper studies the vibration and stability of an elastica constrained by a pair of symmetrically placed parallel plane walls. One end of the elastica is fully clamped, while the other end is allowed to slide through a rigid channel under edge thrust. In order to take into account the variation of the contact points between the elastica and the walls during vibration, an Eulerian version of the equations of motion is adopted. It is found that the lowest few natural frequencies approach and remain degenerately zero when point-contact deformations evolve to line-contact patterns. As a consequence, the stability of all line-contact deformations before secondary buckling cannot be determined from the linear vibration analysis. A load-controlled experiment was conducted to find that the elastica jumped from one-point to twopoint, and then to three-point contact with the walls without going through any line-contact deformations. These experimental observations are different from the results reported previously by others with different set-ups, in which line-contact deformations did exist. Explanations based on experimental evidences and theoretical analyses are provided to confirm the validity of these previous investigations and clarify the cause of the difference.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
customersupport@researchsolutions.com
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.