Bifurcation-enhanced ultrahigh sensitivity of a buckled cantilever [PDF]
Proceedings of the National Academy of Sciences, 2018 Significance This work brings together the fields of nonlinear dynamics and precision measurement, aiming to develop a highly sensitive nonlinear mechanical force sensor. We use dynamic force spectroscopy of the buckled cantilever tip in an ambient condition, which allows sensitive detection of the noise-induced flipping near the bifurcation ...
Sangmin An +5 more
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Instability by Extension of an Elastic Nanorod [PDF]
NanomaterialsThe static stability of an elastic, incompressible nanorod subjected to an extensional force is analyzed. The force is applied to a rigid rod that is welded to the free end of the nanorod.
Armin Berecki +4 more
doaj +2 more sources
Bifurcations in the optimal elastic foundation for a buckling column [PDF]
Physics Letters A, 2010 7 pages, 8 figures.
Rayneau-Kirkhope, Daniel J. +3 more
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Bifurcation analysis and phase diagram of a spin-string model with buckled states [PDF]
, 2017 We analyze a one-dimensional spin-string model, in which string oscillators are linearly coupled to their two nearest neighbors and to Ising spins representing internal degrees of freedom.
Bonilla, L. L. +2 more
core +4 more sources
BIFURCATION BUCKLING OF SPHERICAL CAPS [PDF]
Communications on Pure and Applied Mathematics, 1964 Edward L. Reiss
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Characteristics of bifurcation and buckling load of space truss in consideration of initial imperfection and load mode [PDF]
Journal of Zhejiang University: Science A, 2013 Sudeok Shon, Seungjae Lee, Kang-guk Lee
exaly +2 more sources
Buckling of a Nonlinearly Elastic Column: Variational Principles, Bifurcation and Asymptotics [PDF]
Rocky Mountain Journal of Mathematics, 1995 We study the equilibrium states of an elastic column subject to an end thrust. The column is modeled as an inextensible rod with a nonlinear moment-curvature equation. We bring various mathematical theories to bear on this problem; the calculus of variations, bifurcation theory, phase plane analysis, and singular perturbation theory for ordinary ...
Peter Wolfe
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Geometrically exact bifurcation and post-buckling analysis of the granular elastica
International Journal of Non-Linear Mechanics, 2021 Noel Challamel
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Characteristics of Buckling Load and Bifurcation in Accordance with Rise-span Ratio of Space Truss Considering Initial Imperfection [PDF]
Journal of Korean Society of Steel Construction, 2012 SeungâJae Lee, Sudeok Shon
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