Deformation and vibration of a spatial clamped elastica with noncircular cross section
type: Item
instance of: scholarly article
title: Deformation and vibration of a spatial clamped elastica with noncircular cross section
zbMATH Open document ID: 1406.74382
author: Joyce Fang
author: Jen-San Chen
published in: European Journal of Mechanics. A. Solids
publication date: 2018-09-03T00:00:00Z
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 6930841
zbMATH Keywords: spatial elastica
zbMATH Keywords: noncircular cross section
zbMATH Keywords: vibration
MaRDI profile type: Publication
full work available at URL: j.euromechsol.2014.04.002
OpenAlex ID: W2055087139
cites work: A multiplicity of localized buckling modes for twisted rod equations
cites work: On the dynamics of rods in the theory of Kirchhoff and Clebsch
cites work: Inhomogeneities and localised buckling patterns
cites work: Nonlinear dynamics of filaments. I: Dynamical instabilities
cites work: CLASSIFICATION OF THE SPATIAL EQUILIBRIA OF THE CLAMPED ELASTICA: NUMERICAL CONTINUATION OF THE SOLUTION SET
cites work: Exact solutions for the buckling and postbuckling of shear-deformable beams
cites work: Nonlinear Spatial Equilibria and Stability of Cables Under Uni-axial Torque and Thrust
cites work: Analytical solution of spatial elastica and its application to kinking problem
cites work: Classification of the spatial equilibria of the clamped elastica: Symmetries and zoology of solutions
cites work: Writhing instabilities of twisted rods: From infinite to finite length
cites work: STABILITY OF SPATIAL ELASTICA IN A GRAVITATIONAL FIELD
cites work: Three-dimensional postbuckling and vibration of vertical half-loop under self-weight
cites work: The torsional buckling and writhing of a simply supported rod hanging under gravity
cites work: From helix to localized writhing in the torsional post-buckling of elastic rods
cites work: The Spatial Complexity of Localized Buckling in Rods with Noncircular Cross Section
cites work: Instability and self-contact phenomena in the writhing of clamped rods.
cites work: Lock-on to tape-like behaviour in the torsional buckling of anisotropic rods
cites work: Helical and localised buckling in twisted rods: A unified analysis of the symmetric case
DOI: 10.1016/J.EUROMECHSOL.2014.04.002
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description: scientific article; zbMATH DE number 6930841