Deformation and vibration of compressed, nested, elastic rings on rigid base. (November 2018)

• Record Type: Journal Article
• Authors: Virgin, Lawrence N.; Giliberto, Joe V.; Plaut, Raymond H.
• Is Part Of: Thin-walled structures. Volume 132(2018)
• Page Start: 167
• Page End: 175
• Publication Date: 2018-11
• Subjects: Energy absorption -- Nested rings -- Nested thin-walled tubes -- Lateral compression -- Quasi-static loading; Thin-walled structures -- Periodicals; 690.1
• DOI: 10.1016/j.tws.2018.08.015
• Languages: English
• ISSNs: 0263-8231

Abstract

Abstract: Vertical circular rings and a system of three nested rings are tested and analyzed. The rings are clamped to a flat rigid base and are loaded vertically at the top by either a concentrated load or a rigid plate. The tests involve rings made by 3D printing. In the analysis, each ring is modeled as an inextensible elastica. For downward quasi-static loading, point contact at the base becomes line contact under sufficiently high loads. Deformations are determined, and small vibrations about equilibrium are examined. Good agreement is found between experiments and theory. The topic is motivated by the application of short nested tubes for energy absorption. Abstract : Highlights: Use of 3D printing to produce a set of high-precision slender circular rings. Good agreement for stiffness and natural frequencies between experimental data and the results of an elastica analysis. Grouping sets of nested rings such that contact occurs. Extension of elastic analysis to include contact. Good agreement for stiffness between experimental data and elastica analysis for nested rings.