Deformations of a Clamped-Clamped Elastica inside a Circular Channel with Clearance
Date Issued
2007
Date
2007
Author(s)
Lu, Zhi-Hao
DOI
zh-TW
Abstract
In this paper we study the planar deformations of an elastica inside a circular channel with clearance. One end of the elastica is fully clamped, while the other end is partially clamped in the lateral direction and is subject to a pushing force in the longitudinal direction. In the experiment, we observe various deformation patterns after pushing the elastica through the partial clamp. Both symmetric and asymmetric deformations are recorded. Special attention is focused on the contact conditions between the elastica and the circular channel. In order to analyze the elastica deformation theoretically, we first divide the elastica into several elementary sub-domains depending on the contact condition between the elastica and the circular channel. In each sub-domain the elastica is either only loaded at the ends or in full contact with the outer wall. Armed with these basic equilibrium analyses, we proceed to calculate and classify the loaded elastica into several different deformation patterns. Finally, we present the load-deflection curves which relate the external pushing force to the elastica length increase inside the channel. The branching phenomena exhibited by these load-deflection curves agree qualitatively with the experimental observations.
Subjects
夾持固定
板條
圓形通道
彈性理論
變形曲線
parially clamped
elastica
circular channel
sub-domains
deformation patterns
Type
thesis
File(s)![Thumbnail Image]()
Loading...
Name
ntu-96-R94522528-1.pdf
Size
23.53 KB
Format
Adobe PDF
Checksum
(MD5):2f5c8e3ff004bae2d836c078d6057a97