Boundary layer analysis for the eigenvalues of hanging rod

DOI10.1016/j.jmaa.2011.12.014zbMath1231.74267OpenAlexW2005833032MaRDI QIDQ663735

Jie Liao

Publication date: 27 February 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.12.014

zbMATH Keywords

singular perturbationeigenvalue problemboundary layer analysishanging rod

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite difference methods applied to problems in solid mechanics (74S20) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

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• Multiple scale and singular perturbation methods
• Coiling of flexible ropes
• Uniform asymptotic stability of systems of differential equations with a small parameter in the derivative terms
• Ponytail Motion
• Regular degeneration and boundary layer for linear differential equations with small parameter
• Multibody Dynamics
• Nonlinear problems of elasticity

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